Ratio and Proportion Quiz Set 003

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Question 1

A sum of Rs. 9000 is to be divided among three partners, P, Q and R, in the ratio 6 : 5 : 4. What is the difference between the shares of P and Q?

 A

Rs. 600.

 B

Rs. 602.

 C

Rs. 598.

 D

Rs. 604.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: ${6 - 5}/{6 + 5 + 4} × 9000$ = Rs. 600.


Question 2

What is the ratio A : B : C if A = $8/5$B and B = $19/2$C?

 A

152 : 95 : 10.

 B

8 : 19 : 2.

 C

5 : 19 : 2.

 D

8 : 2 : 152.

Soln.
Ans: a

We can write B = $5/8$A. Now we can use B as the pivot and write $5/8$A = B = $19/2$C. Divide all three with 5 × 19 to get $A/{8 × 19}$ = $B/{5 × 19}$ = $C/{2 × 5}$. So the required ratio is 152 : 95 : 10. The answer is 152 : 95 : 10.


Question 3

The ratio of shares of three friends in Rs. 2400 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

 A

Rs. 800.

 B

Rs. 804.

 C

Rs. 796.

 D

Rs. 808.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 2400 = $a/{3a}$ × 2400 = $2400/3$ = Rs. 800.


Question 4

A mixture of milk and water contains 2 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

${1/4}$.

 B

$1{2/3}$.

 C

$1{1/2}$.

 D

$2{1/6}$.

Soln.
Ans: a

Let the volume of the mixture be 2 + 1 = 3 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $1 - {1x}/3 + x$. The volume of the milk in the new mixture would be $2 - {2x}/3.$ Equating the two volumes and solving for x we get x = ${3 × 1}/{2 × 2}$. The fraction that must be removed = $1/3$ × ${3 × 1}/{2 × 2}$, which gives $1/{2 × 2}$ = ${1/4}$.


Question 5

What is the value of the first part if 2023 is divided in the ratio $9/5$ : $2/3$ : $2/7$?

 A

1323.

 B

1327.

 C

1319.

 D

1331.

Soln.
Ans: a

We have $9/5$ : $2/3$ : $2/7$. Now 105 is the LCM of 5, 3 and 7, so the ratios become $9/5 × 105$ : $2/3 × 105$ : $2/7 × 105$, which are same as 189 : 70 : 30. The value of the first item is $189/{189 + 70 + 30}$ × 2023 = 1323.


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This Blog Post/Article "Ratio and Proportion Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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