Ratio and Proportion Quiz Set 012

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Question 1

If 50% of a number is equal to 9/13 of another number, then what is the ratio of first number to second number?

 A

$1{5/13}$.

 B

$2{7/12}$.

 C

${1/3}$.

 D

$3{4/5}$.

Soln.
Ans: a

We have ${50A}/100 = {9B}/13$, which can be re-arranged to $A/{9 × 100} = B/{50 × 13}$, so the required ratio is (9 × 100) : (50 × 13), which is 18 : 13. So the answer is ${18/13}$, which is same as: $1{5/13}$.


Question 2

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 3

Two numbers M and N are in ratio 17 : 19. If they are, respectively, increased by 40% and 20%, what will be the new ratio of M : N?

 A

$1{5/114}$.

 B

$2{7/113}$.

 C

${5/116}$.

 D

$3{113/116}$.

Soln.
Ans: a

New M will scale to $140/100$ × 17, and N to $120/100$ × 19. New ratio is ${140 × 17}/{120 × 19}$ = ${119/114}$, which is same as: $1{5/114}$.


Question 4

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 5

A 250 liter mixture of milk and water contains 78% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

 A

140 liter.

 B

141 liter.

 C

139 liter.

 D

143 liter.

Soln.
Ans: a

The volume of milk will remain same at ${78 × 250}/100$ = 195 liters. The amount of water at present is 250 - 195 = 55 liters. We need to make the volume of water equal to that of the milk. So we have to add 195 - 55 = 140 liters of water.


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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 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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