Ratio and Proportion Quiz Set 005

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Question 1

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.


Question 2

Two numbers are in the ratio 5 : 12. If both are decreased by 49, the new ratio becomes 16 : 107. What is the first number?

 A

65.

 B

69.

 C

61.

 D

73.

Soln.
Ans: a

Let the numbers be 5x and 12x. We are given ${5x - 49}/{12x - 49} = 16/107$. Solving, we get x = 13, so first number is 13 × 5 = 65.


Question 3

A bag contains 25p, 10p and 5p coins in the ratio 12 : 14 : 3. How many 25 paise coins are there if the total amount is Rs. 91?

 A

240.

 B

242.

 C

238.

 D

244.

Soln.
Ans: a

Let the total number of coins be 12x, 14x and 3x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(12/4 + 14/10 + 3/20)$ = 91. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(12 × 5 + 14 × 2 + 3)$ = 91 × 20, which is x × $(60 + 28 + 3)$ = 91 × 20, solving for x we get x = 20, so 25p coins = 20 × 12 = 240.


Question 4

Two numbers are in the ratio 19 : 9. If both are increased by 18, the new ratio becomes 52 : 27. What is the first number?

 A

190.

 B

194.

 C

186.

 D

198.

Soln.
Ans: a

Let the numbers be 19x and 9x. We are given ${19x + 18}/{9x + 18} = 52/27$. Solving, we get x = 10, so first number is 10 × 19 = 190.


Question 5

A 350 liter mixture of milk and water contains 62% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

 A

84 liter.

 B

85 liter.

 C

83 liter.

 D

87 liter.

Soln.
Ans: a

The volume of milk will remain same at ${62 × 350}/100$ = 217 liters. The amount of water at present is 350 - 217 = 133 liters. We need to make the volume of water equal to that of the milk. So we have to add 217 - 133 = 84 liters of water.


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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 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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