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Reasoning practice

Data Sufficiency Questions with Answers

Judging whether the statements are enough to answer — without wasting time actually answering. This page pools every data sufficiency question on the site — 157 of them, from 32 exams, weighted towards Banking, Management, Design, Fashion & Hospitality — so you can drill the topic on its own instead of meeting four of them inside a full paper.

47% of the pool is graded hard on this site’s own scale and 2% easy, which is harder than the average topic in this section.

Questions
157
Practice set
25 in 25 min
Difficulty
3/80/74
Negative marking
None
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Data Sufficiency questions with solutions

6 from the 157-question pool, worked in full.

  1. 1. Determine whether the two statements are sufficient to identify the positive integer n. (1) n^2 < 30. (2) n is a multiple of 4.

    • A. Statement 1 alone is sufficient
    • B. Statement 2 alone is sufficient
    • C. Either statement alone is sufficient
    • D. Both statements together are sufficient, but neither alone is sufficient ✓

    Solution. Statement 1 allows n=1,2,3,4,5. Statement 2 allows many positive multiples of 4. Together the only possibility is n=4.

  2. 2. What is the interest rate on a fixed deposit? Statement I: A deposit of ₹50,000 earns ₹6,000 as simple interest in 2 years. Statement II: The deposit doubles in 16.67 years at the same rate.

    • A. Statement I alone is sufficient
    • B. Statement II alone is sufficient
    • C. Both statements together are needed
    • D. Either statement alone is sufficient ✓

    Solution. Statement I alone gives rate = (6,000×100)/(50,000×2) = 6%. Statement II alone: for the sum to double, rate = 100/16.67 ≈ 6%. Either statement alone is sufficient.

  3. 3. Is X greater than Y? Statement I: X is twice as large as Z, and Z is 15. Statement II: Y is 25.

    • A. Statement I alone is sufficient
    • B. Statement II alone is sufficient
    • C. Both statements together are needed ✓
    • D. Either statement alone is sufficient

    Solution. Statement I alone gives X = 30 but says nothing about Y. Statement II alone gives Y = 25 but says nothing about X. Combined, X = 30 > Y = 25, so both statements together are needed.

  4. 4. Who is older, X or Y? Statement I: X is older than Z. Statement II: Y is younger than Z.

    • A. Statement II alone is sufficient
    • B. Both statements together are still not sufficient
    • C. Both statements together are sufficient, but neither alone ✓
    • D. Statement I alone is sufficient

    Solution. Neither statement alone compares X and Y directly. Combined, X > Z and Y < Z together give X > Z > Y, so X is definitely older than Y — sufficient only when both are used together.

  5. 5. What is the value of a? Statement I: a squared = 81. Statement II: a = 9.

    • A. Statement I alone is sufficient, but Statement II alone is not sufficient
    • B. Statement II alone is sufficient, but Statement I alone is not sufficient ✓
    • C. Both statements together are sufficient, but neither alone is sufficient
    • D. Neither statement is sufficient, even when combined

    Solution. Statement I alone gives a = 9 or a = -9 (not sufficient). Statement II alone directly states a = 9 (sufficient).

  6. 6. Is the integer n divisible by 5? Statement I: n ends in the digit 5. Statement II: n is an odd number.

    • A. Statement I alone is sufficient, but Statement II alone is not sufficient ✓
    • B. Statement II alone is sufficient, but Statement I alone is not sufficient
    • C. Both statements together are sufficient, but neither alone is sufficient
    • D. Neither statement is sufficient, even when combined

    Solution. Statement I alone confirms divisibility by 5 directly (any number ending in 5 is divisible by 5). Statement II alone only says n is odd, which does not determine divisibility by 5 (not sufficient).

Exams that set Data Sufficiency

9 categories, led by Banking, Management, Design, Fashion & Hospitality.

Also set by MAT, MICAT, NABARD Grade A, NCHM JEE, NIACL AO, NIFT, RBI Assistant, RBI Grade B, RRB NTPC, SBI Clerk, SBI PO, SEBI Grade A, SIDBI Grade A & B, SLAT, SNAP, SSC CGL, SSC Selection Post, TANCET MBA, UPSC CSE, VITEEE. Browse all exams.

Data Sufficiency: frequently asked questions

How many data sufficiency questions are there?

157, from the 32 exams here whose syllabus sets the topic. 2% are graded easy and 47% hard, which makes data sufficiency one of the harder topics in this section, against a 17% average.

Which exams ask data sufficiency questions?

32 of the exams on this site, weighted towards Banking (14), Management (7), Design, Fashion & Hospitality (2). Every question in this pool comes from one of their own mock tests, so the list below is the honest answer to whether the topic is worth your time.

Is data sufficiency hard?

47% of these 157 questions are graded hard and 2% easy, making it one of the harder topics in this section, against a 17% average.

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