# Ratio and Proportion Quiz Set 012

### Question 1

If a : b is 15 : 13, then what is (18a - 9b) : (19a - 2b)?

A

\${153/259}\$.

B

\$1{77/129}\$.

C

\$2{149/261}\$.

D

\$3{49/87}\$.

Soln.
Ans: a

Simply substitute the values to get (18a - 9b) : (19a - 2b) as (18 × 15 - 9 × 13) : (19 × 15 - 2 × 13) = \$153/259\$ = \${153/259}\$.

### Question 2

Two numbers A and B are in ratio 8 : 9. If they are both increased by 10%, what will be the new ratio of A : B?

A

\${8/9}\$.

B

\$2{1/8}\$.

C

\$2{4/11}\$.

D

\$3{2/11}\$.

Soln.
Ans: a

New A will scale to \$110/100\$ × 8, and B to \$110/100\$ × 9. New ratio is \${110 × 8}/{110 × 9}\$ = \${8/9}\$.

### Question 3

If a : b is 16 : 11, then what is (21a - 3b) : (27a - 5b)?

A

\${303/377}\$.

B

\$1{38/47}\$.

C

\$2{299/379}\$.

D

\$3{297/379}\$.

Soln.
Ans: a

Simply substitute the values to get (21a - 3b) : (27a - 5b) as (21 × 16 - 3 × 11) : (27 × 16 - 5 × 11) = \$303/377\$ = \${303/377}\$.

### Question 4

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 5

A mixture of milk and water contains 43 parts of milk and 9 parts of water. How much fraction of the mixture should be removed and replaced by water so that ratio of water and milk becomes equal?

A

\${17/43}\$.

B

\$1{3/7}\$.

C

\$2{13/45}\$.

D

\$3{11/45}\$.

Soln.
Ans: a

Let the volume of the mixture be 43 + 9 = 52 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is \$9 - {9x}/52 + x\$. The volume of the milk in the new mixture would be \$43 - {43x}/52.\$ Equating the two volumes and solving for x we get x = \${52 × 34}/{2 × 43}\$. The fraction that must be removed = \$1/52\$ × \${52 × 34}/{2 × 43}\$, which gives \$34/{2 × 43}\$ = \${17/43}\$. This Blog Post/Article "Ratio and Proportion Quiz Set 012" 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