CMAT 2023 Slot - 1: Past Year Question Paper with Solutions | CMAT Mock Test Series - CAT PDF Download

 Page 1


CMAT 4th May 2023 Slot-1
Quantitative Techniques and Data Interpretation
Instructions [1 - 5 ]
The following table shows the percentage of Cricket players and scored runs by them in three different
tournaments P, Q and R. Total number of players is 300 and all the 300 players played all the matches in
each tournament. Based on the data in the table; answer-the questions 1-5. 
Tournament-wise Percentage of Players scoring runs
1. Number of players who scored less than or equal to 40 runs in tournament Q is _____ % more than the
number of players who scored more than 60 runs in tournament P and Q together.
A    65
B    50
C    40
D    45
A n s w e r : C
Explanation:
It is given,
Number of players who scored less than or equal to 40 runs in tournament Q = 300 - 90 = 210
 = 
x = 40%
The answer is option C.
210 75 + 75 100
 100+ x
( )
 100 + x = 210 ( 150
100
)
  
.
Page 2


CMAT 4th May 2023 Slot-1
Quantitative Techniques and Data Interpretation
Instructions [1 - 5 ]
The following table shows the percentage of Cricket players and scored runs by them in three different
tournaments P, Q and R. Total number of players is 300 and all the 300 players played all the matches in
each tournament. Based on the data in the table; answer-the questions 1-5. 
Tournament-wise Percentage of Players scoring runs
1. Number of players who scored less than or equal to 40 runs in tournament Q is _____ % more than the
number of players who scored more than 60 runs in tournament P and Q together.
A    65
B    50
C    40
D    45
A n s w e r : C
Explanation:
It is given,
Number of players who scored less than or equal to 40 runs in tournament Q = 300 - 90 = 210
 = 
x = 40%
The answer is option C.
210 75 + 75 100
 100+ x
( )
 100 + x = 210 ( 150
100
)
  
.
2. what is the ratio between the number of players who scored more than 60 runs in tournament Q to
the number of players who scored less than or equal to 20 runs in tournaments Q and R together?
A    7 : 15
B    5 : 14
C    4 : 15
D    3 : 5
A n s w e r : B
Explanation:
It is given,
 The number of players who scored more than 60 runs in tournament Q is 75.
 The number of players who scored less than or equal to 20 runs in tournaments Q and R together = 120 +
90 = 210
Required ratio = 75 : 210 = 5 : 14
The answer is option B.
3. What is the total number of players who scored more than 60 runs in all the three tournaments?
A    210
B    270
C    240
D    235
A n s w e r : A
Explanation:
It is given,
Total number of players who scored more than 60 runs in all the three tournaments = 75 + 75 + 60 = 210
The answer is option A.
4. If L is the number of players who scored more than 40 runs in tournament P and M is the number of
players who scored less than or equal to 40 runs in tournament R, then M - L = _________.
A    
140
  
.
Page 3


CMAT 4th May 2023 Slot-1
Quantitative Techniques and Data Interpretation
Instructions [1 - 5 ]
The following table shows the percentage of Cricket players and scored runs by them in three different
tournaments P, Q and R. Total number of players is 300 and all the 300 players played all the matches in
each tournament. Based on the data in the table; answer-the questions 1-5. 
Tournament-wise Percentage of Players scoring runs
1. Number of players who scored less than or equal to 40 runs in tournament Q is _____ % more than the
number of players who scored more than 60 runs in tournament P and Q together.
A    65
B    50
C    40
D    45
A n s w e r : C
Explanation:
It is given,
Number of players who scored less than or equal to 40 runs in tournament Q = 300 - 90 = 210
 = 
x = 40%
The answer is option C.
210 75 + 75 100
 100+ x
( )
 100 + x = 210 ( 150
100
)
  
.
2. what is the ratio between the number of players who scored more than 60 runs in tournament Q to
the number of players who scored less than or equal to 20 runs in tournaments Q and R together?
A    7 : 15
B    5 : 14
C    4 : 15
D    3 : 5
A n s w e r : B
Explanation:
It is given,
 The number of players who scored more than 60 runs in tournament Q is 75.
 The number of players who scored less than or equal to 20 runs in tournaments Q and R together = 120 +
90 = 210
Required ratio = 75 : 210 = 5 : 14
The answer is option B.
3. What is the total number of players who scored more than 60 runs in all the three tournaments?
A    210
B    270
C    240
D    235
A n s w e r : A
Explanation:
It is given,
Total number of players who scored more than 60 runs in all the three tournaments = 75 + 75 + 60 = 210
The answer is option A.
4. If L is the number of players who scored more than 40 runs in tournament P and M is the number of
players who scored less than or equal to 40 runs in tournament R, then M - L = _________.
A    
140
  
