Ratio and Proportion Quiz Set 002

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Question 1

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 900. The phone was installed on June 21. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

 A

Rs. 270.

 B

Rs. 570.

 C

Rs. 1170.

 D

Rs. 870.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 21 = 9 days. The ratio on proportionate basis is $9/30$ × 900 = Rs. 270.


Question 2

A bag contains 25p, 10p and 5p coins in the ratio 8 : 4 : 11. How many 25 paise coins are there if the total amount is Rs. 59?

 A

160.

 B

162.

 C

158.

 D

164.

Soln.
Ans: a

Let the total number of coins be 8x, 4x and 11x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(8/4 + 4/10 + 11/20)$ = 59. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(8 × 5 + 4 × 2 + 11)$ = 59 × 20, which is x × $(40 + 8 + 11)$ = 59 × 20, solving for x we get x = 20, so 25p coins = 20 × 8 = 160.


Question 3

What is the ratio A : B : C if A = $7/9$B and B = $18/17$C?

 A

14 : 18 : 17.

 B

7 : 18 : 17.

 C

9 : 18 : 17.

 D

7 : 17 : 126.

Soln.
Ans: a

We can write B = $9/7$A. Now we can use B as the pivot and write $9/7$A = B = $18/17$C. Divide all three with 9 × 18 to get $A/{7 × 18}$ = $B/{9 × 18}$ = $C/{17 × 9}$. So the required ratio is 126 : 162 : 153. The answer is 14 : 18 : 17.


Question 4

What is x, if 56 : x :: 14 : 13?

 A

52.

 B

56.

 C

48.

 D

60.

Soln.
Ans: a

We have $56/x = 14/13$, which gives x = ${56 × 13}/14$ = 52.


Question 5

If 64, x, x and 81 are in proportion, then what is x?

 A

72.

 B

76.

 C

68.

 D

80.

Soln.
Ans: a

We have 64 : x :: x : 81, so 64 × 81 = x × x, which gives x = 8 × 9 = 72.


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This Blog Post/Article "Ratio and Proportion Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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