# Ratio and Proportion Quiz Set 007

### Question 1

What is x, if 110 : x :: 11 : 9?

A

90.

B

94.

C

86.

D

98.

Soln.
Ans: a

We have \$110/x = 11/9\$, which gives x = \${110 × 9}/11\$ = 90.

### Question 2

The sides of a triangle are in the ratio 3 : 11 : 9, which is the longest side, if the perimeter is 460?

A

220.

B

222.

C

218.

D

224.

Soln.
Ans: a

Let the sides be 3x, 11x and 9x. We have 3x + 11x + 9x = 460, or 23x = 460, which gives x = 20, so the longest side is 11 × x = 11 × 20 = 220.

### Question 3

What is the ratio A : B : C if A = \$7/12\$B and B = \$10/3\$C?

A

35 : 60 : 18.

B

7 : 10 : 3.

C

12 : 10 : 3.

D

7 : 3 : 70.

Soln.
Ans: a

We can write B = \$12/7\$A. Now we can use B as the pivot and write \$12/7\$A = B = \$10/3\$C. Divide all three with 12 × 10 to get \$A/{7 × 10}\$ = \$B/{12 × 10}\$ = \$C/{3 × 12}\$. So the required ratio is 70 : 120 : 36. The answer is 35 : 60 : 18.

### Question 4

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 300. The phone was installed on June 19. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

A

Rs. 110.

B

Rs. 410.

C

Rs. 1010.

D

Rs. 710.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 19 = 11 days. The ratio on proportionate basis is \$11/30\$ × 300 = Rs. 110.

### Question 5

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 600. The phone was installed on June 10. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

A

Rs. 400.

B

Rs. 700.

C

Rs. 1300.

D

Rs. 1000.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 10 = 20 days. The ratio on proportionate basis is \$20/30\$ × 600 = Rs. 400.