Data Sufficiency # MCQs Practice set

Q.1 What is the value of x?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1 gives x + y = 10, Statement 2 gives y = 4. Combining both, x = 6.
Correct answer is: Both statements together are sufficient

Q.2 Is A taller than B?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1 says A is taller than C and C is taller than B, so A is taller than B. Statement 2 is irrelevant.
Correct answer is: Statement 1 alone is sufficient

Q.3 What is the value of p × q?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 2 gives p × q = 12 directly, making statement 1 unnecessary.
Correct answer is: Statement 2 alone is sufficient

Q.4 What is the capital of a certain country X?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Neither statement provides clear information about the capital of country X.
Correct answer is: Even both statements together are not sufficient

Q.5 Is number n odd?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1 says n is greater than 10, Statement 2 says n mod 2 = 1. Combining both, n is odd and >10.
Correct answer is: Both statements together are sufficient

Q.6 What is the age of Ravi?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 2 gives Ravi's age directly. Statement 1 is irrelevant alone.
Correct answer is: Statement 2 alone is sufficient

Q.7 Is triangle ABC a right-angled triangle?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1 gives sides, Statement 2 gives angles. Together they confirm a right angle.
Correct answer is: Both statements together are sufficient

Q.8 What is the sum of two numbers a and b?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1 gives a = 5, Statement 2 gives b = 7. Sum a + b = 12.
Correct answer is: Both statements together are sufficient

Q.9 Is X divisible by 3?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 2 says X = 9k, divisible by 3 directly.
Correct answer is: Statement 2 alone is sufficient

Q.10 Who among P, Q, R scored the highest?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: P > Q, Statement 2: Q > R. Combining, P > Q > R. P scored highest.
Correct answer is: Both statements together are sufficient

Q.11 Is the number x positive?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: |x| = 5, Statement 2: x > 0. Together x = 5, positive.
Correct answer is: Both statements together are sufficient

Q.12 Can we find the value of y?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Neither statement gives enough info to determine y.
Correct answer is: Even both statements together are not sufficient

Q.13 Is the given series in ascending order?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1 provides full series, allowing determination of order.
Correct answer is: Statement 1 alone is sufficient

Q.14 What is the product of two numbers x and y?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: x = 4, Statement 2: y = 3, so x × y = 12.
Correct answer is: Both statements together are sufficient

Q.15 Is person A eligible for promotion?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statements only provide partial info about A's performance; eligibility cannot be determined.
Correct answer is: Even both statements together are not sufficient

Q.16 Is the sum of numbers p, q, r divisible by 5?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: p+q divisible by 5, Statement 2: r divisible by 5. Sum divisible by 5.
Correct answer is: Both statements together are sufficient

Q.17 What is the distance between A and B?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 2 gives the distance directly. Statement 1 is irrelevant alone.
Correct answer is: Statement 2 alone is sufficient

Q.18 Is triangle PQR equilateral?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: All sides equal, Statement 2: All angles 60°. Together confirm equilateral triangle.
Correct answer is: Both statements together are sufficient

Q.19 Who scored least among X, Y, Z?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: X < Y, Statement 2: Y < Z. Combining, X scored least.
Correct answer is: Both statements together are sufficient

Q.20 Is number n divisible by 4?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 2 gives n = 8k, divisible by 4 directly.
Correct answer is: Statement 2 alone is sufficient

Q.21 Can we find the exact age of Ravi?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: Ravi is 2 years older than S, Statement 2: S = 20. Together Ravi = 22.
Correct answer is: Both statements together are sufficient

Q.22 Is number x negative?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1 gives |x|=5, Statement 2 says x ≠ 5. Cannot determine if negative or positive.
Correct answer is: Even both statements together are not sufficient

Q.23 Is the company profit increasing?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statements give profit for different years, trend cannot be confirmed.
Correct answer is: Even both statements together are not sufficient

Q.24 What is the speed of the train?

Statement 1 alone is sufficient
Statement 2 alone is sufficient
Both statements together are sufficient
Even both statements together are not sufficient
Explanation - Statement 1: Distance = 120 km, Statement 2: Time = 2 hours. Speed = distance/time = 60 km/h.
Correct answer is: Both statements together are sufficient