Ratio and Proportion Quiz Set 013

Question 1

Two numbers M and N are in ratio 17 : 2. If they are, respectively, increased by 30% and 70%, what will be the new ratio of M : N?

A

\$6{1/2}\$.

B

\$7{1/2}\$.

C

\$5{1/2}\$.

D

\$4{3/4}\$.

Soln.
Ans: a

New M will scale to \$130/100\$ × 17, and N to \$170/100\$ × 2. New ratio is \${130 × 17}/{170 × 2}\$ = \${13/2}\$, which is same as: \$6{1/2}\$.

Question 2

A mixture of milk and water contains 14 parts of milk and 1 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

\${13/28}\$.

B

\$1{14/27}\$.

C

\$2{3/10}\$.

D

\$3{7/30}\$.

Soln.
Ans: a

Let the volume of the mixture be 14 + 1 = 15 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is \$1 - {1x}/15 + x\$. The volume of the milk in the new mixture would be \$14 - {14x}/15.\$ Equating the two volumes and solving for x we get x = \${15 × 13}/{2 × 14}\$. The fraction that must be removed = \$1/15\$ × \${15 × 13}/{2 × 14}\$, which gives \$13/{2 × 14}\$ = \${13/28}\$.

Question 3

Two numbers are in the ratio 2 : 7. If both are decreased by 18, the new ratio becomes 8 : 73. What is the first number?

A

26.

B

30.

C

22.

D

34.

Soln.
Ans: a

Let the numbers be 2x and 7x. We are given \${2x - 18}/{7x - 18} = 8/73\$. Solving, we get x = 13, so first number is 13 × 2 = 26.

Question 4

If a : b is 8 : 5, then what is (8a - 5b) : (9a - 6b)?

A

\${13/14}\$.

B

\$2{1/13}\$.

C

\$2{9/16}\$.

D

\$3{7/16}\$.

Soln.
Ans: a

Simply substitute the values to get (8a - 5b) : (9a - 6b) as (8 × 8 - 5 × 5) : (9 × 8 - 6 × 5) = \$39/42\$ = \${13/14}\$.

Question 5

A 350 liter mixture of milk and water contains 78% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

A

196 liter.

B

197 liter.

C

195 liter.

D

199 liter.

Soln.
Ans: a

The volume of milk will remain same at \${78 × 350}/100\$ = 273 liters. The amount of water at present is 350 - 273 = 77 liters. We need to make the volume of water equal to that of the milk. So we have to add 273 - 77 = 196 liters of water.

This Blog Post/Article "Ratio and Proportion Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer