**JAVA BASICS PDF Download**

**Pattern 1:****1. (1/2) of a number is 3 more than the (1/6) of the same number?**

a) 6 b)7 c)8 d)9

2. (1/3) of a number is 3 more than the (1/6) of the same number?

a) 6 b)16 c)18 d)21

3. (1/3) of a number is 6 more than the (1/6) of the same number?

a) 6 b)18 c)36 d)24

4. (2/3) of a number is 4 more than the (1/6) of the same number?

a) 6 b)8 c)36 d)24

5. (1/3) of a number is 5 more than the (1/6) of the same number?

a) 6 b)36 c)30 d)72

**Pattern 2:**

*1. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160…..in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?*

a) 26 B)25 c)5 d)27a) 26 B)25 c)5 d)27

Sol: Given that B fills up at the rate 10,20,40 etc...

This is a geometric progression where a = 10 r = 2

so after 21 hrs lts in B = a*r

21 = 10 * 221

This is equal to 1/32 volume of B

SO TOTAL VOLUME OF B = 32 * 10 * 221

which is =10 * 226

So hrs required to fill up B is 26

Or

for every hour water in tank in B is doubled,

Let the duration to fill the tank B is x hours.

x/32 part of water in tank of B is filled in 21 hours,

Next hour it is doubled so,

2*(x/32) part i.e (x/16) part is filled in 22 hours,

Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours,

(x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours

So answer is 26 hours.

**2. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160…... If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely?**

a) 9 B)8 c)7 d)6a) 9 B)8 c)7 d)6

3. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160…..in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tank fully?

a) 26 B)25 c)5 d)27

4. A tank is filled with water. In first hour 10 liters, second hours 20 liters, and third hour 40 liters and so on…If time taken to fill ¼ of the tank if 5 hours. What is the time taken to fill up the tank?

a) 5 B)8 c)7 d)12.5

5. If a tank A can be filled within 10 hours and tank B can be filled ¼ in 19 hours then, what is the time taken to fill up the tank completely?

a) 21 B)38 c)57 d)76

**Pattern 3:**

1. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?1. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

a) 43 b)69 c)52 d)31a) 43 b)69 c)52 d)31

__a+b+c+d+e+f+ Z = 45*7 =315__

**Sol:**a+b+c+d+e+f+ 12 = 43*6 = 258

therefore : a+b+c+d+e+f = 246

so age of seventh person "Z" is = 315 - 246 = 69

2. In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all?

a) 43 b)45 c)47 d)49

3. In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What’s the age of 6th person?

a) 25 b)20 c)45 d)30

4. In a market 4 men are standing .The average age of the four before 2 years is 55, after some days one man is added and his age is 45. What is the average age of all?

a) 55 b)54.5 c)54.6 d)54.7

**Pattern 4:**

1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

a)8 b)none c)16 d)151. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

a)8 b)none c)16 d)15

Sol: There are some readers such that in each

occupied reading spot there are different numbers of

readers.

1+2+3+4+5+6+7+8= 36 readers

so ,8 spots have different readers.

remainings are 23-8= 15.

15 spots are empty.

occupied reading spot there are different numbers of

readers.

1+2+3+4+5+6+7+8= 36 readers

so ,8 spots have different readers.

remainings are 23-8= 15.

15 spots are empty.

Or

he just said that in each different spot there are different

number of readers. So there will be many possibilities...

It is same as number of ways in which you can make a sum of

9 using only digits from 1 to 9 each at most once...

Consider

1+2+3+6+7+8+9 = 36

In this case answer is: 23-7 = 16

but different answers are possible depending on case u choose

**2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?**

a) 8 b)6 c)2 d)7a) 8 b)6 c)2 d)7

3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?

a) 8 b)6 c)2 d)7a) 8 b)6 c)2 d)7

**Pattern 5:**

1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mpha) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

**Sol: Average speed=2*x*y/(x+y)=2*6*4/(6+4)=4.8 kmph**2. A man travels from A to B at 4 mph over a certain journey and returns over the same route to A, at 5 mph. What is his average speed for the journey?

a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

3. A person is rock climbing at an altitude of 800 m. He go up by 7 mph. and come down by 9 mph. what was his average speed?

a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

4. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m?

a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

5. Person travels to a hill, if he goes from A to B with speed of 4kmph and returns back to B with speed of 5kmph. What is his average speed of journey?

a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

6. A man travels from A to B at 70 mph over a certain journey and returns over the same route to A, at 80 mph. What is his average speed for the journey?

a) 74.66 b)75 c)74.33 d)74.99

7. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.

a) 28.8 b)28 c)27 d)28.6

**Pattern 6 :**

1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

a) 114 b) 135 c) 21 d) 71a) 114 b) 135 c) 21 d) 71

Sol: dimensions of small cube = 2*2*2

Length of cube = 3 small cubes long = 6 cm

Breadth = 9 small cubes wide = 18 cm

Height = 5 small cubes deep = 10 cm

Volume = 6*18*10 = 1080cm^3

Volume of hollow cube = (6-4)(18-4)(10-4)

= 168 cm^3

total number of blocks needed = 1080-168 /8 = 912/8 = 114

2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?

a) 2000 b) 5000 c) 3000 d) 7000a) 2000 b) 5000 c) 3000 d) 7000

Sol: Total volume of cube = 5 * 6 * 7 = 210 m cube

volume of smaller cube 0.03

Total cubes reqd = 7000

for hollow cube no. of small cubes reqd = 5/0.03 *4 + 6/.03 * 4 + 7/

which is approx 2000 so 5000 cubes have to be removed

Note:4 sides of 5,6 and 7 in the cube...so multiplied by 4

3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?

a) 98 b) 104 c) 100 d) 61

4. Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube?

a)500 b)250 c)750 d)650

5. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes does she need to make a perfect cube?

a) 910 b) 250 c) 750 d) 650

6. A lady builds 9cm length, 10cm width,3cm height box using 1 cubic cm cubes. What is the minimum number of cubes required to build the box?

a) 730 b) 270 c) 720 d) 310

**Pattern 8:**

1. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?

a)8 b)9 c)71 d)51

2. (98*98*98 – 73*73*73)/( 98*98*98 – 73*73*73)=?

a).171 b).4 c).420 d).415

3. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?

a)905863729 b)905368729 c)905729368 d)65

**Pattern 9:**

1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

a)8 b)none c)16 d)15

2. x/2y = 2a,then 2x/x-2ay=?

a)4 b)8 c)16 d)2

3. 3X/5Y = 5Y/3X…..Find the value of X/Y

a)3/5 b)5/3 c)2/5 d)5/2

4. What is the value of (3X+8Y)/(X-2Y), if X/2Y=2

a)8 b)none c)10 d)13

5. (4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

a)48/5 b)46/5 c)47/5 d)49/5

6. ((4x+2y)/(4x-2y)= ? as (x/2y) = 2

a)8/7 b)9/7 c)11/7 d)6/7

**Pattern 10:**

1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?

a)16 b)56 c)112 d)28

Sol: The number of ways of choosing r distinct objects from n distinct objects is given by the formula

C(n, r) = n!/r!*(n-r)!

where n! = n(n-1)(n-2).......3*2*1

If order was important, the number of arrangements is

P(n,r) n!/(n-r)!

