Ratio and Proportion Quiz Set 006

Question 1

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 2

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 3

A sum of Rs. 5100 is to be divided among three partners, P, Q and R, in the ratio 5 : 2 : 10. What is the difference between the shares of P and Q?

A

Rs. 900.

B

Rs. 902.

C

Rs. 898.

D

Rs. 904.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: \${5 - 2}/{5 + 2 + 10} × 5100\$ = Rs. 900.

Question 4

What is the value of the first part if 142 is divided in the ratio \$7/2\$ : \$6/7\$ : \$5/7\$?

A

98.

B

102.

C

94.

D

106.

Soln.
Ans: a

We have \$7/2\$ : \$6/7\$ : \$5/7\$. Now 14 is the LCM of 2, 7 and 7, so the ratios become \$7/2 × 14\$ : \$6/7 × 14\$ : \$5/7 × 14\$, which are same as 49 : 12 : 10. The value of the first item is \$49/{49 + 12 + 10}\$ × 142 = 98.

Question 5

Two numbers are in the ratio 19 : 9. If both are increased by 18, the new ratio becomes 52 : 27. What is the first number?

A

190.

B

194.

C

186.

D

198.

Soln.
Ans: a

Let the numbers be 19x and 9x. We are given \${19x + 18}/{9x + 18} = 52/27\$. Solving, we get x = 10, so first number is 10 × 19 = 190.