Ratio and Proportion Quiz Set 001

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Question 1

A sum of Rs. 6600 is to be divided among three partners, P, Q and R, in the ratio 6 : 2 : 3. How much does Q get?

 A

Rs. 1200.

 B

Rs. 1202.

 C

Rs. 1198.

 D

Rs. 1204.

Soln.
Ans: a

The share of Q is in the ratio like this: $2/{6 + 2 + 3} × 6600$ = Rs. 1200.


Question 2

If a : b is 17 : 9, then what is (4a - 3b) : (7a - 8b)?

 A

${41/47}$.

 B

$1{21/23}$.

 C

$2{37/49}$.

 D

$3{5/7}$.

Soln.
Ans: a

Simply substitute the values to get (4a - 3b) : (7a - 8b) as (4 × 17 - 3 × 9) : (7 × 17 - 8 × 9) = $41/47$ = ${41/47}$.


Question 3

Two numbers A and B are in ratio 15 : 11. If they are both increased by 40%, what will be the new ratio of A : B?

 A

$1{4/11}$.

 B

$2{3/5}$.

 C

${4/13}$.

 D

$3{9/13}$.

Soln.
Ans: a

New A will scale to $140/100$ × 15, and B to $140/100$ × 11. New ratio is ${140 × 15}/{140 × 11}$ = ${15/11}$, which is same as: $1{4/11}$.


Question 4

The ratio of shares of three friends in Rs. 2400 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

 A

Rs. 800.

 B

Rs. 804.

 C

Rs. 796.

 D

Rs. 808.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 2400 = $a/{3a}$ × 2400 = $2400/3$ = Rs. 800.


Question 5

If X is 50% more than Z, and Y is 60% more than Z, what is the ratio of X to Y?

 A

${15/16}$.

 B

$2{1/15}$.

 C

$2{11/18}$.

 D

$3{1/2}$.

Soln.
Ans: a

Clearly, X = $(100 + 50)/100$ × Z, and Y = $(100 + 60)/100$ × Z, which gives X : Y as $(100 + 50)/(100 + 60)$ = $150/160$ = ${15/16}$


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This Blog Post/Article "Ratio and Proportion Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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