CMAT 2024 Slot 1 Question Paper

Instructions

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 1

The total number of girls in the Engineering College is

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Question 2

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

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Question 3

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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Instructions

For the following questions answer them individually

Question 4

If the digit in the unit's place of a two-digit number is halved and the digit in ten's place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?

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Question 5

Given below are two statements :

Statement I :
In order to get a mixture worth t 16·5/kg , a grocer needs to mix two varieties of pulses
costing ₹ 15 and ₹ 20 per kg respectively in the ratio 7 : 3.

Statement II :
A merchant has 1000 kg rice, part of which he sells at 8 % profit and the rest at 16 % profit. He gains 14 % on the whole. The quantity of rice sold at 16 % profit is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:

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Question 6

image

Choose the correct answer from the options given below:

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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:

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Question 8

A certain amount of money at compound interest grows to ₹66,550 in 3 years and ₹73,205 in 4 years. The rate percent per annum is :

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Question 9

A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles. If a single marble is chosen at random from the jar

A) Probability of getting a yellow marble is $$\frac{1}{5}$$

B) Probability of getting a green marble is $$\frac{3}{10}$$

C) Probability of getting either a yellow or a green marble is $$\frac{7}{10}$$

D) Probability of getting either a red or a yellow marble is $$\frac{3}{10}$$

Choose the correct answer from the options given below :

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Question 10

Match List-I with List-II

image

Choose the correct answer from the options given below :

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