.
B    
130
C    120
D    105
A n s w e r : D
Explanation:
It is given,
The number of players who scored more than 40 runs in tournament P(L) = 105 
The number of players who scored less than or equal to 40 runs in tournament R(M) = 300 - 90 = 210
M - L = 210 - 105 = 105
The answer is option D.
5. Average number of players who scored more than 20 runs in all the three tournaments is
A    180
B    160
C    190
D    210
A n s w e r : D
Explanation:
It is given,
Average number of players who scored more than 20 runs in all the three tournaments = 
The answer is option D.
 = 3
 240+180+210
= 3
630
210
  
.
Page 4


CMAT 4th May 2023 Slot-1
Quantitative Techniques and Data Interpretation
Instructions [1 - 5 ]
The following table shows the percentage of Cricket players and scored runs by them in three different
tournaments P, Q and R. Total number of players is 300 and all the 300 players played all the matches in
each tournament. Based on the data in the table; answer-the questions 1-5. 
Tournament-wise Percentage of Players scoring runs
1. Number of players who scored less than or equal to 40 runs in tournament Q is _____ % more than the
number of players who scored more than 60 runs in tournament P and Q together.
A    65
B    50
C    40
D    45
A n s w e r : C
Explanation:
It is given,
Number of players who scored less than or equal to 40 runs in tournament Q = 300 - 90 = 210
 = 
x = 40%
The answer is option C.
210 75 + 75 100
 100+ x
( )
 100 + x = 210 ( 150
100
)
  
.
2. what is the ratio between the number of players who scored more than 60 runs in tournament Q to
the number of players who scored less than or equal to 20 runs in tournaments Q and R together?
A    7 : 15
B    5 : 14
C    4 : 15
D    3 : 5
A n s w e r : B
Explanation:
It is given,
 The number of players who scored more than 60 runs in tournament Q is 75.
 The number of players who scored less than or equal to 20 runs in tournaments Q and R together = 120 +
90 = 210
Required ratio = 75 : 210 = 5 : 14
The answer is option B.
3. What is the total number of players who scored more than 60 runs in all the three tournaments?
A    210
B    270
C    240
D    235
A n s w e r : A
Explanation:
It is given,
Total number of players who scored more than 60 runs in all the three tournaments = 75 + 75 + 60 = 210
The answer is option A.
4. If L is the number of players who scored more than 40 runs in tournament P and M is the number of
players who scored less than or equal to 40 runs in tournament R, then M - L = _________.
A    
140
  
.
B    
130
C    120
D    105
A n s w e r : D
Explanation:
It is given,
The number of players who scored more than 40 runs in tournament P(L) = 105 
The number of players who scored less than or equal to 40 runs in tournament R(M) = 300 - 90 = 210
M - L = 210 - 105 = 105
The answer is option D.
5. Average number of players who scored more than 20 runs in all the three tournaments is
A    180
B    160
C    190
D    210
A n s w e r : D
Explanation:
It is given,
Average number of players who scored more than 20 runs in all the three tournaments = 
The answer is option D.
 = 3
 240+180+210
= 3
630
210
  
.
6. Given below are two statements: 
Statement I: Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(AB) = 0.5. Then P(AC
BC) =  
Statement II: Let A and B be two events such that P(A) = 0.2, P(B) = 0.4 and P(AUB) = 0.6. The.n
P(AB) = 
In the fight of the above statements choose the most appropriate answer from the options given
below:
A    Both Statement I and Statement II are correct
B    Both Statement I and Statement II are incorrect
C    Statement I is correct but Statement II is incorrect
D    Statement I is incorrect but Statement II is correct
A n s w e r : E
Explanation:
This question is not clear and is officially removed from CMAT 2023 paper.
7. If M, A and T ate distinct positive integers such that M  A  T = 1947, then which of the following
is the maximum possible value of M + A + T?
A    189
B    649
C    653
D    1949
A n s w e r : C
Explanation:
1947 =  = 
Maximum value of M + A + T = 1 + 3 + 649 = 653
The answer is option C.
8. Let S(n) represents the sum of digits of a natural number n. For example, S(128)= 1 + 2 + 8 =
11. What is the value of )?
A    9
B    11
10
3
10
3
× ×
1 × 3 × 649 3 × 11 × 59
M × A × T = 1 × 3 × 649 = 3 × 11 × 59
S(2 ×
6
3 ×
4
5
5
  
.
Page 5


CMAT 4th May 2023 Slot-1
Quantitative Techniques and Data Interpretation
Instructions [1 - 5 ]
The following table shows the percentage of Cricket players and scored runs by them in three different
tournaments P, Q and R. Total number of players is 300 and all the 300 players played all the matches in
each tournament. Based on the data in the table; answer-the questions 1-5. 
Tournament-wise Percentage of Players scoring runs
1. Number of players who scored less than or equal to 40 runs in tournament Q is _____ % more than the
number of players who scored more than 60 runs in tournament P and Q together.
A    65
B    50
C    40
D    45
A n s w e r : C
Explanation:
It is given,
Number of players who scored less than or equal to 40 runs in tournament Q = 300 - 90 = 210
 = 
x = 40%
The answer is option C.
210 75 + 75 100
 100+ x
( )
 100 + x = 210 ( 150
100
)
  
