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

Solution:

Let the number be x,

((1/2)*x)=3+(1/6)*x,

Then solve x

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)27

Solution: 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) 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?

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

Solution:

Total age of 6 persons is x hours,after two years total age of 6 persons is x+12

Average age of 6 persons is after two years is 43

So (x+12)/6=43,then solve x,

After 7th person is added then (x+7th person age)/7=45

So we will get 7th person age easily

2. In a market 4 men are standing. The average age of the four befor e 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 befor e 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 r eaders such that in each occupied

reading spot there are different numbers of readers. If in all ther e are 36 readers, how many

reading spots do not have even a single reader?

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

Solution: 23 reading spots, Each reading spot consists of 9 chairs placed around it so There

are some readers such that in each occupied reading spot ther e are diff erent numbers of

readers.

For each table different no of persons are sat,so for first table 1 person is sit,2nd table 2

persons are sit 36

readers means(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15 r eading spots does not

have single reader.

2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there

are differ ent numbers of people seated. How many tables will be left out without at least 1

person?

a) 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 differ ent 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) 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?

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

Solution: Average speed=(2*x*y)/(x+y)

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 wer e made hollow. What is the

minimum number of cubes that she needs to make the block?

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

Solution: I do not know perfectly but I got some solutions from internet I do not know

correctly whether it is tru e or not,((3*9*5))-((3-2)*(9-2)*(5-2)) so answer is 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?

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

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

Solution:a3 -b3 =(a-b)*(a2+a*b+b2) so from this formula we will find (a-b) value

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

Solution: substitute x=4y in above we can find solution

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 differ ent toppings. In how

many ways can she make pizzas with 2 differ ent toppings?

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

Solution: 8c2

2. A pizza shop made pizzas with many flavors. There are 10 different flavor s, 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