Ratio and Proportion Quiz Set 013

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Question 1

Two numbers M and N are in ratio 17 : 2. If they are, respectively, increased by 30% and 70%, what will be the new ratio of M : N?

 A

$6{1/2}$.

 B

$7{1/2}$.

 C

$5{1/2}$.

 D

$4{3/4}$.

Soln.
Ans: a

New M will scale to $130/100$ × 17, and N to $170/100$ × 2. New ratio is ${130 × 17}/{170 × 2}$ = ${13/2}$, which is same as: $6{1/2}$.


Question 2

A mixture of milk and water contains 14 parts of milk and 1 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

${13/28}$.

 B

$1{14/27}$.

 C

$2{3/10}$.

 D

$3{7/30}$.

Soln.
Ans: a

Let the volume of the mixture be 14 + 1 = 15 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $1 - {1x}/15 + x$. The volume of the milk in the new mixture would be $14 - {14x}/15.$ Equating the two volumes and solving for x we get x = ${15 × 13}/{2 × 14}$. The fraction that must be removed = $1/15$ × ${15 × 13}/{2 × 14}$, which gives $13/{2 × 14}$ = ${13/28}$.


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

If a : b is 8 : 5, then what is (8a - 5b) : (9a - 6b)?

 A

${13/14}$.

 B

$2{1/13}$.

 C

$2{9/16}$.

 D

$3{7/16}$.

Soln.
Ans: a

Simply substitute the values to get (8a - 5b) : (9a - 6b) as (8 × 8 - 5 × 5) : (9 × 8 - 6 × 5) = $39/42$ = ${13/14}$.


Question 5

A 350 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

196 liter.

 B

197 liter.

 C

195 liter.

 D

199 liter.

Soln.
Ans: a

The volume of milk will remain same at ${78 × 350}/100$ = 273 liters. The amount of water at present is 350 - 273 = 77 liters. We need to make the volume of water equal to that of the milk. So we have to add 273 - 77 = 196 liters of water.


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This Blog Post/Article "Ratio and Proportion Quiz Set 013" 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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