Now suppose you wanted to display one topping in the middle and the other around the edge, you would be considering arrangements

and the answer would be

P(8, 2) = 8!/6!

= 8*7

C(n, r) = n!/r!*(n-r)!

where n! = n(n-1)(n-2).......3*2*1

If order was important, the number of arrangements is

P(n,r) n!/(n-r)!

Now suppose you wanted to display one topping in the middle and the other around the edge, you would be considering arrangements

and the answer would be

P(8, 2) = 8!/6!

= 8*7

However, suppose that you wish to sprinkle toppings randomly over the pizza base. Since it does not matter what the arrangements

are, the number of ways is

C(8, 2) = 8! / 2!*6!

= 8*7 / 2*1

= 56/2

= 28

This is correct.

2. A pizza shop made pizzas with many flavors. There are 10 different flavors, in that 7 flavors are taken to make pizza. In how many ways they can arrange?

a)240 b)120 c)65 d)210

3. A pizza shop made pizzas with many flavors. There are 9 different flavors, in that 2 flavors are taken to make pizza. In how many ways they can arrange?

a)16 b)26 c)36 d)46

**Pattern 11:**

1. 3, 22, 7, 45, 15,? , 31

a)91 b)151 c)90 d)5

2. 8 6 17 14 35 31 75 _ 143?

Sol: From the given question it is clear that

the difference between the consecutive two digits is 2,3,4

8-6=2

17-14=3

35-31=4

75-x=5;

from the above equation we get that x value is 70

final solution is 70

the series become 8 6 17 14 35 31 75 70 143 137..........

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?

a)202 b)31 c)76 d)49

Sol: Ans=202

bcos in the given series there are two other series..in the form of

1 ,2 ,3 ,7 ,7 ,22 ,15 ,67 ,31 ,_ ,63;

choose the alternate digits:1,3,7,15,31,63

these are follow the pattern like n*2+1

1

3=n*2+1(wher n=1)

7=n*2+1(wher n is the previous number)

15=7*2+1(where n=7)

31=15*2+1(wher n=15)

63=31*2+1(where n=31)

but we dont need this series.just for understanding i gave the above matter

anothe series in the given series in:2 ,7 ,22 ,67 ,_

we hav to find the number in the blank

this series is in the form of n*3+1

so the series consists of the following numbers 2

7=2*3+1(where n=2)

22=7*3+1(wher n=7) 67=22*3+1(wher n=22)

for the next number we need to multiply the previous number with 3 and add a 1 to the result

finally next digit=67*3+1=202

the final series 1,2,3,7,7,22,15,67,31,202,63

bcos in the given series there are two other series..in the form of

1 ,2 ,3 ,7 ,7 ,22 ,15 ,67 ,31 ,_ ,63;

choose the alternate digits:1,3,7,15,31,63

these are follow the pattern like n*2+1

1

3=n*2+1(wher n=1)

7=n*2+1(wher n is the previous number)

15=7*2+1(where n=7)

31=15*2+1(wher n=15)

63=31*2+1(where n=31)

but we dont need this series.just for understanding i gave the above matter

anothe series in the given series in:2 ,7 ,22 ,67 ,_

we hav to find the number in the blank

this series is in the form of n*3+1

so the series consists of the following numbers 2

7=2*3+1(where n=2)

22=7*3+1(wher n=7) 67=22*3+1(wher n=22)

for the next number we need to multiply the previous number with 3 and add a 1 to the result

finally next digit=67*3+1=202

the final series 1,2,3,7,7,22,15,67,31,202,63

4. 3, 12, 7, 26, 15, ?

a)54 b)27 c)108 d)31

5. 1! + 2! + ……. + 50!=?

a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

6. 1, 2, 3, 6, 7, 14, _, 32?

7. 5, 9, 12, 18, 26, 36, 47, 72, _?

a)75 b)135 c)100 d)55

**8). 3, 15, x, 51, 53,159,161**

a)17 b)34 c)54 d)112

a)17 b)34 c)54 d)112

Sol: Difference between the two consecutive numbers is 2; exclude 3 here

consider 17 here then

17-15=2 and next number will be 17*3=51

same process continued.

53-51=2 and next number is 53*3=159

Ans is 17

**9. 2,7,24,77,??,??**
sol :

2,7,24,77,238,723

2*3+1=7

7*3+3=24

24*3+5=77

77*3+7 = 238

238*3+9 = 714+9= 723

10)

### Complete the sequence 9,10,11,13,15, __, 21,28.

19

9,10,11,13,15, __, 21,28.

9,10,11,13,15, 19, 21,28.

there are 2 series.

9,11,15,21 ... with difference in numbers 2,4,6,8 and 10,13,19,28.. with diff in numbers 3,6,9

9,10,11,13,15, __, 21,28.

9,10,11,13,15, 19, 21,28.

there are 2 series.

9,11,15,21 ... with difference in numbers 2,4,6,8 and 10,13,19,28.. with diff in numbers 3,6,9

**Pattern 12:**

1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b &c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?

a)95 b)95.428 c)95.45 d)94

1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b &c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?

a)95 b)95.428 c)95.45 d)94

Sol: a+b+c =167 given

first a is weighd then b then c then a+b , b+ c , c+ a and lastly a+b+c

so total = a + b + c+ (a+ b) + (b+c) + (c+a) + (a+b+c)

= 4(a+b+c)

so avg of 7 weighs = 4/7 * 167 = 95.428

### 2.How many 3 digits with 3 Distinct digits are there from 100-1000.

9*9*8=648**Pattern 13:**

**1. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?**

a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32

a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32

Sol: it can produce sound A , prob = 1/2 * 1/2 * 1/2 * 1/2 = 1/8

or sound B , prob = 1/8

so prob of consecutive sound = 1/8 + 1/8 = 1/4

or

Total number of cases 2 can be chosen out of 10 = 10c2 = 45 ways.

first note in 10 ways , second note in 1 way only.

so prob = 10/45 = 2 out of 9

or

First Time choose sound =1/2

second

third

fourth

fifth =1/2

total=(1/2)^5=1/32

2. A car manufacturer produces only red and blue models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?

a)1 in 16 b)1 in 125 c)1 in 32 d)1 in 25

Sol: Probability that a car is red or blue = 1/2

So, probability that each of the five cars are of a color =

Probability that a car is blue + Probability that a car is red

= (1/2)

5

+ (1/2)

5

= 2*(1/2)

5

=1/16

**Pattern 15:**

1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?

a)280.5625 b)240.5625 c)280.125 d)240

1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?

a)280.5625 b)240.5625 c)280.125 d)240

Sol: Length of the rope = 67

Length of side of square = 67/4

Area of square = (67/4)

2

2. A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?

a)280.5625 b)333.0625 c)333.0125 d)400

**Pattern 16:**

1. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0

2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

1. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0

2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

Sol: ax + by + cz + d = 0

At the z-intercept, 'x' and 'y' are both zero.

cz + d = 0 --> z = -d/c --> The z-intercept is the point (0, 0, -d/c).

