Ratio and Proportion Quiz Set 011


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Question 1

If $26/57$ of A's amount is $13/19$ of B's amount, and the total amount they have is Rs. 3000, what is the amount with A?

 A

Rs. 1800.

 B

Rs. 1802.

 C

Rs. 1798.

 D

Rs. 1804.

Soln.
Ans: a

Let the amounts with them be A and B. So $26/57$A = $13/19$B, which can be re-arranged to get A : B = 3 : 2. So A = $3/5 × 3000$ = Rs. 1800.


Question 2

If X is 70% more than Z, and Y is 10% more than Z, what is the ratio of X to Y?

 A

$1{6/11}$.

 B

$2{4/5}$.

 C

${6/13}$.

 D

$3{11/13}$.

Soln.
Ans: a

Clearly, X = $(100 + 70)/100$ × Z, and Y = $(100 + 10)/100$ × Z, which gives X : Y as $(100 + 70)/(100 + 10)$ = $170/110$ = ${17/11}$, which is same as: $1{6/11}$


Question 3

If 10% of a number is equal to 3/5 of another number, then what is the ratio of first number to second number?

 A

6.

 B

7.

 C

5.

 D

3.

Soln.
Ans: a

We have ${10A}/100 = {3B}/5$, which can be re-arranged to $A/{3 × 100} = B/{10 × 5}$, so the required ratio is (3 × 100) : (10 × 5), which is 6 : 1. So the answer is 6.


Question 4

If 50% of a number is equal to 9/13 of another number, then what is the ratio of first number to second number?

 A

$1{5/13}$.

 B

$2{7/12}$.

 C

${1/3}$.

 D

$3{4/5}$.

Soln.
Ans: a

We have ${50A}/100 = {9B}/13$, which can be re-arranged to $A/{9 × 100} = B/{50 × 13}$, so the required ratio is (9 × 100) : (50 × 13), which is 18 : 13. So the answer is ${18/13}$, which is same as: $1{5/13}$.


Question 5

If 121, x, x and 64 are in proportion, then what is x?

 A

88.

 B

92.

 C

84.

 D

96.

Soln.
Ans: a

We have 121 : x :: x : 64, so 121 × 64 = x × x, which gives x = 11 × 8 = 88.


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This Blog Post/Article "Ratio and Proportion Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-12

Posted by Parveen(Hoven),
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