Ratio and Proportion Quiz Set 020

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Question 1

If X is 70% more than Z, and Y is 50% more than Z, what is the ratio of X to Y?

 A

$1{2/15}$.

 B

$2{2/7}$.

 C

${2/17}$.

 D

$3{11/17}$.

Soln.
Ans: a

Clearly, X = $(100 + 70)/100$ × Z, and Y = $(100 + 50)/100$ × Z, which gives X : Y as $(100 + 70)/(100 + 50)$ = $170/150$ = ${17/15}$, which is same as: $1{2/15}$


Question 2

Two numbers M and N are in ratio 13 : 9. If they are, respectively, increased by 60% and 30%, what will be the new ratio of M : N?

 A

$1{7/9}$.

 B

$3{1/8}$.

 C

${7/11}$.

 D

$3{10/11}$.

Soln.
Ans: a

New M will scale to $160/100$ × 13, and N to $130/100$ × 9. New ratio is ${160 × 13}/{130 × 9}$ = ${16/9}$, which is same as: $1{7/9}$.


Question 3

A mixture of milk and water contains 11 parts of milk and 9 parts of water. How much fraction of the mixture should be removed and replaced by water so that ratio of water and milk becomes equal?

 A

${1/11}$.

 B

$1{1/5}$.

 C

$1{10/13}$.

 D

$2{8/13}$.

Soln.
Ans: a

Let the volume of the mixture be 11 + 9 = 20 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $9 - {9x}/20 + x$. The volume of the milk in the new mixture would be $11 - {11x}/20.$ Equating the two volumes and solving for x we get x = ${20 × 2}/{2 × 11}$. The fraction that must be removed = $1/20$ × ${20 × 2}/{2 × 11}$, which gives $2/{2 × 11}$ = ${1/11}$.


Question 4

What is the ratio A : B : C if A = $7/9$B and B = $18/17$C?

 A

14 : 18 : 17.

 B

7 : 18 : 17.

 C

9 : 18 : 17.

 D

7 : 17 : 126.

Soln.
Ans: a

We can write B = $9/7$A. Now we can use B as the pivot and write $9/7$A = B = $18/17$C. Divide all three with 9 × 18 to get $A/{7 × 18}$ = $B/{9 × 18}$ = $C/{17 × 9}$. So the required ratio is 126 : 162 : 153. The answer is 14 : 18 : 17.


Question 5

A sum of Rs. 16100 is to be divided among three partners, P, Q and R, in the ratio 11 : 9 : 3. What is the difference between the shares of P and Q?

 A

Rs. 1400.

 B

Rs. 1402.

 C

Rs. 1398.

 D

Rs. 1404.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: ${11 - 9}/{11 + 9 + 3} × 16100$ = Rs. 1400.


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This Blog Post/Article "Ratio and Proportion Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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