Ratio and Proportion Quiz Set 019

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Question 1

Two numbers are in the ratio 18 : 5. If both are increased by 8, the new ratio becomes 19 : 6. What is the first number?

 A

144.

 B

148.

 C

140.

 D

152.

Soln.
Ans: a

Let the numbers be 18x and 5x. We are given ${18x + 8}/{5x + 8} = 19/6$. Solving, we get x = 8, so first number is 8 × 18 = 144.


Question 2

A sum of Rs. 5400 is to be divided among three partners, P, Q and R, in the ratio 13 : 3 : 11. How much does Q get?

 A

Rs. 600.

 B

Rs. 602.

 C

Rs. 598.

 D

Rs. 604.

Soln.
Ans: a

The share of Q is in the ratio like this: $3/{13 + 3 + 11} × 5400$ = Rs. 600.


Question 3

Two numbers are in the ratio 2 : 7. If both are decreased by 18, the new ratio becomes 8 : 73. What is the first number?

 A

26.

 B

30.

 C

22.

 D

34.

Soln.
Ans: a

Let the numbers be 2x and 7x. We are given ${2x - 18}/{7x - 18} = 8/73$. Solving, we get x = 13, so first number is 13 × 2 = 26.


Question 4

What is x, if 42 : x :: 3 : 2?

 A

28.

 B

32.

 C

24.

 D

36.

Soln.
Ans: a

We have $42/x = 3/2$, which gives x = ${42 × 2}/3$ = 28.


Question 5

The ratio of shares of three friends in Rs. 2700 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

 A

Rs. 900.

 B

Rs. 904.

 C

Rs. 896.

 D

Rs. 908.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 2700 = $a/{3a}$ × 2700 = $2700/3$ = Rs. 900.


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This Blog Post/Article "Ratio and Proportion Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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