Ratio and Proportion Quiz Set 004

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Question 1

Two numbers are in the ratio 19 : 16. If both are decreased by 85, the new ratio becomes 29 : 11. What is the first number?

 A

114.

 B

118.

 C

110.

 D

122.

Soln.
Ans: a

Let the numbers be 19x and 16x. We are given ${19x - 85}/{16x - 85} = 29/11$. Solving, we get x = 6, so first number is 6 × 19 = 114.

Solution | Discuss! | Chapters»

Question 2

A 350 liter mixture of milk and water contains 56% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

 A

42 liter.

 B

43 liter.

 C

41 liter.

 D

45 liter.

Soln.
Ans: a

The volume of milk will remain same at ${56 × 350}/100$ = 196 liters. The amount of water at present is 350 - 196 = 154 liters. We need to make the volume of water equal to that of the milk. So we have to add 196 - 154 = 42 liters of water.

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Question 3

If X is 50% more than Z, and Y is 60% more than Z, what is the ratio of X to Y?

 A

${15/16}$.

 B

$2{1/15}$.

 C

$2{11/18}$.

 D

$3{1/2}$.

Soln.
Ans: a

Clearly, X = $(100 + 50)/100$ × Z, and Y = $(100 + 60)/100$ × Z, which gives X : Y as $(100 + 50)/(100 + 60)$ = $150/160$ = ${15/16}$

Solution | Discuss! | Chapters»

Question 4

A sum of Rs. 13000 is to be divided among three partners, P, Q and R, in the ratio 11 : 5 : 10. How much does Q get?

 A

Rs. 2500.

 B

Rs. 2502.

 C

Rs. 2498.

 D

Rs. 2504.

Soln.
Ans: a

The share of Q is in the ratio like this: $5/{11 + 5 + 10} × 13000$ = Rs. 2500.

Solution | Discuss! | Chapters»

Question 5

A sum of Rs. 25200 is to be divided among three partners, P, Q and R, in the ratio 16 : 15 : 5. What is the difference between the shares of P and Q?

 A

Rs. 700.

 B

Rs. 702.

 C

Rs. 698.

 D

Rs. 704.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: ${16 - 15}/{16 + 15 + 5} × 25200$ = Rs. 700.

Solution | Discuss! | Chapters»
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Updated on 2020-02-07. Published on: 2016-05-12

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