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Ten years ago, the ages of Adam and Parker were in the ratio 6: 7. After six years, Adam’s age would be 9.09% less than Parker’s age. What would be age of Parker after 9 years?

A.

45 years

B.

36 years

C.

47 years

D.

50 years

Answer with explanation

Answer: Option CExplanation

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A mixture contains alcohol and water in the ratio of 7 : 5. If 8 liters of water is added to the mixture, then the ratio becomes 7 : 9. Find the quantity of alcohol in the given mixture?

A.

12 liters

B.

13 liters

C.

15 liters

D.

14 liters

Answer with explanation

Answer: Option DExplanation

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A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.

A.

10 Liters

B.

12 Liters

C.

13 Liters

D.

20 Liters

Answer with explanation

Answer: Option AExplanation

Let the quantity of alcohol and water be 4x liters and 3x liters respectively.

Then,

(4x)/(3x+5) = 4/5

=> 20x = 4(3x+5)

=> x = 2.5

Quantity of alcohol = (4 * 2.5) liters = 10 liters.

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** A sum of Rs. 53 is divided among A, B, C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their shares is :**

A.

25:18:10

B.

24:10:15

C.

30:25:10

D.

25:12:18

Answer with explanation

Answer: Option AExplanation

Suppose C gets Rs. x. Then, B gets Rs.(x+8) and A gets Rs.(x+15).

Then, x+(x+8) +(x+15) = 53 ↔ x=10.

∴ A : B : C = (10+15): (10+8):10=25:18:10.

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If a 60 ml of water contains 12% of chlorine, how much water must be added in order to create a 8% chlorine solution?

A.

40ml of water

B.

50ml of water

C.

30ml of water

D.

35ml of water

Answer with explanation

Answer: Option CExplanation

Let x ml of chlorine be present in water.

Then, 12/100 = x/60 → x = 7.2 ml

Therefore, 7.2 ml is present in 60 ml of water.

In order for this 7.2 ml to constitute 8% of the solution, we need to add extra water. Let this be y ml.

Then, 8/100 = 7.2/y → y = 90 ml.

So in order to get an 8% chlorine solution, we need to add 90-60 = 30 ml of water.

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Find the third proportional between 16 and 20.

A.

24

B.

25

C.

28

D.

30

Answer with explanation

Answer: Option BExplanation

Let the third proportional of 16 and 20 be x.

Then 16, 20, x are in proportion.

This means 16 : 20 = 20 : x

So, 16 × x = 20 × 20

x = (20 × 20)/16 = 25

Therefore, the third proportional of 16 and 20 is 25.

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A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?

A.

12

B.

15

C.

18

D.

20

Answer with explanation

Answer: Option CExplanation

A:B = 2:3

B:C = 2:5

A:B:C = 4:6:15

6/25 * 75 = 18

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Pencils, Pens and Exercise books in a shop are in the ratio of 10: 2 : 3. If there are 120 pencils, the number of exercise books in the shop is:

A.

25

B.

27

C.

30

D.

36

Answer with explanation

Answer: Option DExplanation

Let Pencils = 10x, Pens = 2x & Exercise books = 3x.

Now,

10x = 120 hence x = 12.

Number of exercise books = 3x = 36.

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