Data Sufficiency: MAH CET, NMAT and SNAP practice questions
20 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
Exam:
Q1LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. What is the value of x?
I. x is even and y is odd.
II. x − y = 7.
Solution
I alone allows (2, 1), (2, 3), (2, 5), (2, 7), (2, 9), …: 100 pairs fit and the answer varies.
II alone allows (8, 1), (9, 2), (10, 3), (11, 4), (12, 5), …: 13 pairs fit and the answer varies.
Together they allow (8, 1), (10, 3), (12, 5), (14, 7), (16, 9), …: 7 pairs fit and the answer varies.
Answer: The two statements together are not sufficient.
Answer: (E) The two statements together are not sufficient
Q2LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. Is x greater than y?
I. y = 5.
II. x = 4y.
Solution
I alone allows (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), …: 20 pairs fit and the answer varies.
II alone allows (4, 1), (8, 2), (12, 3), (16, 4), (20, 5): the answer is always Yes.
Answer: Statement II alone is sufficient, but statement I alone is not.
Answer: (B) Statement II alone is sufficient, but statement I alone is not
Q3LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 40. Is x divisible by 2?
I. x is even.
II. x is a multiple of 4.
Solution
From I alone, x can be 2, 4, 6, 8, 10, 12, 14, 16, …: the answer is always Yes.
From II alone, x can be 4, 8, 12, 16, 20, 24, 28, 32, …: the answer is always Yes.
Answer: Each statement alone is sufficient.
Answer: (C) Each statement alone is sufficient
Q4LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. Is x greater than y?
I. x − y = 4.
II. x + 2y = 16.
Solution
I alone allows (5, 1), (6, 2), (7, 3), (8, 4), (9, 5), …: the answer is always Yes.
II alone allows (2, 7), (4, 6), (6, 5), (8, 4), (10, 3), …: 7 pairs fit and the answer varies.
Answer: Statement I alone is sufficient, but statement II alone is not.
Answer: (A) Statement I alone is sufficient, but statement II alone is not
Q5LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. What is the value of x?
I. x > y.
II. x is even and y is odd.
Solution
I alone allows (2, 1), (3, 1), (3, 2), (4, 1), (4, 2), …: 190 pairs fit and the answer varies.
II alone allows (2, 1), (2, 3), (2, 5), (2, 7), (2, 9), …: 100 pairs fit and the answer varies.
Together they allow (2, 1), (4, 1), (4, 3), (6, 1), (6, 3), …: 55 pairs fit and the answer varies.
Answer: The two statements together are not sufficient.
Answer: (E) The two statements together are not sufficient
Q6LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 40. Is x divisible by 4?
I. x is a multiple of 5.
II. x is a multiple of 3.
Solution
From I alone, x can be 5, 10, 15, 20, 25, 30, 35: the answer is not fixed.
From II alone, x can be 3, 6, 9, 12, 15, 18, 21, 24, …: the answer is not fixed.
Using both, x can be 15, 30: the answer is always No.
Answer: Both statements together are sufficient, but neither alone is.
Answer: (D) Both statements together are sufficient, but neither alone is
Q7LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. Is x greater than y?
I. x > y.
II. y = 4.
Solution
I alone allows (2, 1), (3, 1), (3, 2), (4, 1), (4, 2), …: the answer is always Yes.
II alone allows (1, 4), (2, 4), (3, 4), (4, 4), (5, 4), …: 20 pairs fit and the answer varies.
Answer: Statement I alone is sufficient, but statement II alone is not.
Answer: (A) Statement I alone is sufficient, but statement II alone is not
Q8LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. Is x greater than y?
I. x = 4y.
II. x + 2y = 30.
Solution
I alone allows (4, 1), (8, 2), (12, 3), (16, 4), (20, 5): the answer is always Yes.
II alone allows (2, 14), (4, 13), (6, 12), (8, 11), (10, 10), …: 10 pairs fit and the answer varies.
Answer: Statement I alone is sufficient, but statement II alone is not.
Answer: (A) Statement I alone is sufficient, but statement II alone is not
Q9LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 30. Is x divisible by 2?
I. x is a multiple of 8.
II. x is a multiple of 6.
Solution
From I alone, x can be 8, 16, 24: the answer is always Yes.
From II alone, x can be 6, 12, 18, 24: the answer is always Yes.
Answer: Each statement alone is sufficient.
Answer: (C) Each statement alone is sufficient
Q10LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 40. Is x divisible by 2?
I. x is a multiple of 4.
II. x is a multiple of 6.
Solution
From I alone, x can be 4, 8, 12, 16, 20, 24, 28, 32, …: the answer is always Yes.
From II alone, x can be 6, 12, 18, 24, 30, 36: the answer is always Yes.
