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Quantitative Techniques and Data Interpretation
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.
1. The total number of girls in the Engineering College is
A    138
B    112
C    102
D    116
2. The number of girls who opted Mechanical is how much percent of number of students who opted
Electronics?
A    75 %
B    80 %
C    85 %
D    90 %
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?
A    15 %
B    12 %
C    13.5 %
D    17·5 %
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
denitely true?
A    Sum of the digits is a two-digit number.
CMAT 2024 Slot 1 Question Paper
Page 2


Quantitative Techniques and Data Interpretation
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.
1. The total number of girls in the Engineering College is
A    138
B    112
C    102
D    116
2. The number of girls who opted Mechanical is how much percent of number of students who opted
Electronics?
A    75 %
B    80 %
C    85 %
D    90 %
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?
A    15 %
B    12 %
C    13.5 %
D    17·5 %
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
denitely true?
A    Sum of the digits is a two-digit number.
CMAT 2024 Slot 1 Question Paper
B    Digit in the unit's place is half of the digit in the ten's place.
C    Digit in the unit's place and the ten's place are equal.
D    Digit in the unit's place is twice the digit in ten's place.
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 % prot and the rest at 16 % prot. He gains 14 % on
the whole. The quantity of rice sold at 16 % prot is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:
A    Both Statement I and Statement II are true
B    Both Statement I and Statement II are false
C    Statement I is true but Statement II is false
D    Statement I is false but Statement II is true
6. 
Choose the correct answer from the options given below:
A    (A) - (III), (B)- (I), (C) - (IV), (D) - (II)
B    (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
C    (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
D    (A) - (I), (B) - (III), (C) - (IV), (D) - (II)
7. 
A) If  = 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  = 9 : 8 : 24
Choose the correct answer from the options given below:
 :
x
1
 :
y
1
z
1
 :
Q
P
:
R
Q
 
P
R
Page 3


Quantitative Techniques and Data Interpretation
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.
1. The total number of girls in the Engineering College is
A    138
B    112
C    102
D    116
2. The number of girls who opted Mechanical is how much percent of number of students who opted
Electronics?
A    75 %
B    80 %
C    85 %
D    90 %
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?
A    15 %
B    12 %
C    13.5 %
D    17·5 %
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
denitely true?
A    Sum of the digits is a two-digit number.
CMAT 2024 Slot 1 Question Paper
B    Digit in the unit's place is half of the digit in the ten's place.
C    Digit in the unit's place and the ten's place are equal.
D    Digit in the unit's place is twice the digit in ten's place.
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 % prot and the rest at 16 % prot. He gains 14 % on
the whole. The quantity of rice sold at 16 % prot is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:
A    Both Statement I and Statement II are true
B    Both Statement I and Statement II are false
C    Statement I is true but Statement II is false
D    Statement I is false but Statement II is true
6. 
Choose the correct answer from the options given below:
A    (A) - (III), (B)- (I), (C) - (IV), (D) - (II)
B    (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
C    (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
D    (A) - (I), (B) - (III), (C) - (IV), (D) - (II)
7. 
A) If  = 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  = 9 : 8 : 24
Choose the correct answer from the options given below:
 :
x
1
 :
y
1
z
1
 :
Q
P
:
R
Q
 
P
R
A    (C) only
B    (D) only
C    (A) and (B) only
D    (C) and (D) only
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 :
A    10 %
B    9 %
C    5 %
D    11 %
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 
B) Probability of getting a green marble is 
C) Probability of getting either a yellow or a green marble is 
D) Probability of getting either a red or a yellow marble is 
Choose the correct answer from the options given below :
A    (A) and (D) only
B    (B) and (C) only
C    (A) and (C) only
D    (B) and (D) only
10. Match List-I with List-II
 
5
1
 
10
3
 
10
7
 
10
3
Page 4


Quantitative Techniques and Data Interpretation
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.
1. The total number of girls in the Engineering College is
A    138
B    112
C    102
D    116
2. The number of girls who opted Mechanical is how much percent of number of students who opted
Electronics?
A    75 %
B    80 %
C    85 %
D    90 %
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?
A    15 %
B    12 %
C    13.5 %
D    17·5 %
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
denitely true?
A    Sum of the digits is a two-digit number.
CMAT 2024 Slot 1 Question Paper
B    Digit in the unit's place is half of the digit in the ten's place.
C    Digit in the unit's place and the ten's place are equal.
D    Digit in the unit's place is twice the digit in ten's place.
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 % prot and the rest at 16 % prot. He gains 14 % on
the whole. The quantity of rice sold at 16 % prot is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:
A    Both Statement I and Statement II are true
B    Both Statement I and Statement II are false
C    Statement I is true but Statement II is false
D    Statement I is false but Statement II is true
6. 
Choose the correct answer from the options given below:
A    (A) - (III), (B)- (I), (C) - (IV), (D) - (II)
B    (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
C    (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
D    (A) - (I), (B) - (III), (C) - (IV), (D) - (II)
7. 
A) If  = 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  = 9 : 8 : 24
Choose the correct answer from the options given below:
 :
x
1
 :
y
1
z
1
 :
Q
P
:
R
Q
 
