Ratio and Proportion Quiz Set 004

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Question 1

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 2

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 600. The phone was installed on June 10. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

 A

Rs. 400.

 B

Rs. 700.

 C

Rs. 1300.

 D

Rs. 1000.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 10 = 20 days. The ratio on proportionate basis is $20/30$ × 600 = Rs. 400.


Question 3

What is x, if 110 : x :: 11 : 9?

 A

90.

 B

94.

 C

86.

 D

98.

Soln.
Ans: a

We have $110/x = 11/9$, which gives x = ${110 × 9}/11$ = 90.


Question 4

If a : b is 11 : 2, then what is (23a - 5b) : (6a - 4b)?

 A

$4{11/58}$.

 B

$5{16/57}$.

 C

$3{1/12}$.

 D

$6{19/20}$.

Soln.
Ans: a

Simply substitute the values to get (23a - 5b) : (6a - 4b) as (23 × 11 - 5 × 2) : (6 × 11 - 4 × 2) = $243/58$ = ${243/58}$, which is same as: $4{11/58}$.


Question 5

The ratio of shares of three friends in Rs. 2700 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

 A

Rs. 900.

 B

Rs. 904.

 C

Rs. 896.

 D

Rs. 908.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 2700 = $a/{3a}$ × 2700 = $2700/3$ = Rs. 900.


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This Blog Post/Article "Ratio and Proportion Quiz Set 004" 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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