At the x-intercept, 'y' and 'z' are zero.

ax + d = 0 --> x = -d/a --> The x-intercept is the point (-d/a, 0, 0).

The distance between the points (0, 0, -d/c) and (-d/a, 0, 0) is

sqrt[ (-d/a)2+ (-d/c)2 ] = sqrt (d2/a2+ d2/c2) = d sqrt(1/a2 + 1/c2)

Pattern 17:

Pattern 17:

1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?

a)white b)black c)gray d)brown

1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?

a)white b)black c)gray d)brown

Sol: Since it is the north pole, the colour of the bear is white!

As brown and black bears are not found on the poles!

**Pattern-18:**

1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys

a)1/64 b)1/32 c)1/128 d)1/256

1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys

a)1/64 b)1/32 c)1/128 d)1/256

Sol: the first result doesn't affect subsequent ones.

for each birth, P[boy] will be 1/2

using the multiplicative principle,.

P[next 5 are boys] = 1/2 *1/2 *1/2 *1/2 *1/2 = 1/32 <-------

**Pattern 19:**

**1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?**

a)153 b)152 c)154 d)155

2. A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a piece. What is the total time taken by him in seconds to make 146 pieces?

a)584 b)580 c)730 d)725

3. A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a piece. What is the total time taken by him in seconds to make 141 pieces?

a)560 b)280 c)112 d)324

**Pattern 20:**

1. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

a) $27 b)$ 18 c)$45 d)$ 486

1. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

a) $27 b)$ 18 c)$45 d)$ 486

Sol: Change in price = 45 - 27 = 18

So for 27 boxes = 27 * 18 = 486

Pattern 21:

Pattern 21:

1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

**Pattern 22:**

1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a)loss 23 b)gain 23 c)gain 54 d)Loss 54

1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a)loss 23 b)gain 23 c)gain 54 d)Loss 54

He also paid neighbor 35 $

Total payment 39 $

Cost 19 $

Loss 20 $

**Pattern 23:**

1. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

a)50 b)8 c)60 d)42

1. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

a)50 b)8 c)60 d)42

Sol: since it is dark....

take worst case

satisfy largest number first.....

since she wants it in pair

32 red

24 yellow

1+1 yellow+blue

2 blue

=60

**2. A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?**

Take worst case..

Satisfy largest number first….

20 red

18 yellow

2 blue

=40

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

Take worst case…

Satisfy largest number first…

40 yellow

26 red

1 +1 red + blue

2 blue

=70

4. A lady has fine gloves and hats in her closet- 25blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

**Pattern 24:**

**1. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?**

**a)1/2 b)1/6 c)1/12 d)6/10**

**2. There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?**

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

a) If no. is odd it is head, if no. is even it is tail

b) If no. is odd it is tail, if no. is even it is head

c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

Sol: ans is c)

in question itself it will clearly mentioned whether that is it was a not known fair or not. so first we have to check whether it is fair

or not. so we toss a die until all the 10 faces appear on top, then only we can decide which one is odd and which one is even

**Pattern 25:**

1. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

a)4 boys and 3 girls b)3 boys and 4 girls c)2 boys and 5 girls d)5 boys and 2 girls

1. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

a)4 boys and 3 girls b)3 boys and 4 girls c)2 boys and 5 girls d)5 boys and 2 girls

for each girl in option 1 there are 2 sisters and 4 brothers

so answer is option 1

Pattern 26;

1. 10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

a)22 b)20 c)10 d)none

Pattern 26;

1. 10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

a)22 b)20 c)10 d)none

Sol: Since 10 is an even number, and people dance in couples, there wouldn't be a lone dancer.

So never!

So never!

2. There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:

a) There are 2 men who danced with equal no. of women’s

b) There are 2 women who danced with equal no. of men

a) both a and b b)only a c)only b d)none

Pattern 27:

Pattern 27:

1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?

a)257 b)256 c)72 d)255

1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?

a)257 b)256 c)72 d)255

Sol: The number of teams for 8 rounds is:

256->128->64->32->16->8->4->2->1

Thus initially der wer 256 teams.

But wat is askd is the numbr of matches that were played to reach the winner.

The number of matches for 8 rounds is:

128->64->32->16->16->8->4->2->1

128+64+32+16+8+4+2+1=255

2. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?

a)256 b)512 c)64 d)128

**Pattern 28:**

1. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

Sol: only the height of the metal strip changes,the length as well the width of the metal strip remains same....so the answer can be

concluded as 'x'

2. A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.

**Pattern 29:**

1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?

a)6 b)21 c)28 d)7

1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?

a)6 b)21 c)28 d)7

Sol: A1 can shake hands with 6 people, A2-A7

A2 can shake hands with 5 people, A3-A7 and so on

If there are n people, there are (n-1)! ways for them to shake hands.

In this case, 6!=720 ways.

2. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

a)122 b)66 c)48 d)128

**Pattern 30:**

1. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?

a)yes b)no c)may be d)can’t find

1. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?

a)yes b)no c)may be d)can’t find

Sol: According to the first condition,

B > j + 3 pillars

According to the second condition,

B + 2 pillars > P

Rewriting the first equation,

B + 2 pillars > j + 5 pillars

Comparing it with the second equation,

we can't say any thing about P and j! B > j + 3 pillars

According to the second condition,

B + 2 pillars > P

Rewriting the first equation,

B + 2 pillars > j + 5 pillars

Comparing it with the second equation,

2. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Julia

c) Chelsea is shorter than Julia

d) Cannot determine who is taller among Chelsea and Julia

**Pattern-31**

1. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

a)4 b)5 c)6 d)7

Sol: 2n

=> n=0,1,2,3,4 < 25

(32)

Since given 31p,

2n

results in 1,2,4,8,16

Through any combination of 1,2,4,8,16 we can acquire any denomination needed at counter.....

So, total 5 combinations

**Pattern 32**

*1. Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?*

**a)8 b)20 c)16 d)15**Sol: go fr options ..

take 20 as peter's present age den pauls age wud be 15(20+15)=35..

also when peter was 15,i.e at the age of paul.(20-15)=5.then pauls age wud be (15-5)=10 and it was double that of peters present

age

.'.optin 2

OR

let pauls age be 'a' and peters be 'e'

e+a=35 (given)

e=35-a ------eq1

when peter was as old as paul that is when peter's age was 'a' i.e e-(e-a) [for example if e was 9 and a was 5, e-a is 4,9-4=5 so e-(e-

a)]

pauls age was a-(e-a) =2a-e

now peters age is e=2(2a-e)

e=4a-2e

3e=4a

3(35-a)=4a

105-3a=4a

a=15

hence e=20

Pattern 33

1. 20 men handshake with each other without repetition. What is the total number of handshakes made?

