Ratio and Proportion Quiz Set 018

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Question 1

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.

Solution | Discuss! | Chapters»

Question 2

A sum of Rs. 19500 is to be divided among three partners, P, Q and R, in the ratio 13 : 8 : 18. How much does Q get?

 A

Rs. 4000.

 B

Rs. 4002.

 C

Rs. 3998.

 D

Rs. 4004.

Soln.
Ans: a

The share of Q is in the ratio like this: $8/{13 + 8 + 18} × 19500$ = Rs. 4000.

Solution | Discuss! | Chapters»

Question 3

What is x, if 65 : x :: 5 : 12?

 A

156.

 B

160.

 C

152.

 D

164.

Soln.
Ans: a

We have $65/x = 5/12$, which gives x = ${65 × 12}/5$ = 156.

Solution | Discuss! | Chapters»

Question 4

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 ${140 × 8}/{140 × 9}$ = ${8/9}$.

Solution | Discuss! | Chapters»

Question 5

If 81, x, x and 100 are in proportion, then what is x?

 A

90.

 B

94.

 C

86.

 D

98.

Soln.
Ans: a

We have 81 : x :: x : 100, so 81 × 100 = x × x, which gives x = 9 × 10 = 90.

Solution | Discuss! | Chapters»
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Updated on 2020-02-07. Published on: 2016-05-12

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