Ratio and Proportion Quiz Set 010

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Question 1

What is the value of the first part if 308 is divided in the ratio $7/3$ : $5/3$ : $8/9$?

 A

147.

 B

151.

 C

143.

 D

155.

Soln.
Ans: a

We have $7/3$ : $5/3$ : $8/9$. Now 9 is the LCM of 3, 3 and 9, so the ratios become $7/3 × 9$ : $5/3 × 9$ : $8/9 × 9$, which are same as 21 : 15 : 8. The value of the first item is $21/{21 + 15 + 8}$ × 308 = 147.


Question 2

If 50% of a number is equal to 2/7 of another number, then what is the ratio of first number to second number?

 A

${4/7}$.

 B

$1{5/6}$.

 C

2.

 D

$2{7/9}$.

Soln.
Ans: a

We have ${50A}/100 = {2B}/7$, which can be re-arranged to $A/{2 × 100} = B/{50 × 7}$, so the required ratio is (2 × 100) : (50 × 7), which is 4 : 7. So the answer is ${4/7}$.


Question 3

A sum of Rs. 13000 is to be divided among three partners, P, Q and R, in the ratio 11 : 5 : 10. How much does Q get?

 A

Rs. 2500.

 B

Rs. 2502.

 C

Rs. 2498.

 D

Rs. 2504.

Soln.
Ans: a

The share of Q is in the ratio like this: $5/{11 + 5 + 10} × 13000$ = Rs. 2500.


Question 4

Two numbers A and B are in ratio 2 : 3. If they are both increased by 60%, what will be the new ratio of A : B?

 A

${2/3}$.

 B

$2{1/2}$.

 C

$2{2/3}$.

 D

$2{1/5}$.

Soln.
Ans: a

New A will scale to $160/100$ × 2, and B to $160/100$ × 3. New ratio is ${160 × 2}/{160 × 3}$ = ${2/3}$.


Question 5

What is the value of the first part if 2023 is divided in the ratio $9/5$ : $2/3$ : $2/7$?

 A

1323.

 B

1327.

 C

1319.

 D

1331.

Soln.
Ans: a

We have $9/5$ : $2/3$ : $2/7$. Now 105 is the LCM of 5, 3 and 7, so the ratios become $9/5 × 105$ : $2/3 × 105$ : $2/7 × 105$, which are same as 189 : 70 : 30. The value of the first item is $189/{189 + 70 + 30}$ × 2023 = 1323.


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This Blog Post/Article "Ratio and Proportion Quiz Set 010" 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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