Ratio and Proportion Quiz Set 016

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Question 1

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 2

If 40% of a number is equal to 4/7 of another number, then what is the ratio of first number to second number?

 A

$1{3/7}$.

 B

$2{5/6}$.

 C

${1/3}$.

 D

$3{4/9}$.

Soln.
Ans: a

We have ${40A}/100 = {4B}/7$, which can be re-arranged to $A/{4 × 100} = B/{40 × 7}$, so the required ratio is (4 × 100) : (40 × 7), which is 10 : 7. So the answer is ${10/7}$, which is same as: $1{3/7}$.


Question 3

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 4

The ratio of shares of three friends in Rs. 1200 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

 A

Rs. 400.

 B

Rs. 404.

 C

Rs. 396.

 D

Rs. 408.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 1200 = $a/{3a}$ × 1200 = $1200/3$ = Rs. 400.


Question 5

Two numbers are in the ratio 3 : 2. If both are decreased by 5, the new ratio becomes 52 : 33. What is the first number?

 A

57.

 B

61.

 C

53.

 D

65.

Soln.
Ans: a

Let the numbers be 3x and 2x. We are given ${3x - 5}/{2x - 5} = 52/33$. Solving, we get x = 19, so first number is 19 × 3 = 57.


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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 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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