# Ratio and Proportion Quiz Set 002

### Question 1

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 900. The phone was installed on June 21. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

A

Rs. 270.

B

Rs. 570.

C

Rs. 1170.

D

Rs. 870.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 21 = 9 days. The ratio on proportionate basis is \$9/30\$ × 900 = Rs. 270.

### Question 2

A bag contains 25p, 10p and 5p coins in the ratio 8 : 4 : 11. How many 25 paise coins are there if the total amount is Rs. 59?

A

160.

B

162.

C

158.

D

164.

Soln.
Ans: a

Let the total number of coins be 8x, 4x and 11x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × \$(8/4 + 4/10 + 11/20)\$ = 59. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × \$(8 × 5 + 4 × 2 + 11)\$ = 59 × 20, which is x × \$(40 + 8 + 11)\$ = 59 × 20, solving for x we get x = 20, so 25p coins = 20 × 8 = 160.

### Question 3

What is the ratio A : B : C if A = \$7/9\$B and B = \$18/17\$C?

A

14 : 18 : 17.

B

7 : 18 : 17.

C

9 : 18 : 17.

D

7 : 17 : 126.

Soln.
Ans: a

We can write B = \$9/7\$A. Now we can use B as the pivot and write \$9/7\$A = B = \$18/17\$C. Divide all three with 9 × 18 to get \$A/{7 × 18}\$ = \$B/{9 × 18}\$ = \$C/{17 × 9}\$. So the required ratio is 126 : 162 : 153. The answer is 14 : 18 : 17.

### Question 4

What is x, if 56 : x :: 14 : 13?

A

52.

B

56.

C

48.

D

60.

Soln.
Ans: a

We have \$56/x = 14/13\$, which gives x = \${56 × 13}/14\$ = 52.

### Question 5

If 64, x, x and 81 are in proportion, then what is x?

A

72.

B

76.

C

68.

D

80.

Soln.
Ans: a

We have 64 : x :: x : 81, so 64 × 81 = x × x, which gives x = 8 × 9 = 72.