# Ratio and Proportion Quiz Set 008

### 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. This Blog Post/Article "Ratio and Proportion Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-12