# Ratio and Proportion Quiz Set 015

### Question 1

The sides of a triangle are in the ratio 3 : 11 : 10, which is the longest side, if the perimeter is 480?

A

220.

B

222.

C

218.

D

224.

Soln.
Ans: a

Let the sides be 3x, 11x and 10x. We have 3x + 11x + 10x = 480, or 24x = 480, which gives x = 20, so the longest side is 11 × x = 11 × 20 = 220.

### Question 2

If a : b is 11 : 2, then what is (23a - 5b) : (6a - 4b)?

A

\$4{11/58}\$.

B

\$5{16/57}\$.

C

\$3{1/12}\$.

D

\$6{19/20}\$.

Soln.
Ans: a

Simply substitute the values to get (23a - 5b) : (6a - 4b) as (23 × 11 - 5 × 2) : (6 × 11 - 4 × 2) = \$243/58\$ = \${243/58}\$, which is same as: \$4{11/58}\$.

### Question 3

Two numbers are in the ratio 2 : 15. If both are increased by 4, the new ratio becomes 34 : 229. What is the first number?

A

30.

B

34.

C

26.

D

38.

Soln.
Ans: a

Let the numbers be 2x and 15x. We are given \${2x + 4}/{15x + 4} = 34/229\$. Solving, we get x = 15, so first number is 15 × 2 = 30.

### Question 4

If 9, x, x and 4 are in proportion, then what is x?

A

6.

B

10.

C

18.

D

14.

Soln.
Ans: a

We have 9 : x :: x : 4, so 9 × 4 = x × x, which gives x = 3 × 2 = 6.

### Question 5

The sides of a triangle are in the ratio 5 : 12 : 9, which is the longest side, if the perimeter is 520?

A

240.

B

242.

C

238.

D

244.

Soln.
Ans: a

Let the sides be 5x, 12x and 9x. We have 5x + 12x + 9x = 520, or 26x = 520, which gives x = 20, so the longest side is 12 × x = 12 × 20 = 240. This Blog Post/Article "Ratio and Proportion Quiz Set 015" 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