Ratio and Proportion Quiz Set 006

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Question 1

A 250 liter mixture of milk and water contains 78% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

 A

140 liter.

 B

141 liter.

 C

139 liter.

 D

143 liter.

Soln.
Ans: a

The volume of milk will remain same at ${78 × 250}/100$ = 195 liters. The amount of water at present is 250 - 195 = 55 liters. We need to make the volume of water equal to that of the milk. So we have to add 195 - 55 = 140 liters of water.


Question 2

What is the ratio A : B : C if A = $6/5$B and B = $15/4$C?

 A

18 : 15 : 4.

 B

6 : 15 : 4.

 C

5 : 15 : 4.

 D

6 : 4 : 90.

Soln.
Ans: a

We can write B = $5/6$A. Now we can use B as the pivot and write $5/6$A = B = $15/4$C. Divide all three with 5 × 15 to get $A/{6 × 15}$ = $B/{5 × 15}$ = $C/{4 × 5}$. So the required ratio is 90 : 75 : 20. The answer is 18 : 15 : 4.


Question 3

The sides of a triangle are in the ratio 4 : 6 : 3, which is the longest side, if the perimeter is 260?

 A

120.

 B

122.

 C

118.

 D

124.

Soln.
Ans: a

Let the sides be 4x, 6x and 3x. We have 4x + 6x + 3x = 260, or 13x = 260, which gives x = 20, so the longest side is 6 × x = 6 × 20 = 120.


Question 4

If X is 40% more than Z, and Y is 30% more than Z, what is the ratio of X to Y?

 A

$1{1/13}$.

 B

$2{1/4}$.

 C

$2{2/3}$.

 D

$3{8/15}$.

Soln.
Ans: a

Clearly, X = $(100 + 40)/100$ × Z, and Y = $(100 + 30)/100$ × Z, which gives X : Y as $(100 + 40)/(100 + 30)$ = $140/130$ = ${14/13}$, which is same as: $1{1/13}$


Question 5

What is the value of the first part if 142 is divided in the ratio $7/2$ : $6/7$ : $5/7$?

 A

98.

 B

102.

 C

94.

 D

106.

Soln.
Ans: a

We have $7/2$ : $6/7$ : $5/7$. Now 14 is the LCM of 2, 7 and 7, so the ratios become $7/2 × 14$ : $6/7 × 14$ : $5/7 × 14$, which are same as 49 : 12 : 10. The value of the first item is $49/{49 + 12 + 10}$ × 142 = 98.


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This Blog Post/Article "Ratio and Proportion Quiz Set 006" 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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