[Download PDF] CMAT 2022 Paper with Solutions

Instructions

For the following questions answer them individually

Question 31

A device classifies numbers according to the following criteria. The number must have
(A) The number has five digits
(B) First and last digits are perfect squares.
(C) The middle digit is an odd number and it is an addition of first and last digits.
(D) Second and fourth digits are the difference between first and third digits, third and fifth digits.

Which of the following number could be correct according to the conditions given above?

Video Solution

Solution

5 digit number - _ , _ , _ , _ , _

It is given that first and last digit is a perfect square, it can be 0, 1, 4, 9

It is mentioned that middle digit is sum of first and last digits; therefore, 9 cannot be one of the digits.

1) 1 , _ , 1 , _ , 0

2) 1 , _ , 5 , _ , 4

3) 4 , _ , 5 , _ , 1

It is mentioned that the second and fourth digits are the difference between first and third digits, third and fifth digits. Therefore,

1) 1 , 0 , 1 , 1 , 0

2) 1 , 4 , 5 , 1 , 4

3) 4 , 1 , 5 , 4 , 1

Answer is option A.

Question 32

Select the pair which has following type of relationship;
Circle: Circumference

Video Solution

Solution

Circumference is perimeter of the circle. Therefore, rectangle:perimeter is the correct option.

Answer is option C.

Question 33

Find the odd one among the following:

Video Solution

Solution

Since the potato grows under the ground while the other three grow above the ground so the potato is the odd one out.

Question 34

Six students P,Q,R,S,T and U are sitting around a Hexagonal table each at one corner and facing the center of hexagon. P is second to the left of U, Q is neighbor of R and S. T is second to the left of S. Who is on the right of R?

Video Solution

Solution

It is given that,

Q is neighbour of R and S, and T is to the second left of S. Therefore, the only possible arrangement is

It is given that, P is to the second left of U.

Final arrangement:

P is to the right of R.

Answer is option B.

Question 35

Complete the sequence: 24, __, 48, 63

Video Solution

Solution

All the terms are of the form $$x^2-1$$

$$5^2-1=24$$, $$7^2-1=48$$, $$8^2-1=63$$ therefore $$6^2-1=35$$ is the correct answer.

Question 36

A is the sister of B’s father-in-law. A and C are siblings. D is the husband of B. How is D related to A?

Video Solution

Solution

It is given that A is the sister of B's father-in-law and D is B's husband so from this we can conclude that A is the sister of D's father. Therefore, A is D's aunt.

Question 37

In the following question, an assertion is followed by two reasons R1 and R2. Read the assertion and the reasons and find which of the reasons is possible.
Assertion : The 10th class result is very poor this year.
R1 : Number of students in 10th class have increased considerably
R2 : The students of 10th class belong to different sections of society.

Video Solution

Solution

None of the reasons is explaining why the 10th class result is very poor. So option C is the answer.

Question 38

Suraj walked 6 m facing towards the west, then he took a left turn and walked a distance of 8 m. He then took a right turn and walked a distance of 6 m. He then walked for 10 m in the north-east direction. Approximately, how far is he from the starting point?

Video Solution

Solution

Plotting the course taken by Suraj, we get the below figure.

Hence, the answer is option C.

Question 39

In a certain code language, ‘^’ means ‘is less than’, ‘#’ means ‘is greater than’ and ‘’ means ‘is equal to’ and given that a^b, cd, and c#b, then which of the following is true?

Video Solution

Solution

a^b means a is less than b.

c*d means c is equal to d.

c#b means c is greater than b.

So from the above statements, we can conclude that c=d > b > a.

Question 40

A,B,C,D,E and F are six members of a family. A is mother of B, who is the husband of D. F is the brother of one of the parents of C. D is the daughter in law of E and has no siblings. C is son of D. How is C related to A?

Video Solution

Solution

A is the mother of B and B is the husband of D so A is the mother-in-law of D.

D is the daughter-in-law of E which means that E is the husband of A and father of B.

C is the son of D, therefore C is the grandson of A and E.

CAT Content

CMAT 2022

Select the pair which has following type of relationship;
Circle: Circumference

Find the odd one among the following:

Six students P,Q,R,S,T and U are sitting around a Hexagonal table each at one corner and facing the center of hexagon. P is second to the left of U, Q is neighbor of R and S. T is second to the left of S. Who is on the right of R?

Complete the sequence: 24, __, 48, 63

A is the sister of B’s father-in-law. A and C are siblings. D is the husband of B. How is D related to A?

Suraj walked 6 m facing towards the west, then he took a left turn and walked a distance of 8 m. He then took a right turn and walked a distance of 6 m. He then walked for 10 m in the north-east direction. Approximately, how far is he from the starting point?

In a certain code language, ‘^’ means ‘is less than’, ‘#’ means ‘is greater than’ and ‘’ means ‘is equal to’ and given that a^b, cd, and c#b, then which of the following is true?

A,B,C,D,E and F are six members of a family. A is mother of B, who is the husband of D. F is the brother of one of the parents of C. D is the daughter in law of E and has no siblings. C is son of D. How is C related to A?

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CAT Content

CMAT 2022

Select the pair which has following type of relationship;Circle: Circumference

Find the odd one among the following:

Six students P,Q,R,S,T and U are sitting around a Hexagonal table each at one corner and facing the center of hexagon. P is second to the left of U, Q is neighbor of R and S. T is second to the left of S. Who is on the right of R?

Complete the sequence: 24, __, 48, 63

A is the sister of B’s father-in-law. A and C are siblings. D is the husband of B. How is D related to A?

Suraj walked 6 m facing towards the west, then he took a left turn and walked a distance of 8 m. He then took a right turn and walked a distance of 6 m. He then walked for 10 m in the north-east direction. Approximately, how far is he from the starting point?

In a certain code language, ‘^’ means ‘is less than’, ‘#’ means ‘is greater than’ and ‘*’ means ‘is equal to’ and given that a^b, c*d, and c#b, then which of the following is true?

A,B,C,D,E and F are six members of a family. A is mother of B, who is the husband of D. F is the brother of one of the parents of C. D is the daughter in law of E and has no siblings. C is son of D. How is C related to A?

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CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Select the pair which has following type of relationship;
Circle: Circumference

In a certain code language, ‘^’ means ‘is less than’, ‘#’ means ‘is greater than’ and ‘’ means ‘is equal to’ and given that a^b, cd, and c#b, then which of the following is true?