Ratio and Proportion Quiz Set 012

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

If a : b is 15 : 13, then what is (18a - 9b) : (19a - 2b)?

 A

${153/259}$.

 B

$1{77/129}$.

 C

$2{149/261}$.

 D

$3{49/87}$.

Soln.
Ans: a

Simply substitute the values to get (18a - 9b) : (19a - 2b) as (18 × 15 - 9 × 13) : (19 × 15 - 2 × 13) = $153/259$ = ${153/259}$.


Question 2

Two numbers A and B are in ratio 8 : 9. If they are both increased by 10%, what will be the new ratio of A : B?

 A

${8/9}$.

 B

$2{1/8}$.

 C

$2{4/11}$.

 D

$3{2/11}$.

Soln.
Ans: a

New A will scale to $110/100$ × 8, and B to $110/100$ × 9. New ratio is ${110 × 8}/{110 × 9}$ = ${8/9}$.


Question 3

If a : b is 16 : 11, then what is (21a - 3b) : (27a - 5b)?

 A

${303/377}$.

 B

$1{38/47}$.

 C

$2{299/379}$.

 D

$3{297/379}$.

Soln.
Ans: a

Simply substitute the values to get (21a - 3b) : (27a - 5b) as (21 × 16 - 3 × 11) : (27 × 16 - 5 × 11) = $303/377$ = ${303/377}$.


Question 4

A sum of Rs. 5100 is to be divided among three partners, P, Q and R, in the ratio 5 : 2 : 10. What is the difference between the shares of P and Q?

 A

Rs. 900.

 B

Rs. 902.

 C

Rs. 898.

 D

Rs. 904.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: ${5 - 2}/{5 + 2 + 10} × 5100$ = Rs. 900.


Question 5

A mixture of milk and water contains 43 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

${17/43}$.

 B

$1{3/7}$.

 C

$2{13/45}$.

 D

$3{11/45}$.

Soln.
Ans: a

Let the volume of the mixture be 43 + 9 = 52 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $9 - {9x}/52 + x$. The volume of the milk in the new mixture would be $43 - {43x}/52.$ Equating the two volumes and solving for x we get x = ${52 × 34}/{2 × 43}$. The fraction that must be removed = $1/52$ × ${52 × 34}/{2 × 43}$, which gives $34/{2 × 43}$ = ${17/43}$.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Ratio and Proportion Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement