1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then.

1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by :

B. 144

A. 4

C. 12

D. 2

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Correct answer is 4To make length and width similar they

need to be reduced and increased by 2 cms respectively. The area of original structure is 140 sqcm and that of changed structure is 144 sqcm.

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2. A motorcycle stunts man belonging to a fair, rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes. If the radius of the well is 5 meters then the distance traveled is:

B. 3.5 kms

A. 2.5 kms

C. 4.5 kms

D. 5.5 kms

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Wrong Answer

Correct answer is 4.5 kmsHe travels 54 kms in 60 minutes hence in

5 minutes he will travel (54/60)X5=4.5 kms.

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3. If 1 cm on a map corresponds to an actual distance of 40 kms. And the distance on the map between Bombay and Calcutta is 37.5 cms., the actual distance between them is :

B. 3750 kms

A. 375 kms

C. 1500 kms

D. 7500 kms

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Correct answer is 1500 kms37.5 X 40 = 1500

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4. A box contains 90 mts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is :

B. 10.5 kg

A. 10 kg

C. 11 kg

D. 11.5 kg

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Correct answer is 11.5 kgs35500-(90X100+100X150)=11500 gms

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5. If the radius of a circle is increased by 20% then the area is increased by :

B. 120%

A. 44%

C. 40%

D. 144%

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Wrong Answer

Correct answer is 44%In these types of question always square

up the increased value of the given side to know the result.

(12X12)-(10X10)=44 (assuming original radius to be 10 cms)

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6. Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

B. 36

A. 120

C. 60

D. 24

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Correct answer is 36Total money they had = 100+60+40=200Ratio of expense to Money = 120/200=60Tom’s share= 100X0.6=60Dick’s share = 60X0.6=36Harry’s share = 40X0.6=24

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7. A plot of land is in the shape of a trapezium whose dimensions are given in the figure. Find the perimeter of the field.

B. 64 m

A. 50 m

C. 72 m

D. 84 m

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Length of AC can be calculated as follows:

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F

DF2=132-122=25 Or, DF=5, So, EC=30-9+5=16

BC2=162+122=400 Or, BC=20

Perimeter=13+30+20+9=72 metre

8. Four concentric ( having the same center ) circles with radii, x, 2x, 3x and 4x are drawn to form two rings A and B as shown in the figure. Ratio of the area of inner ring A to the area of outer ring B is

B. 1:4

A. 1:2

C. 2:3

D. 3:7

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Areas of four circles will be in the squared ratio of their radii as follows: 1:4:9:16

Ratio of Area of inner grey ring to that of inner circle = 1:3

Ratio of area of outer grey ring to that of inner circle = 1:7 (16-9=7)

Required ratio = 3:7

9. If 3/p = 6 and 3/q = 15 then p - q = ?

B. 2/5

A. 1/3

C. 3/10

D. 5/6

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Solution:

p=3/6 and q=3/15

So, p-q=3/6-3/15=3/10

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10. A father is three times as old as his son. After fifteen years the father will be twice as old as his son's age at that time. Hence the father's present age is

B. 42

A. 36

C. 45

D. 48

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Solution: Options A, B, and D will result in odd numbers after 15 is

added to them. So calculate on option C.

Father’s current age = 45, So son’s current age = 15

After 15 years father’s age= 60

Son’s age = 30

This combination matches the condition

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11. If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is

B. 11 : 12

A. 10 : 11

C. 12 : 13

D. 13 : 14

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Solution: Subduplicate ratio for 169 and 196 = 13 : 14

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12. A semi-circle is surmounted on the side of a square. The ratio of the area of the semi-circle to the area of the square is

B. 2 : Π

A. 1 : 2

C. Π : 8

D. 8 : Π

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Solution: Area of semi-circle = Πs2/4X2

Area of square = s2

Ratio = Π : 8

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13. Which of the following is the greatest ?

B. 3/5 of 25

A. 40% of 30

C. 6.5% of 200

D. 5 more than the square of 3

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Solution: 40% of 30 = 12

3/5 of 25 = 15

6.5% of 200 = 13

5 more than square of 3 = 14

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14. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ?

B. 30 minutes

A. 20 minutes

C. 45 minutes

D. 60 minutes

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Solution: Both taps take 20 minutes to fill 40% of tank

One tap will take 40 minutes to fill 40% of tank

It will take 60 minutes to fill remaining (60%) of the tank

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15. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ?

B. 30 minutes

A. 20 minutes

C. 45 minutes

D. 60 minutes

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Correct Answer

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Wrong Answer

Solution: Both taps take 20 minutes to fill 40% of tank

One tap will take 40 minutes to fill 40% of tank

It will take 60 minutes to fill remaining (60%) of the tank

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16. If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of the decrease?

B. 8

A. 4

C. 12

D. 16

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Solution: (4/25)X100=16%

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17. If a building b feet high casts a shadow f feet long, then, at the same time of day, a tree t feet high will cast a shadow how many feet long?

B. fb/t

A. ft/b

C. b/ft

D. tb/f

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Solution: As b feet casts a shadow of f feet

So, 1 ft will cast a shadow of f/b feet

So, t feet will cast a shadow of ft/b

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18. If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer?

B. (x-y)(y-z)

A. xyz

C. x-yz

D. x(y+z)

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Solution:

Solve by assuming values for x, y and z

-1, -2 and -3 or any value

(-1+2)(-2+3)=1X1=1

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19. At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?

B. 16

A. 12

C. 20

D. 24

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Wrong Answer

Solution:

There can be 10 combinations for one type of cone

ABC, ABD, ABE, ACD, ACE, ADE

BCD, BCE, BDE

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20. What is the greatest value of a positive integer n such that 3n is a factor of 1815?

B. 18

A. 15

C. 30

D. 33

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Wrong Answer

Solution:

Only option A has 5 as one of its factors so check with this option

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