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CMAT 2024 Slot 1 - QUANTS and DI

Instructions [1 - 3 ]
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.

CMAT 2024 Slot 1 - QUANTS and DI

Q.1

The total number of girls in the Engineering College is

  1. 138

  2. 112

  3. 102

  4. 116

Option 3

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.2

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

  1. 75%

  2. 80%

  3. 85%

  4. 90%

Option 3

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.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?

  1. 15%

  2. 12%

  3. 13.5%

  4. 17.5%

Option 1

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.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 de nitely true?

  1. Sum of the digits is a two-digit number.

  2. Digit in the unit's place is half of the digit in the ten's place.

  3. Digit in the unit's place and the ten's place are equal.

  4. Digit in the unit's place is twice the digit in ten's place.

Option 4

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.5

Given below are two statements :
Statement I : In order to get a mixture worth Rs 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:

  1. Both Statement I and Statement II are true B

  2. Both Statement I and Statement II are false.

  3. Statement I is true but Statement II is false D.

  4. Statement I is false but Statement II is true

Option 1

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.6

6 s1.png

Option 2

Answer

Choose the correct answer from the options given below:

  1. (A) - (III), (B)- (I), (C) - (IV), (D) - (II)

  2. (A) - (II), (B) - (III), (C) - (IV), (D) - (I)

  3. (A) - (IV), (B) - (I), (C) - (II), (D) - (III)

  4. (A) - (I), (B) - (III), (C) - (IV), (D) - (II)

CMAT 2024 Slot 1 - QUANTS and DI

Q.7

7 s1.png

Option 3

Answer

  1. only B

  2. only C    

  3. (A) and (B) only

  4. (C) and (D) only

CMAT 2024 Slot 1 - QUANTS and DI

Q.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 :

  1. 10%

  2. 9%

  3. 5%

  4. 11%

Option 1

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.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 1/5
B) Probability of getting a green marble is 3/10
C) Probability of getting either a yellow or a green marble is 7/10
D) Probability of getting either a red or a yellow marble is 3/10

Choose the correct answer from the options given below :

  1. (A) and (D) only

  2. (B) and (C) only

  3. (A) and (C) only

  4. (B) and (D) only

Option 2

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.10

10 s1.png

Choose the correct answer from the options given below:

  1. (A) - (I), (B) - (IV), (C) - (III), (D) - (II)

  2. (A) - (I), (B) - (III), (C) - (IV), (D - (II)

  3. (A) - (II), (B) - (IV), (C) - (I), (D) - (III)

  4. (A) - (II), (B) - (I), (C) - (IV), (D) - (III)

Option 3

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.11

 Arrange the following in increasing order:
A. 16 2/3%
B. 2/15
C. 0.17
D. 0.25 % of 64

Choose the correct answer from the options given below:

  1. B < D < A < C

  2. A < D < B < C

  3. C < D < B < A

  4. A < C < D < B

Option 1

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.12

12 s1.png

Choose the correct answer from the options given below:

  1.  A < D < B < C

  2. B < C < A < D

  3. A < C < B < D

  4. B < A < C < D

Option 2

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.13

A dishonest dealer sells his goods at 10 % loss on cost price and uses 30 % less weight. What is his profit or loss percentage ?

  1. 28 4/7% loss

  2. 28 3/7% profit

  3. 28 3/7% loss

  4. 28 4/7% profit

Option 4

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.14

14 s1.png

Option 2

Answer

  1. p=2r

  2. p=r

  3. 2p=r

  4. p=4r

CMAT 2024 Slot 1 - QUANTS and DI

Q.15

Given below are two statements : 

​

Statement I : Ram and Shyam can nish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it.

 

Statement II : If 6 persons working 8 hours a day earn ₹8,400 per week, then 9 person working 6 hours a day will earn ₹9,450 per week.

 

In the light of the above statements, choose the correct answer from the options given below :

  1. Both Statement I and Statement II are true

  2. Both Statement I and Statement II are false

  3. Statement I is true but Statement II is false

  4. Statement I is false but Statement II is true

Option 1

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.16

If abc > 0, such that a,b,c are integers then which of the following must be true?

  1. a/b < 0

  2. ab/c < 0

  3. bc < 0

  4. a > bc

Option 2

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.17

A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed . The water level in the vessel will rise by :

  1. 2/9 cm

  2. 4/9 cm

  3. 9/4 cm

  4. 9/2 cm

Option 3

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.18

Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.

  1. 12 ways

  2. 6 ways

  3. 16 ways

  4. 20 ways

Option 1

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.19

Ramesh invests ₹1,200 at 5 % simple interest. How much additional money must he invest at 8 % simple interest so that his total annual income will be equal to 6 % of his total investment during this year ?

  1. Rs. 500

  2. Rs. 600

  3. Rs. 1200

  4. R. 1500

Option 2

Answer

CMAT 2024 Slot 1 - QUANTS and DI

Q.20

A train travelling at 48 km/h completely crosses another train having half the length of rst train and travelling in opposite direction at 42 km/h in 12 seconds. The train having speed 48 km/h also passes a railway platform in 45 seconds. What is the length of the platform ?

  1. 600 m

  2. 300 m

  3. 400 m

  4. 200 m

Option 3

Answer

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