Pattern 33

1. 20 men handshake with each other without repetition. What is the total number of handshakes made?

**a)190 b)210 c)150 d)250**

**Sol:**

20th man = 19 handshakes

19th man = 18

....1st man = 0

so we get a series from 1 to 19 handshakes where n = 19 a = 1 d =1

So total handshakes = sum of the series = n/2(2a+(n-1)d) = 190

**2.10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.**

**a)45 b)9 c)12 d)10**

**Sol:**

10th

man = 9 handshakes

9th

man = 8

….1st

man =0

So we get a series from 1 to 9 handshakes where n=9 a=1 d=1

So, total handshakes = sum of the series = n/2(2a+(n-1)d) = 45

**Pattern 34**

1. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked there

a)48 b)50 c)52 d)64

**2. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there**

**a)10 b)33 c)22 d)none**

Sol: no of 4 wheelers are 10.i.e. 10*4=40 wheels.

no. of wheels left = 58-40=18

hence no. of 2 wheelers=18/2=9

22 and 33 cant be ans bcz it will make no. of wheels greater than 58

**Pattern 35**

1. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?

a)1app,1cho,1 banana b)1 app,2cho,3 banana c)1app,2cho,1banana

2. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 penny

a)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.

**PATTERN 36**

1) The age of the two friends were in the ration of 6:5.If the sum of their ages is 55.Then after how many years their ratio will become 8:7?

1) The age of the two friends were in the ration of 6:5.If the sum of their ages is 55.Then after how many years their ratio will become 8:7?

**a)11 b)7 c)10 d)12**

Sol: 6x+5x = 55

x = 5

so ages 30 and 25

So after 10 yrs 40 and 35

so ratio is 8:7

**2)The age of the two friends were in the ration of 6:5.If the sum of their ages is 66.Then after how many years their ratio will become 7:6?**

a)11 b)6 c)10 d)12

a)11 b)6 c)10 d)12

Sol: 6x+5x=66

X=6

So ages 36 and 30

So after 6 years 42 and 36

So ratio is 7:6

3) The age of the two friends were in the ration of 2:3.If the sum of their ages is 55.Then after how many years their ratio will become 4:5?

3) The age of the two friends were in the ration of 2:3.If the sum of their ages is 55.Then after how many years their ratio will become 4:5?

**a)11 b)33 c)22 d)44**

Sol: 2x+3x=55

X=11

So ages 22 and 33

So after 22 years 44 and 55

So ratio is 4:5

**PATTERN 37**

1)A volume of 10936 l water is in a container of sphere.How many semi sphere of volume 4l each will be required to transfer all the water into the small semi spheres?

1)A volume of 10936 l water is in a container of sphere.How many semi sphere of volume 4l each will be required to transfer all the water into the small semi spheres?

a)2812 b)8231 c)2734 d)4222

a)2812 b)8231 c)2734 d)4222

Sol: ans = 10936/4 = 2734

**PATTERN 38**

1)A person is manufacturing a house.He bought 20 ropes of wire which has a density of 300 Kg/m3.The height of the building to be constructed is 40 m.If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts.Then what will be the opposing force to the current if the wire is used ?1)A person is manufacturing a house.He bought 20 ropes of wire which has a density of 300 Kg/m3.The height of the building to be constructed is 40 m.If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts.Then what will be the opposing force to the current if the wire is used ?

a)2 b)4 c)8 d)1600a)2 b)4 c)8 d)1600

Sol: by ohms law

v = ir

so r = v/i

so r = 80/20 = 4

**PATTERN 39**

1)A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?

1)A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?

a)46.4 b)51 c)53.4 d)48.6

a)46.4 b)51 c)53.4 d)48.6

Sol: pony = 2 hours + 3 hours= 5 hours.

horse= 3 hours= 3 hours.

3*81=243

243/5=48.6=>average speed of pony.

2) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony?2) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony?

3) : A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony

PATTERN 40

**1)The difference between two no is 9 and the product of the two is 14.What is the square of their sum?**

a)120 b)130 c)137 d)145a)120 b)130 c)137 d)145

Sol: x-y=9

xy=14

(x+y)2-(x-y)2 = 4xy

(x+y)2= 4xy + (x-y)2

(x+y)2= 4*14 + 81

=137

2) The sum of two no is 5 and the product of the two is 14.What is the sum of their squares?

3) The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no?

**PATTERN 41**

1) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

a) 17 b)21.25 c)12.25 d)14.05

**2)On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4* sqrt(t-9) for t ≥ 9 Where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 12mm. How many years back did the solar blast occur**

d=24 = 12*2

now

24=4*sqrt(t-9)

6^2=t-9

36+9=t

t=42

**PATTERN 42**

1)A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?

a)North b)South c)East d)West

PATTERN 43

1)In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a)18 b)19 c)20 d)21

2)In T.Nagar the building were numbered from 1 to 100.Then how many 6’s will be present in the numbers?

a)18 b)19 c)20 d)21

3)In T.Nagar the building were numbered from 1 to 100.Then how many 1’s will be present in the numbers?

a)18 b)19 c)20 d)21

4)In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers?

a)18 b)19 c)20 d)11

PATTERN 44

1)A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?

a)North b)South c)East d)West

PATTERN 43

1)In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a)18 b)19 c)20 d)21

2)In T.Nagar the building were numbered from 1 to 100.Then how many 6’s will be present in the numbers?

a)18 b)19 c)20 d)21

3)In T.Nagar the building were numbered from 1 to 100.Then how many 1’s will be present in the numbers?

a)18 b)19 c)20 d)21

4)In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers?

a)18 b)19 c)20 d)11

PATTERN 44

*1) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D?*

13 b) cannot be determined c) 3 d) 4213 b) cannot be determined c) 3 d) 42

**Sol: suppose the no. is a**

a = Dx +8 ...1

a = 3Dy + 21 ...2

So from 1 & 2 we get

D(x-3y) = 13

13 is prime so x-3y has to be 1

let x = 4 and y = 1

We get a = 60

2a = 120

So 120 when divided by 3D = 39

we get remainder as 3

So answer is 3

a = Dx +8 ...1

a = 3Dy + 21 ...2

So from 1 & 2 we get

D(x-3y) = 13

13 is prime so x-3y has to be 1

let x = 4 and y = 1

We get a = 60

2a = 120

So 120 when divided by 3D = 39

we get remainder as 3

So answer is 3

**PATTERN 45**

1.) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

20.72 b) 5.18 c) 238.25 d) 6.18

1.) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

20.72 b) 5.18 c) 238.25 d) 6.18

**2) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.**

20.72 b) 5.18 c) 238.25 d) 6.18

20.72 b) 5.18 c) 238.25 d) 6.18

**PATTERN 46**

*1) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?*

a) The even numbered statements are true and the odd numbered are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.

d) The first 35 statements are false and the last 35 are false.a) The even numbered statements are true and the odd numbered are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.

d) The first 35 statements are false and the last 35 are false.

