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The sum of 5% of a number and 4% of the other number is 2/3 of the sum of 6% of the first number and 8% of the second. The ratio of the first number to the second is

A.

B.

C.

D.

Answer with explanation

Answer: Option CExplanation

Let the first number be x and the second number be y.

Accoroding to the question,

[5% of x + 4% of y] = (2/3)[6% of x + 8% of y]

[(5/100)x + (4/100)y] = (2/3)[(6/100)x + (8/100)y]

(5x + 4y)/100 = (2/3)[(6x + 8y)/100]

15x + 12y = 12x + 16y

15x – 12x = 16y – 12y

3x = 4y

x/y = 4/3

Therefore required ratio = 4 : 3.

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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 of 40 litres of milk and water, contains 20% of water. How much water must be added to the above mixture to make the water 25% of the resultant mixture?

A.

3 liters

B.

2.33 liters

C.

2.67 liters

D.

4 liters

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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There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?

A.

60 men

B.

40 men

C.

25 men

D.

20 men

Answer with explanation

Answer: Option BExplanation

760 —- 22

760 —- 20

x —– 19

x*19 = 760*20

x = 800

760

——-

40

Workspace

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

Workspace

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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