P
R
A    (C) only
B    (D) only
C    (A) and (B) only
D    (C) and (D) only
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 :
A    10 %
B    9 %
C    5 %
D    11 %
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 
B) Probability of getting a green marble is 
C) Probability of getting either a yellow or a green marble is 
D) Probability of getting either a red or a yellow marble is 
Choose the correct answer from the options given below :
A    (A) and (D) only
B    (B) and (C) only
C    (A) and (C) only
D    (B) and (D) only
10. Match List-I with List-II
 
5
1
 
10
3
 
10
7
 
10
3
Choose the correct answer from the options given below :
A    (A) - (I), (B) - (IV), (C) - (III), (D) - (II)
B    (A) - (I), (B) - (III), (C) - (IV), (D - (II)
C    (A) - (II), (B) - (IV), (C) - (I), (D) - (III)
D    (A) - (II), (B) - (I), (C) - (IV), (D) - (III)
11. Arrange the following in increasing order:
A)  %
B) 
C) 0.17
D) 0.25 % of 64
Choose the correct answer from the options given below:
A    B < D < A < C
B    A < D < B < C
C    C < D < B < A
D    A < C < D < B
12. Arrange the following in increasing order:
A) 
B) 
C) 
D) 
Choose the correct answer from the options given below :
A    A < D < B < C
B    B < C < A < D
C    A < C < B < D
D    B < A < C < D
13. A dishonest dealer sells his goods at 10 % loss on cost price and uses 30 % less weight.
What is his prot or loss percentage ?
A     % loss
B     % prot
C     % loss
D     % prot
16 
3
2
 
15
2
 
4
3
3
2
 
6
5
 
6
7
28 
7
4
28 
7
3
28 
7
3
28 
7
4
Page 5


Quantitative Techniques and Data Interpretation
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.
1. The total number of girls in the Engineering College is
A    138
B    112
C    102
D    116
2. The number of girls who opted Mechanical is how much percent of number of students who opted
Electronics?
A    75 %
B    80 %
C    85 %
D    90 %
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?
A    15 %
B    12 %
C    13.5 %
D    17·5 %
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
denitely true?
A    Sum of the digits is a two-digit number.
CMAT 2024 Slot 1 Question Paper
B    Digit in the unit's place is half of the digit in the ten's place.
C    Digit in the unit's place and the ten's place are equal.
D    Digit in the unit's place is twice the digit in ten's place.
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 % prot and the rest at 16 % prot. He gains 14 % on
the whole. The quantity of rice sold at 16 % prot is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:
A    Both Statement I and Statement II are true
B    Both Statement I and Statement II are false
C    Statement I is true but Statement II is false
D    Statement I is false but Statement II is true
6. 
Choose the correct answer from the options given below:
A    (A) - (III), (B)- (I), (C) - (IV), (D) - (II)
B    (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
C    (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
D    (A) - (I), (B) - (III), (C) - (IV), (D) - (II)
7. 
A) If  = 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  = 9 : 8 : 24
Choose the correct answer from the options given below:
 :
x
1
 :
y
1
z
1
 :
Q
P
:
R
Q
 
P
R
A    (C) only
B    (D) only
C    (A) and (B) only
D    (C) and (D) only
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 :
A    10 %
B    9 %
C    5 %
D    11 %
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 
B) Probability of getting a green marble is 
C) Probability of getting either a yellow or a green marble is 
D) Probability of getting either a red or a yellow marble is 
Choose the correct answer from the options given below :
A    (A) and (D) only
B    (B) and (C) only
C    (A) and (C) only
D    (B) and (D) only
10. Match List-I with List-II
 
5
1
 
10
3
 
10
7
 
10
3
Choose the correct answer from the options given below :
A    (A) - (I), (B) - (IV), (C) - (III), (D) - (II)
B    (A) - (I), (B) - (III), (C) - (IV), (D - (II)
C    (A) - (II), (B) - (IV), (C) - (I), (D) - (III)
D    (A) - (II), (B) - (I), (C) - (IV), (D) - (III)
11. Arrange the following in increasing order:
A)  %
B) 
C) 0.17
D) 0.25 % of 64
Choose the correct answer from the options given below:
A    B < D < A < C
B    A < D < B < C
C    C < D < B < A
D    A < C < D < B
12. Arrange the following in increasing order:
A) 
B) 
C) 
D) 
Choose the correct answer from the options given below :
A    A < D < B < C
B    B < C < A < D
C    A < C < B < D
D    B < A < C < D
13. A dishonest dealer sells his goods at 10 % loss on cost price and uses 30 % less weight.
What is his prot or loss percentage ?
A     % loss
B     % prot
C     % loss
D     % prot
16 
3
2
 
15
2
 
4
3
3
2
 
6
5
 
6
7
28 
7
4
28 
7
3
28 
7
3
28 
7
4
14. 
If the roots of the equation  are reciprocal to each other, then which one of the following
is correct ?
A    p = 2r
B    p = r
C    2p = r
D    p = 4r
15. Given below are two statements :
Statement I :
Ram and Shyam can nish a task by working together in 6 days. If Shyam can nish the task by working
alone in 8 days, then Ram alone will take 24 days to nish 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 :
A    Both Statement I and Statement II are true
B    Both Statement I and Statement II are false
C    Statement I is true but Statement II is false
D    Statement I is false but Statement II is true
16. If abc > 0, such that a,b,c are integers then which of the following must be true?
A    
B    
C    
D    
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 :
A     cm
B     cm
C     cm
p x +
2
x + r = 0
 <
b
a
0
 <
c
a b
0
b c < 0
a > b c
 
9
2
 
9
4
 
4
9

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