Ratio and Proportion Quiz Set 016

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Question 1

Two numbers A and B are in ratio 8 : 9. If they are both increased by 40%, 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 $140/100$ × 8, and B to $140/100$ × 9. New ratio is ${140 × 8}/{140 × 9}$ = ${8/9}$.


Question 2

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 $34/{2 × 43}$ = ${17/43}$.


Question 3

If $26/45$ of A's amount is $13/15$ of B's amount, and the total amount they have is Rs. 1000, what is the amount with A?

 A

Rs. 600.

 B

Rs. 602.

 C

Rs. 598.

 D

Rs. 604.

Soln.
Ans: a

Let the amounts with them be A and B. So $26/45$A = $13/15$B, which can be re-arranged to get A : B = 3 : 2. So A = $3/5 × 1000$ = Rs. 600.


Question 4

The sides of a triangle are in the ratio 2 : 14 : 13, which is the longest side, if the perimeter is 580?

 A

280.

 B

282.

 C

278.

 D

284.

Soln.
Ans: a

Let the sides be 2x, 14x and 13x. We have 2x + 14x + 13x = 580, or 29x = 580, which gives x = 20, so the longest side is 14 × x = 14 × 20 = 280.


Question 5

If 10% of a number is equal to 4/13 of another number, then what is the ratio of first number to second number?

 A

$3{1/13}$.

 B

$4{5/12}$.

 C

$1{4/5}$.

 D

$5{4/15}$.

Soln.
Ans: a

We have ${10A}/100 = {4B}/13$, which can be re-arranged to $A/{4 × 100} = B/{10 × 13}$, so the required ratio is (4 × 100) : (10 × 13), which is 40 : 13. So the answer is ${40/13}$, which is same as: $3{1/13}$.


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Creative Commons License
This Blog Post/Article "Ratio and Proportion Quiz Set 016" 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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