Sol: Suppose the first 35 statements are true!

Statement 1: At least 1 statement is false [TRUE]

Statement 2: At least 2 statements are false [TRUE]

...

Statement 35: At least 35 statements are false [TRUE]

--------------------------------------------------------------------

Statement 36: At least 36 statements are false [FALSE]

..

Statement 40: At least 40 statements are false [FALSE]

--------------------------------------------------------------------

AT LEAST puts the minimum tag or the floor tag on the statements

So, if the first 35 statements are true and the rest are false, everything fits into place!

**PATTERN 47**

*1) A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.*

a) 54 b) 27 c) 81 d) 67a) 54 b) 27 c) 81 d) 67

Try representing the statement as a pictoral representation. The 2 Km turns becomes reversed in the second 2 Km turn.

The total distance travelled therefore is 17+37 = 54 Km

**PATTERN 48**

*1) If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?*

a) 3 b) 2 c) 6 d) 1a) 3 b) 2 c) 6 d) 1

Sol: Have 6 mice for testing,

Give each mice contents from 5 cans each

5 5 5 5 5 5

After 14 hours, one of the mice will die

So, we will know which 5 cans must have the poison

Then , take the contents of these 5 cans and give to the remaining 5 mice each.

We will know in due time which can is poisoned.

Give each mice contents from 5 cans each

5 5 5 5 5 5

After 14 hours, one of the mice will die

So, we will know which 5 cans must have the poison

Then , take the contents of these 5 cans and give to the remaining 5 mice each.

We will know in due time which can is poisoned.

**PATTERN 49**

1) If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?1) If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?

A) 13.34 b) 15.73 c) 16.73 d) 9.45A) 13.34 b) 15.73 c) 16.73 d) 9.45

sso b in 35 lts = 40/89 * 35

which is 15.73

**PATTERN 50**

*1) If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find that number??*

A) 13 b) 12 c) 14 d) 11A) 13 b) 12 c) 14 d) 11

Sol: Let number be x

then x - y = x/y + 4

=> xy - y^2 = x + 4

now we need options to solve , one pair can be x = 12 and y = 6

options are incorrect

then x - y = x/y + 4

=> xy - y^2 = x + 4

now we need options to solve , one pair can be x = 12 and y = 6

options are incorrect

**PATTERN 51**

*1) It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?*

a) 15 b) 17 c) 14 d) 16a) 15 b) 17 c) 14 d) 16

this is the series

**PATTERN 52**

*1) It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?*

A) 2 b) 3 c) 48 d) 25A) 2 b) 3 c) 48 d) 25

Sol: 3 socks are only reqd to get socks of the same color

2) Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat&gloves.14red, 20blue, 18green r there. Find probability that any selected glove pair has same color.

3).A lady had fine gloves and hats. 25 blue, 7 red and 9grey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select?

**PATTERN 53**

1) If the Valentine’s Day in 2005 falls on Monday, then on which day will the Valentine’s Day fall on 2010?

1) If the Valentine’s Day in 2005 falls on Monday, then on which day will the Valentine’s Day fall on 2010?

A) Saturday b) Thursday c) Wednesday d) Sunday

A) Saturday b) Thursday c) Wednesday d) Sunday

Sol: 14/2/2005 is a Monday

So, from 1/1/2005, days till 14/2/2005 = 31 + 14 = 45

45 mod 7 = 3

Let us say

Saturday = 1

Sunday = 2

Monday = 3

Tuesday = 4

..

Friday = 7

Now, 14/2/2010 is 365*5(1/1/2005 to 31/12/2009) + 1(as 2008 is a leap year) + 31(jan 2010)+14(feb 2010) = 1871 days from

1/1/2005

1871 mod 7 = 2

So, if 3 = Monday, 2 = Sunday

So, 14/2/2010 is a Sunday!

**PATTERN 54**

*1. A person run from A to B.He took ¼ of the time less to reach B when compare to run at normal Speed.Then how many percentage he has increased his speed?*

a)40 b)44.4 c)33.3 d)22.2a)40 b)44.4 c)33.3 d)22.2

Sol: We proceed as follows

d=s*t

when t1=(3/4)t

then

d=s1'*t1

s*t=s'1*(3/4)t

then

s1/s=4/3

Therefore increase in speed=s1/s-1=1/3or100/3 %=33.33%

So answer is option 3

**2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?**

a)40 b)44.4 c)33.3 d)22.2a)40 b)44.4 c)33.3 d)22.2

Sol: let he takes time t at speed s

now new time is 3/4t , so speed will become 4/3s

so speed is 1.33s , that is speed increases by 33.3%

hence option 3

**PATTERN 55**

1. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m.If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?

1. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m.If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?

a)320 b)380 c)340 d)300

a)320 b)380 c)340 d)300

Sol: 340 bricks for 1 room considering height of brick as 1 as it is not given

As 17 bricks for 1 sq m

So l*b for room = 5*4 = 20 sq m

So bricks = 20*17= 340

**PATTERN 56**

*1. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?*

a)21,500 b)30,000 c)21,000 d)20,000a)21,500 b)30,000 c)21,000 d)20,000

Sol: total area = 20 * 30 =600

so bricks reqd = 600 * 35 = 21000

**PATTERN 57**

1. In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choose the four varities with two from hotel as must.Find how many ways one can order.

a)14 b)15 c)56 d)281. In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choose the four varities with two from hotel as must.Find how many ways one can order.

a)14 b)15 c)56 d)28

Sol: we have to choose 2 out of 6

so answer = 6C 2 =15

**PATTERN 58**

*1. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more.Now the tank is full then how much time will it take to empty the tank throught the leak.?*

a)78 b)56 c)66 d)59a)78 b)56 c)66 d)59

((1/6)-(1/x)=1/6.5

so,1/x=1/78

x=78

**PATTERN 59**

*1.The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?*

a)P=1/3+1/5*3 b)P=1/5*(1/8-3)a)P=1/3+1/5*3 b)P=1/5*(1/8-3)

Sol: First option is correct as , prob to die is 1/3 and surviving is remaining which is 1/5 *3 as it becomes 3 times

hence option 1

**2. There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability**

A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)

Sol: probability of die is 1/3

or

its get tripled

the probability of tripled is 2/3*p*p*p

thats 2/3*p^3

so both the probability combined as P=1/3+(2/3*p^3)

**PATTERN 60**

1. There was a grand mother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days as her own age in years.The sum of the three is 130.then how old is the child.?