.
2. what is the ratio between the number of players who scored more than 60 runs in tournament Q to
the number of players who scored less than or equal to 20 runs in tournaments Q and R together?
A    7 : 15
B    5 : 14
C    4 : 15
D    3 : 5
A n s w e r : B
Explanation:
It is given,
 The number of players who scored more than 60 runs in tournament Q is 75.
 The number of players who scored less than or equal to 20 runs in tournaments Q and R together = 120 +
90 = 210
Required ratio = 75 : 210 = 5 : 14
The answer is option B.
3. What is the total number of players who scored more than 60 runs in all the three tournaments?
A    210
B    270
C    240
D    235
A n s w e r : A
Explanation:
It is given,
Total number of players who scored more than 60 runs in all the three tournaments = 75 + 75 + 60 = 210
The answer is option A.
4. If L is the number of players who scored more than 40 runs in tournament P and M is the number of
players who scored less than or equal to 40 runs in tournament R, then M - L = _________.
A    
140
  
.
B    
130
C    120
D    105
A n s w e r : D
Explanation:
It is given,
The number of players who scored more than 40 runs in tournament P(L) = 105 
The number of players who scored less than or equal to 40 runs in tournament R(M) = 300 - 90 = 210
M - L = 210 - 105 = 105
The answer is option D.
5. Average number of players who scored more than 20 runs in all the three tournaments is
A    180
B    160
C    190
D    210
A n s w e r : D
Explanation:
It is given,
Average number of players who scored more than 20 runs in all the three tournaments = 
The answer is option D.
 = 3
 240+180+210
= 3
630
210
  
.
6. Given below are two statements: 
Statement I: Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(AB) = 0.5. Then P(AC
BC) =  
Statement II: Let A and B be two events such that P(A) = 0.2, P(B) = 0.4 and P(AUB) = 0.6. The.n
P(AB) = 
In the fight of the above statements choose the most appropriate answer from the options given
below:
A    Both Statement I and Statement II are correct
B    Both Statement I and Statement II are incorrect
C    Statement I is correct but Statement II is incorrect
D    Statement I is incorrect but Statement II is correct
A n s w e r : E
Explanation:
This question is not clear and is officially removed from CMAT 2023 paper.
7. If M, A and T ate distinct positive integers such that M  A  T = 1947, then which of the following
is the maximum possible value of M + A + T?
A    189
B    649
C    653
D    1949
A n s w e r : C
Explanation:
1947 =  = 
Maximum value of M + A + T = 1 + 3 + 649 = 653
The answer is option C.
8. Let S(n) represents the sum of digits of a natural number n. For example, S(128)= 1 + 2 + 8 =
11. What is the value of )?
A    9
B    11
10
3
10
3
× ×
1 × 3 × 649 3 × 11 × 59
M × A × T = 1 × 3 × 649 = 3 × 11 × 59
S(2 ×
6
3 ×
4
5
5
  
.
C    
14
D    10
A n s w e r : A
Explanation:
 = 
S( ) = S(16200000) = 9
The answer is option A.
9. Given below are two statements: 
Statement I : A bag captains 10 white and 10 red face masks which are all mixed up. The fewest
number of face masks you can take from a bag without looking and be sure to get a pair of the same
color is 3. 
Statement II: The minimum number of students needed in a class to guarantee that there are at least
6 students whose birthdays fall in the same month, is 61. 
In the light of the above statements, choose the most appropriate answer from the option given
below:
A    Both Statement I and Statement II are correct
B    Both Statement I and Statement II are incorrect
C    Statement I is correct but Statement II is incorrect
D    Statement I is incorrect but Statement II is correct
A n s w e r : A
Explanation:
Statement 1 
After drawing 3 masks, there can be 2 combinations possible -All three are of same color or two are of
same color and 1 is of different color. Hence we can ensure that we can get two masks of same color after
drawing 3 masks, randomly. 
If we draw less than 3 masks i.e. 2 masks , there is a possibility of both the masks being of different color
hence we can't ensure that these masks can be of different color, hence the minimum number of masks we
need to draw is 3. 
Statement 2 
To calculate the minimum number of students required, we need to consider the worst case scenario i.e.
the birthdays of students are evenly spread across all the 12 months. We'll have to assume that there are
atleast 5 birthday is each month, so the total number of students required = 5* 12 = 60. To assure that there
is 1 month in which we have 6 birthdays, we'll have to add 1 to this number, hence the minimum number of
students required = 60 + 1 = 61 
10. A and B started a business with investment of ? 4500 and ? 2700 respectively. 
Find the share of profit of A in the total annual profit of ? 256.
A    
?170
2 ×
6
3 ×
4
5 =
5
2 × 5 × ( )
5
2 × 3
4
16200000
2 ×
6
3 ×
4
5
5
  
.