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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?
Question 2
What is the ratio A : B : C if A = $8/5$B and B = $19/2$C?
152 : 95 : 10.
8 : 19 : 2.
5 : 19 : 2.
8 : 2 : 152.
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?
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?
${1/4}$.
$1{2/3}$.
$1{1/2}$.
$2{1/6}$.
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 $9/5$ : $2/3$ : $2/7$?
1323.
1327.
1319.
1331.
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 2020-02-07. Published on: 2016-05-12