Answer: Each statement alone is sufficient.
Answer: (C) Each statement alone is sufficient
Q11LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. Is x greater than y?
I. xy = 30.
II. x > y.
Solution
I alone allows (2, 15), (3, 10), (5, 6), (6, 5), (10, 3), …: 6 pairs fit and the answer varies.
II alone allows (2, 1), (3, 1), (3, 2), (4, 1), (4, 2), …: the answer is always Yes.
Answer: Statement II alone is sufficient, but statement I alone is not.
Answer: (B) Statement II alone is sufficient, but statement I alone is not
Q12LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. Is x greater than y?
I. x > y.
II. x − y = 4.
Solution
I alone allows (2, 1), (3, 1), (3, 2), (4, 1), (4, 2), …: the answer is always Yes.
II alone allows (5, 1), (6, 2), (7, 3), (8, 4), (9, 5), …: the answer is always Yes.
Answer: Each statement alone is sufficient.
Answer: (C) Each statement alone is sufficient
Q13LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. What is the value of x?
I. x is even and y is odd.
II. x > y.
Solution
I alone allows (2, 1), (2, 3), (2, 5), (2, 7), (2, 9), …: 100 pairs fit and the answer varies.
II alone allows (2, 1), (3, 1), (3, 2), (4, 1), (4, 2), …: 190 pairs fit and the answer varies.
Together they allow (2, 1), (4, 1), (4, 3), (6, 1), (6, 3), …: 55 pairs fit and the answer varies.
Answer: The two statements together are not sufficient.
Answer: (E) The two statements together are not sufficient
Q14LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 50. Is x greater than 20?
I. x < 11.
II. x leaves remainder 2 when divided by 9.
Solution
From I alone, x can be 1, 2, 3, 4, 5, 6, 7, 8, …: the answer is always No.
From II alone, x can be 2, 11, 20, 29, 38, 47: the answer is not fixed.
Answer: Statement I alone is sufficient, but statement II alone is not.
Answer: (A) Statement I alone is sufficient, but statement II alone is not
Q15LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x and y are positive integers, each at most 20. Is x greater than y?
I. x = 3y.
II. x > y.
Solution
I alone allows (3, 1), (6, 2), (9, 3), (12, 4), (15, 5), …: the answer is always Yes.
II alone allows (2, 1), (3, 1), (3, 2), (4, 1), (4, 2), …: the answer is always Yes.
Answer: Each statement alone is sufficient.
Answer: (C) Each statement alone is sufficient
Q16LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 40. Is x greater than 29?
I. x > 32.
II. x is a prime number.
Solution
From I alone, x can be 33, 34, 35, 36, 37, 38, 39: the answer is always Yes.
From II alone, x can be 2, 3, 5, 7, 11, 13, 17, 19, …: the answer is not fixed.
Answer: Statement I alone is sufficient, but statement II alone is not.
Answer: (A) Statement I alone is sufficient, but statement II alone is not
Q17LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 40. What is the value of x?
I. The digits of x add up to 7.
II. x < 16.
Solution
From I alone, x can be 7, 16, 25, 34: the answer is not fixed.
From II alone, x can be 1, 2, 3, 4, 5, 6, 7, 8, …: the answer is not fixed.
Using both, x can be 7: the answer is always 7.
Answer: Both statements together are sufficient, but neither alone is.
Answer: (D) Both statements together are sufficient, but neither alone is
Q18LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 40. Is x divisible by 5?
I. x is a multiple of 8.
II. x^2 − 50x + 624 = 0.
Solution
From I alone, x can be 8, 16, 24, 32: the answer is always No.
From II alone, x can be 24, 26: the answer is always No.
Answer: Each statement alone is sufficient.
Answer: (C) Each statement alone is sufficient
Q19LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 50. Is x divisible by 5?
I. x is a multiple of 6.
II. x is a multiple of 8.
Solution
From I alone, x can be 6, 12, 18, 24, 30, 36, 42, 48: the answer is not fixed.
From II alone, x can be 8, 16, 24, 32, 40, 48: the answer is not fixed.
Using both, x can be 24, 48: the answer is always No.
Answer: Both statements together are sufficient, but neither alone is.
Answer: (D) Both statements together are sufficient, but neither alone is
Q20LR · Data SufficiencyMAH CETNMATSNAP
Each question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
x is a positive integer less than 30. Is x divisible by 4?
I. x is a multiple of 9.
II. x is odd.
Solution
From I alone, x can be 9, 18, 27: the answer is always No.
From II alone, x can be 1, 3, 5, 7, 9, 11, 13, 15, …: the answer is always No.
Answer: Each statement alone is sufficient.
Answer: (C) Each statement alone is sufficient
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, NMAT, SNAP or CAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