Sol: as per ur logic ,

the baby is 127 days old...

her mother 2 years old...

and tat old lady is 127 years old..

**PATTERN 61**

*1) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?*

a)18 b)19 c)20 d)21'a)18 b)19 c)20 d)21'

10 in 10s place

so answer is 20

2) In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

**PATTERN 62**

1)Amrith told to Anand in front of a Photo that “He is the son of my father’s son”.Find who is in the picture if amrith have no brothers and sisters.

a)Amrith himself b)Amrith’s Uncle c)Amrith’s Father d)Amrith’s son

2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?

**PATTERN 63**

*1) One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?*

a)18 b)22 c)30 d)10.a)18 b)22 c)30 d)10.

Sol: let say, a,b, & c are the children, where a is eldest.

a=3C.......(1)

b+c+2=a...........(2)

jst check all the options which are dividable by 3. (18 & 30)

a=18 => c=6

put this value in (2) => b=10. which is not satisfied the condition (two of the age difference is 3).

if we take a=30, then we get c=10 & b=18. which also not satisfied the condition.

so i think there is a problem with que. or in my understanding.

please help if there is any mistake in my calculations.

**2) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?**Sol: consider that the grand child are x,y,z

then based on the conditions we have,

'two of their age difference is 3'

this leads to 3 possibilities

x-y=3

y-z=3

x-z=3

but only one will be correct

'eldest child age is 3 times youngest child's age'

x=3z

'eldest child's age is two times of sum of other two children'

x=y+z+2

but since x=3z, x-z=3 is not feasible

and again x-y=3 is also not feasible..

so we got,

y-z=3

x=3z

x=y+z+2

we got three equations, 3 unknowns..

this lead to one possibility..

x=15

y=8

z=5

we got three equations, 3 unknowns..

this lead to one possibility..

x=15

y=8

z=5

3) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

**PATTERN 64**

1) In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?

a)76.251 b)80.25 c)74.265 d)74.625

**PATTERN 65**

*1) 3 persons a,b,c were there A always says truth,B lies on Monday,tuesday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”. then which day was that?*

a)Sunday b)Thursday c)Saturday d)Tuesdaya)Sunday b)Thursday c)Saturday d)Tuesday

Sol: If today is Monday, Yesterday was Sunday. Now B should lie on monday so Sunday was NOT one of the days he lies on...Correct.

And C shouldn't lie on monday so sunday was one of the days he lies on....Incorrect. So it's not Monday.

If today is Tuesday, Yesterday was Monday. Now B should lie on Tuesday so Monday was NOT one of the days he lies on...Incorrect. So it's not Tuesday.

If today is Weds, Yesterday was Tue. Now B should lie on Weds so Tues was NOT one of the days he lies on...Incorrect. So it's not Weds.

If today is Thurs, yesterday was Weds. Now B should NOT lie on Thurs so Weds was one of the days he lies on....Correct. And C should lie on Thurs so Weds was NOT one of the days he lies on...Correct. So It's THURSDAY.

If today is Fri, yesterday was Thurs. Now B should NOT lie on Fri so Thursday was one of the days he lies on...Incorrect. So It's Not Friday

And C shouldn't lie on monday so sunday was one of the days he lies on....Incorrect. So it's not Monday.

If today is Tuesday, Yesterday was Monday. Now B should lie on Tuesday so Monday was NOT one of the days he lies on...Incorrect. So it's not Tuesday.

If today is Weds, Yesterday was Tue. Now B should lie on Weds so Tues was NOT one of the days he lies on...Incorrect. So it's not Weds.

If today is Thurs, yesterday was Weds. Now B should NOT lie on Thurs so Weds was one of the days he lies on....Correct. And C should lie on Thurs so Weds was NOT one of the days he lies on...Correct. So It's THURSDAY.

If today is Fri, yesterday was Thurs. Now B should NOT lie on Fri so Thursday was one of the days he lies on...Incorrect. So It's Not Friday

Saturday.

If today is Sun, yesterday was Sat. Now B should NOT lie on Sun so Sat was one of the days he lies on...Incorrect. So it's NOT Sunday.

Answer: It was on a Thursday

**PATTERN 66**

1) Which is the smallest no which divides 2880 and gives a perfect square?

a)4 b)9 c)3 d)5

**PATTERN 67**

1) How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?

a)57 b)56 c)59 d)58

2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

5) How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4. Repetitions allowed.

*PATTERN 68*

*1) Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now?*

a) There is less coffee in the first tumbler than water in the second tumblers

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumbler

d)None of the statements holds truea) There is less coffee in the first tumbler than water in the second tumblers

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumbler

d)None of the statements holds true

Sol: Consider 100 mls volume of cup

First 100 mls of ink goes in cola

total mixture in 2nd cup 1100 mls where 100 ink so ink concentration is 1/11

Now in 100 mls of mixture 1/11 * 100 mls is ink and 10/11 * 100 mls is cola

10/11 * 100 mls of ink is left in cola cup whereas we see 10/11 * 100 cola goin in ink cup

So same amount in both cups

2) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

**PATTERN 69**

1) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?1) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?

a) 8 b)All are equally likely c)9 d)10a) 8 b)All are equally likely c)9 d)10

Sol: 8 will have higher probability as

for 8

(2,6) (6,2) (3,5) (5,3) and (4,4)

which is greater than 9 or 10

so answer is 8

**PATTERN 70**

69) Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

a) 3 b)5 c)2 d)869) Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

a) 3 b)5 c)2 d)8

Arrange points in a circle..so answer is 5

**A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments . To identify the mice, the lab has prepared labels with numbers 1 to 100 , by combining tags numbered 0 to 9. The SPCA requires that the tags be made of toxin-free material and that the temperature of the cages be maintained at 27 degree Celsius. Also , not more than 2 mice can be caged together and each cage must be at least 2 sq.ft in area. The 5 experiments to be conducted by lab are to be thoroughly documented and performed only after a round of approval by authorities. The approval procedure takes around 48 hours. How many times is the tag numbered '4' used by the lab in numbering these mice?**

a) 9

b)19

c) 20

d) 21

**There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?**

a) 26 hrs

b) 25 hrs

c) 5 hrs

d) 27 hrs

**Q17) Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now?**

a) There is less coffee in the first tumbler than water in the second tumbler.

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumbler

d) None of the statements holds true.

