CMAT Average, Ratio, and Proportions Questions

CMAT 2026 Average, Ratio, and Proportions questions

Question 1

In Kendriya Vidya laya, Ujja in, 20 percent of students are ath letes. In Navodaya Vidyalaya, Ujjain, 25 percent of students are ath letes. If Navodaya Vidyalaya has 60% more students than Kendriya Vidyalaya, then the number of athletes in Navodaya Vidyalaya is what percent of the athletes of Kendriya Vidyalaya?

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Question 2

85 litres of a mixtu re conta in milk and water in t he ratio 27:7. How much more water is requ ired to be added in the mixtu re, so that th e resulting mixture contain s mil k and water in the ratio 3:1?

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CMAT 2025 Average, Ratio, and Proportions questions

Question 1

Reema had 'n' chocolates. She distributed them among 4 children in the ratio of $$\dfrac{1}{2} : \dfrac{1}{3} : \dfrac{1}{5} : \dfrac{1}{8}$$. If she gave them each one a complete chocolate, the minimum number of chocolates she had distributed.

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Question 2

Alpha and Beta are two chemical fertilizers. Alpha consists of N, P, K and Beta consists of N and P. A mixture of Alpha and Beta is prepared in which the ratio of N, P and K is 26%, 68% and 6%. The ratio of N, P, K in Alpha is 20%, 70% and 10%. What is the ratio of N and P in Beta?

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Question 3

Match List I with List II :

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Choose the correct answer from the options given below :

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Question 4

Anand's income is ₹ 140 more than Biren's income and Chandu's income is ₹ 80 more than Deepak's. If the ratio of Anand's & Chandu's income is 2 : 3 and the ratio of Biren's and Deepak's income is 1 : 2 , then the incomes of Anand, Biren, Chandu and Deepak are respectively:


Question 5

Three vessels 'P', 'Q' and 'R' of same capacity are all full. Vessels 'P' and 'Q' contain mixture of milk and water in the ratios 4 : 1 and 7 : 3 respectively while vessel 'R' contains
only pure milk. The contents of these vessels are poured into a larger vessel 'S'. After drawing 30 litres of mixture from vessel 'S', the final quantity of water left in vessel 'S' is 40 litres, then the capacity of each vessel is :


Question 6

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test, where 80% men and 70% women were successful. Which of the following statements is/are correct ?
A. Success rate is higher for women.
B. More men cleared the examination than women.
C. Success rate is higher for men.
D. Overall success rate is below 50%
Choose the correct answer from the options given below :


Question 7

There are three bottles of mixture of syrup and water in the ratios 2 : 3, 3 : 4 and 7 : 5. 10 litres of first and 21 litres of second bottles are taken. How much quantity of mixtures from third bottle is to be taken so that the final syrup and water ratio of mixture from three bottles will be 1 : 1 if the final mixture from all the three bottles is added and mixed in a big container?

CMAT 2024 Average, Ratio, and Proportions questions

Question 1

Arrange the following in increasing order:

A) $$16\frac{2}{3}$$ %
B) $$\frac{2}{15}$$
C) 0.17
D) 0.25 % of 64

Choose the correct answer from the options given below:


Question 2

If a% of a + b% of b = 2% of ab, then what percent of a is b?


Question 3

A vessel of 160 L is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found out that the vessel is vacated by 55%, then the quantity of milk and water in the original mixture is


Question 4

Mr. Seth inherits 2505 gold coins and divides them among his three sons : Brij, Purab and Mohan in a certain ratio. Out of the total coins received by each of them, Brij sells 30 coins, Purab donates his 30 coins and Mohan loses 25 coins. Now, the ratio of gold coins with them is 46 : 41 : 34 respectively. How many coins did Purab receive from his father?


Question 5

A container is filled with liquid, 6 part of which are water and 10 part milk. How much of the mixture must be drawn off and replaced with water, so that the mixture may be half water and half milk?


Question 6

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Choose the correct answer from the options given below:


Question 7

A) If $$\frac{1}{x} : \frac{1}{y} : \frac{1}{z}$$ = 2 : 3 : 5, then x : y : z = 15 : 10 : 6
B) If 4p = 6q = 9r, then p : q : r = 9 : 6 : 4
C) If 2A = 3B = 4C, then A : B : C = 3 : 4 : 6
D) If P : Q : R = 2 : 3 : 4, then $$\frac{P}{Q} : \frac{Q}{R} : \frac{R}{P}$$ = 9 : 8 : 24

Choose the correct answer from the options given below:


Instruction for set 1:

Following 3 questions are based on the information given below.

There are 240 students in an engineering college. Each student opted for exactly one of
three specialisations among Computer Science, Mechanical and Electronics. The total
number of students who opted for Computer Science and Electronics is equal to the
number of students who opted for Mechanical. 42·5 % students who opted for Mechanical
are girls. The number of girls who opted for Computer Science is one-third the number of
boys who opted for Mechanical. The difference between the number of boys who opted for
Electronics and the number of girls who opted for Computer Science is equal to the
difference between the number of boys who opted for Computer Science and the number
of girls who opted for Electronics. The number of girls who opted for Electronics is 28.

Question 8

The total number of girls in the Engineering College is


Instruction for set 1:

Following 3 questions are based on the information given below.

There are 240 students in an engineering college. Each student opted for exactly one of
three specialisations among Computer Science, Mechanical and Electronics. The total
number of students who opted for Computer Science and Electronics is equal to the
number of students who opted for Mechanical. 42·5 % students who opted for Mechanical
are girls. The number of girls who opted for Computer Science is one-third the number of
boys who opted for Mechanical. The difference between the number of boys who opted for
Electronics and the number of girls who opted for Computer Science is equal to the
difference between the number of boys who opted for Computer Science and the number
of girls who opted for Electronics. The number of girls who opted for Electronics is 28.

Question 9

The number of girls who opted Mechanical is how much percent of number of students who opted Electronics?


Instruction for set 1:

Following 3 questions are based on the information given below.

There are 240 students in an engineering college. Each student opted for exactly one of
three specialisations among Computer Science, Mechanical and Electronics. The total
number of students who opted for Computer Science and Electronics is equal to the
number of students who opted for Mechanical. 42·5 % students who opted for Mechanical
are girls. The number of girls who opted for Computer Science is one-third the number of
boys who opted for Mechanical. The difference between the number of boys who opted for
Electronics and the number of girls who opted for Computer Science is equal to the
difference between the number of boys who opted for Computer Science and the number
of girls who opted for Electronics. The number of girls who opted for Electronics is 28.

Question 10

By what percent is the number of boys who opted for Mechanical is more than the total number of students who opted for Electronics?

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