Ratio and Proportion Quiz Set 008


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Question 1

Two numbers A and B are in ratio 15 : 11. If they are both increased by 40%, what will be the new ratio of A : B?

 A

$1{4/11}$.

 B

$2{3/5}$.

 C

${4/13}$.

 D

$3{9/13}$.

Soln.
Ans: a

New A will scale to $140/100$ × 15, and B to $140/100$ × 11. New ratio is ${140 × 15}/{140 × 11}$ = ${15/11}$, which is same as: $1{4/11}$.


Question 2

What is the value of the first part if 362 is divided in the ratio $4/3$ : $8/9$ : $9/5$?

 A

120.

 B

124.

 C

116.

 D

128.

Soln.
Ans: a

We have $4/3$ : $8/9$ : $9/5$. Now 45 is the LCM of 3, 9 and 5, so the ratios become $4/3 × 45$ : $8/9 × 45$ : $9/5 × 45$, which are same as 60 : 40 : 81. The value of the first item is $60/{60 + 40 + 81}$ × 362 = 120.


Question 3

What is x, if 15 : x :: 3 : 14?

 A

70.

 B

74.

 C

66.

 D

78.

Soln.
Ans: a

We have $15/x = 3/14$, which gives x = ${15 × 14}/3$ = 70.


Question 4

If 144, x, x and 169 are in proportion, then what is x?

 A

156.

 B

160.

 C

152.

 D

164.

Soln.
Ans: a

We have 144 : x :: x : 169, so 144 × 169 = x × x, which gives x = 12 × 13 = 156.


Question 5

Two numbers are in the ratio 18 : 17. If both are increased by 15, the new ratio becomes 21 : 20. What is the first number?

 A

90.

 B

94.

 C

86.

 D

98.

Soln.
Ans: a

Let the numbers be 18x and 17x. We are given ${18x + 15}/{17x + 15} = 21/20$. Solving, we get x = 5, so first number is 5 × 18 = 90.


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Updated on 2020-02-07. Published on: 2016-05-12

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