**Francois Pachet , a researcher at Sony Computer Science laboratories is also a jazz musician. He decided to build a robot able to improvise like a pro. Named Continuator, the robot can duet with a live musician in real- time. It listens to a musical phrase and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between materials , labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of the robot is**

a) $270

b) $324

c) $216

d) $ 648

**A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each colour?**

a) 50

b) 8

c) 60

d) 42

**A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?**

a) 4 mph

b) 5 mph

c) 2.4 mph

d) 4.8 mph

**Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up . The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?**

a) $27

b) $ 18

c) $45

d) $ 486

**Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true?**

A. The points in P lie on a circle.

B. The distance between any pair of points in P is larger than the distance between X and a point in P

a) A and B

b) Neither A nor B

c) B only

d) A only

**In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV) cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.?**

a) 11

b) 6

c) 10

d) 5

**Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?**

a) 114

b) 135

c) 21

d) 71

**Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent**

to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true ?

to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true ?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

**The questions are like.**.

**Q.1.**The ticket for a journey is in the range of 1 to 63 paise. You have 63 paise in your pocket and so on. and the question is You have to change the money into coins and all denominations are available at final. You have to buy the ticket and you should have at least one coin? (not same figures)

**Ans.**64 (Just add 1 to highest i.e. 63+1)

**Q.2.**The sum of two numbers is given and product is also given find the square of difference of two numbers..

**Ans.**(a-b)2=a2+b2+2ab..

**Q.3.**The dog and here are running, dog crosses the roads, rivers and different. Here start running after 2 hours of dog running, dog runs 30kmph in 6 hours then what is the average speed of here?

(values are not same)

**Ans.**30*6/4

**Q.4.**In a restaurant there are different nine flavours of pizzas.....

**Q.5.**A length of rod is turned into triangle. The sides of a triangle are 12,16,10. if this rod is turned into square then find the area of the square?

**Ans.**rod length=12+16+10=38

length of the side is a square=38/4;

area=(38/4)*(38/4)

**Q.6.**There are some chocolates. A woman can eat 3chocolates and a man can eat 1 chocolate and a child can eat half chocolate. then 20 chocolates is divided in...

**Ans.**Go through the options( 5Woman, 3man, 4children).

**Q.7.**A water tank is filled in the way as 256,128,64,... th parts in every hour, then in how many hours the tank will filled?

**Ans.**256,128,64,32,16,8,4,2,1 ( 9 hours) values are not same..

**Q.8.**The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Sayam?

**Ans.**12years (names and values may change)

It was very easy exam as compared with other company written exams. Test contains 35 questions, only from quantitative, in 60 minutes. You can get through if you prepared with previous papers and having a little presence of mind. Questions which I got in exam are.

**Q.1.**The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Sayam?

**Ans.**12years (names and values may change)

**Q.2.**There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? (1 of )?

**Ans.**1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

**Q.3.**Find (4x+2y)/ (4x-2y) if x/2y=2

**Q.4.**Find average speed if a man travels at speed of 14kmph up and 26kmph down at an altitude of 200m. Formula is 2xy/ (x+y)

**Q.5.**In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles are there?

**Ans.**15

**Q.6.**Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 4 flavors from 16 flavors. In how many ways we can select?

**Ans.**16C4

**Q.7.**3, 15, x, 51, 53,159,161. Find X

**Ans.**17

**Q.8.**3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A B C AB BC AC ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?

**Ans.**4(155)/7=31

**Q.9.**The cost of making robot is divided into cost of material, cost of repairing and cost of painting in the ratio of 5:2:3. The cost used for material is 200. Find the total cost of making the robot?

**Ans.**400 (just calculate it).

**Q.10.**(There was a long story, I'll cut short it) There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other but that's not needed for the question.) All of the following combinations are possible to make a perfume except:

1. Balsamic and Lilac

2. Woody and Lemon

3. MI mosaic and Woody

4. MI mosaic and Lilac

**Q.11.**A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value)What will be the area of the square made from the same rope?

**Ans.**( (A+B+C)/4)2

**Q.12.**What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

**Ans.**sqrt ((d/a) 2+ (d/c) 2)

**Q.13.**A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:

**Ans.**white

**Q.14.**Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filled

**Ans.**21

**Q.15.**There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?

(a) 2

(b) 2!

(c) 2048

(d) 1024

**Q.16.**A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?

**Ans.**is 2(141) =242

**Q.17.**Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

**Ans.**is 15 pounds

**Q.18.**There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?

(a) Linda is shorter among them

(b) Chelsea is taller than Julia

(c) Chelsea is shorter than Julia

(d) Cannot determine who is taller among Chelsea and Julia

**Ans.**(d)

**Q.19.**In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?

**Ans.**is 4 boys and 3 girls

**Q.20.**There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves. How many draws are required to obtain a pair of each color.

**Q.21.**There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?

(a) If no. is odd it is head, if no. is even it is tail

(b) If no. is odd it is tail, if no. is even it is head

(c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

I didn’t remembered last option and I don’t know answer.

**Q.22.**2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?

I didn’t remember the exact values of x and y. You can solve easily.

**Q.23.**Ram buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

**Ans.**is 23(cost price + change given).

**Q.24.**Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

**Ans.**is (z-1) (y-x) +x.

**Q.25.**A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round

**Ans.**is 28.

**Q.26.**There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?

**Ans.**is B or C

**Q.27.**49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

**Ans**. is 12C2

**Q.28.**Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?

(a) 22

(b) 31

(c) 6

(d) 32

**Ans.**is 6

**Q.29.**There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?

**Ans.**is 20

**Q.30.**A lady took out jacket and gloves, which are available in blue 16, yellow 40 and red 36. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibility their she will pick up pair of gloves of each color.

**Ans.**very easy..

**Q.31.**Two bowls are taken, one contains water and another contains tea. One spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

**Ans.**second liquid in first bowl is smaller than the first mixture in second bowl)

**Q.32.**Rearrange and categorize the word ‘IGTRE’?

**Ans.**Animal (TIGER)

**Q.33.**A lies on Monday, Tuesday, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied today and B said I too lied today. What is the day?

**Q.34.**One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

**Ans.**18

I attempted 28 questions exactly. Result was declared after two hours and my name was among the successful guys. Then they asked us to come on 4th Sept at 1:30 PM as it was getting late that day.

**Ramu & sangeetha went for biological analysis to a island which is 34km from their place. They travelled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat sangeetha note there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 leged octopuses are there under the water. They both reached the island after 20 min they left . How many seven leged octopuses does sangeetha calculate?**

1. 4

2. 5

3. 6

4. 7

Ans : Total number of legs of both 7 & 8 leged octobus = 54. Find number of 7 leged octopuses

__Go from answer__

4(7 leged octobus) + X = 54.

5(7 leged octobus) + X = 54. Similarly do for all. The x you get should be exactly divisible by 8. Only one answer will satisfy the condition.

**Note :**you may find lot of nonsense stuff to test verbal ability. Just take required data alone. From the next question onwards I post necessary data only.

