Ratio and Proportion Quiz Set 005

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Question 1

A bag contains 25p, 10p and 5p coins in the ratio 11 : 2 : 8. How many 25 paise coins are there if the total amount is Rs. 67?

 A

220.

 B

222.

 C

218.

 D

224.

Soln.
Ans: a

Let the total number of coins be 11x, 2x and 8x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(11/4 + 2/10 + 8/20)$ = 67. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(11 × 5 + 2 × 2 + 8)$ = 67 × 20, which is x × $(55 + 4 + 8)$ = 67 × 20, solving for x we get x = 20, so 25p coins = 20 × 11 = 220.


Question 2

A sum of Rs. 9900 is to be divided among three partners, P, Q and R, in the ratio 6 : 2 : 3. How much does Q get?

 A

Rs. 1800.

 B

Rs. 1802.

 C

Rs. 1798.

 D

Rs. 1804.

Soln.
Ans: a

The share of Q is in the ratio like this: $2/{6 + 2 + 3} × 9900$ = Rs. 1800.


Question 3

The ratio of shares of three friends in Rs. 1200 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

 A

Rs. 400.

 B

Rs. 404.

 C

Rs. 396.

 D

Rs. 408.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 1200 = $a/{3a}$ × 1200 = $1200/3$ = Rs. 400.


Question 4

What is x, if 42 : x :: 3 : 2?

 A

28.

 B

32.

 C

24.

 D

36.

Soln.
Ans: a

We have $42/x = 3/2$, which gives x = ${42 × 2}/3$ = 28.


Question 5

A bag contains 25p, 10p and 5p coins in the ratio 6 : 9 : 11. How many 25 paise coins are there if the total amount is Rs. 59?

 A

120.

 B

122.

 C

118.

 D

124.

Soln.
Ans: a

Let the total number of coins be 6x, 9x and 11x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(6/4 + 9/10 + 11/20)$ = 59. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(6 × 5 + 9 × 2 + 11)$ = 59 × 20, which is x × $(30 + 18 + 11)$ = 59 × 20, solving for x we get x = 20, so 25p coins = 20 × 6 = 120.


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This Blog Post/Article "Ratio and Proportion Quiz Set 005" 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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