CMAT Average, Ratio, and Proportions Questions
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:
correct answer:-1
Question 2
If a% of a + b% of b = 2% of ab, then what percent of a is b?
correct answer:-4
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
correct answer:-1
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?
correct answer:-4
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?
correct answer:-3
Question 6
Choose the correct answer from the options given below:
correct answer:-2
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:
correct answer:-3
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
correct answer:-3
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?
correct answer:-3
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?
correct answer:-1