**Total number of wheels of bicycles & 4 wheeled vechicles is 38. How many bicycles are there? ( This question has more than 6 lines to test your verbal abilty)**

Ans: similar to above. Go from answer

Choices from answer( 2 wheelers) + X = 38. X should be exactly divisible by 4

**Jumbled sentences given APPRAKEET. What is the meaning.**

PARAKEET

Ans – Bird

**Logical problem asking for the colour of beer**

Ans : White

**There are 14 spots. Each spot has 8 seats. 28 people seated in all the spots. No similar number people sat in any spot. How many spots left with no people at all**

Ans : 1+2+3+4+5+6+7 = 28. So remaning 7 spots has no people at all

**Can A has milk. Can b had water. A spoon of milk from can A is added to Can B. Then from the mixture same amount is taken from Can B and added to Can A.**

Ans : Can A contains less item than item in Can B

**There is a plane contains 32 points. All the 32 points have equal distance from point x.**

Which of the following is true

A:All the 32 points lie in circle.

B:The distance from x to all 32 points is less then the distance between each other

Ans : A only

**Horse ran at speed of 34kmph. Pony started after 2 hours. Horse ran for 4 hours. What is the speed of pony?**

Ans: (34*4)/(4+2)

**A clock gives 4 ticks consequetively. After days it has become defective & gives only 2 ticks. What is the probability that clock produces 3 ticks consequetively. 1 out of ?**

Ans : 1/8

**A person points to a photo and says the main in the picture is the son of my fathers son. What is the relationship between him & person in the photo?**

Ans : hehimself

**There is a cloth of 153 yards length. X has to cut the cloth into 153 pieces. He takes 5 seconds to cut each piece how much time he require to cut all 153 pieces?**

Ans: 152*5

**Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. it has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old MERCEDES wich gave him 35 kmph if Mohan travelled 490 km in his ferrari the hw much time(hours) he took??**

Ans : 490/35*3

**Jagan lies on Monday Tuesday Wednesday**

Pradeep lies on Wednesday Thursday Saturday.

Jagan says I didn’t lie yesterday. Pradeep also says that I didn’t lie yesterday. What day is today?

Ans : Sunday

Pradeep lies on Wednesday Thursday Saturday.

Jagan says I didn’t lie yesterday. Pradeep also says that I didn’t lie yesterday. What day is today?

**The ratio of current age of X and Y is 5:7. After how many years their age becomes 7:9?**

Ans : Simple ratio

**by using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??**

Ans : 2500 (not sure)

**XY=21 and X+Y=13.ans of X & Y will b in points..den x square+y square=??**

Ans : Solve using quadratic eqn. you get x & y

**Person travels from A- to b in 9km/hr, and B to A in 4 Km/hr. What is the average speed?**

Ans : 2(9*4)/9+4

**Find total cost to build a robot. The cost of spare parts use to bulid it is in the ratio 4:5:3.**

The cost of spare parts are $40, $50, $60.

Ans : simple ratio. I don’t remember the question exactly but all you do is to add $40+$50+$60 to get the answer

The cost of spare parts are $40, $50, $60.

**Pizza shops make pizza of same thickess and diff diamester. Cost of 8cm is 80, 12 cm is 240, 24 cm is 720. Which pizza gives best value for money?**

Ans : Divide cost by cm & compare with others. Hint. Take smallest one and multiple till you get the largest pizza. Then compare both you get the answer

**Avg marks of 5 sub is 61. Six sub mark is 89. What is the average after adding 6th?**

Ans : (61*5) + 89/6

**Find number of 3’s between 1 & 100?**

Ans : 19

**A pipe can fill a tank at the rate 1 litre/hr, the tank is 1/32 filled in 6 hours. After how many hows the tank is filled completely**

Ans - 1/16, 1/8, ¼, ½, 1. After 5 hours.

**. The three sides of a triangle are given.18, 18 ,28 cms and this traingle is conveted into a square .so what will be the area of the square generated?**

Sol:- (17+18=28)/4..then you will get the 1 side of a square .. and now find the area of a square.ie ,side^2

**2. An equation of the form 7x+17y+ 3z=54. findthe difference between x intercept and z intercept?**

Hint :- :x/a+y/b+z/c=1

Solution:- convert the above equation to dis form. and see the difference between a and c then you ll get the ans.

**3. V=IR aplly dis equation ..**

4. some age problems with ratio.

5. permutation problems..not remebering xactly..but it was almost like ..there are n people siiting ..find the number of handshakes but no circle handshakes.

6.there are 12 children in a family .the youngest 1 is a boy.then find the probabality of finding boy in the family.

a)4096

4. some age problems with ratio.

5. permutation problems..not remebering xactly..but it was almost like ..there are n people siiting ..find the number of handshakes but no circle handshakes.

6.there are 12 children in a family .the youngest 1 is a boy.then find the probabality of finding boy in the family.

b)2048

c)2

d) 2!

__Some more problms in probality.__

7. Horse started to chase dog as it relieved stable 2 hrs ago. And horse started to ran with average speed 64km/hr, ( in between so many unwanted stuffs). After traveling 6 hrs,. find the speed of the dog the speed of dog?

first find the distance of
horse by speed and time..64*6=384

then dis distance by the dogs time gives the avg speed of dog ie 384/(6+2)=

8.series problrm...but lengthy..no problem.. can find it easily..series of the type..n*2+1 and n*2+2...majority are mixed sreis.

9.average probelms...(work out average section in rs agrawl quatitatve ...qns from 73 to 76)

10. 2 or 3 age realted ratio problems were dere.

11.Questions from area( jus one) length of a room is 10m and width is 6m .. How many tiles are required to fill the entire patio if 44tiles/sq m?

12.Avg wt of class is (some number)kg ..after adding wt of the teacger avg wt of class becomes some number kg then wat is the wt of the teacher??

13.A pizza shop ,there wer 2 kinds of pizzas avalable... but now they,ve introduces 8 new types...... a person buy two diff type pizzas of new type type....in how many ways he can select ??

Ans: 8 X 7=56

14. some ht problems ..logcal problems..like 1000 pillars nd some ssumption given have to see which staemnt true,? (eventhogh question is lenghty answer is simple so dont skip.)

then dis distance by the dogs time gives the avg speed of dog ie 384/(6+2)=

8.series problrm...but lengthy..no problem.. can find it easily..series of the type..n*2+1 and n*2+2...majority are mixed sreis.

9.average probelms...(work out average section in rs agrawl quatitatve ...qns from 73 to 76)

10. 2 or 3 age realted ratio problems were dere.

11.Questions from area( jus one) length of a room is 10m and width is 6m .. How many tiles are required to fill the entire patio if 44tiles/sq m?

12.Avg wt of class is (some number)kg ..after adding wt of the teacger avg wt of class becomes some number kg then wat is the wt of the teacher??

13.A pizza shop ,there wer 2 kinds of pizzas avalable... but now they,ve introduces 8 new types...... a person buy two diff type pizzas of new type type....in how many ways he can select ??

Ans: 8 X 7=56

14. some ht problems ..logcal problems..like 1000 pillars nd some ssumption given have to see which staemnt true,? (eventhogh question is lenghty answer is simple so dont skip.)

Its really very very useful post thanks a lot for sharing with us...

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