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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 (204 of them, from 42 exams, weighted towards Banking, Management, Civil Services) so you can drill the topic on its own instead of meeting four of them inside a full paper.

42% 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
204
Practice set
25 in 25 min
Difficulty
4/115/85
Negative marking
None
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Data Sufficiency questions with solutions

6 from the 204-question pool, worked in full.

  1. 1. Is P greater than Q? Statement I: P is thrice as large as R, and R is 12. Statement II: Q is 30.

    • 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 P = 36 but says nothing about Q. Statement II alone gives Q = 30 but says nothing about P. Combined, P = 36 > Q = 30, so both statements together are needed.

  2. 2. Who among P, Q, and R is the youngest? Statement I: P is younger than Q. Statement II: R is older than P.

    • 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 I and II together are sufficient, but neither alone is sufficient ✓
    • D. Either statement I or II alone is sufficient

    Solution. Statement I alone does not relate R. Statement II alone does not relate Q. Together: Q>P and R>P, so P is the youngest.

  3. 3. What is n? I: 3n − 5 = 16. II: n is an integer. Which statement is sufficient? / n क्या है? I: 3n − 5 = 16। II: n पूर्णांक है। कौन-सा कथन पर्याप्त है?

    • A. Statement I alone / केवल कथन I ✓
    • B. Statement II alone / केवल कथन II
    • C. Both together are necessary / दोनों साथ आवश्यक हैं
    • D. Neither even together / दोनों साथ भी अपर्याप्त हैं

    Solution. Statement I directly gives n = 7; Statement II alone does not identify n. / कथन I से सीधे n = 7 मिलता है; कथन II अकेला n निर्धारित नहीं करता।

  4. 4. What is the value of a certain two-digit number? Statement I: The number is a multiple of 17 and lies between 30 and 40. Statement II: The sum of the digits of the number is 8.

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

    Solution. Statement I alone: the only multiple of 17 between 30 and 40 is 34, so it is sufficient by itself. Statement II alone allows many two-digit numbers with digit sum 8 (17, 26, 35, 44, ...), so it is not sufficient alone.

  5. 5. How many students are in the class? Statement I: If the students are seated four to a bench, three students are left standing. Statement II: The class has fewer than 40 students and seating them five to a bench leaves none standing.

    • A. Statement I alone is sufficient
    • B. Statement II alone is sufficient
    • C. Both together are still insufficient ✓
    • D. Both together are sufficient

    Solution. Together the statements allow 15 and 35, since both leave three over in fours and divide exactly by five, so the number is still not fixed.

  6. 6. What is the length of a wire? Statement I: Its resistance is 8 ohms. Statement II: Its resistance per metre is 2 ohms/m.

    • A. Statement I alone is sufficient
    • B. Statement II alone is sufficient
    • C. Both statements together are needed ✓
    • D. Neither statement is sufficient

    Solution. Statement I alone gives only total resistance, and Statement II alone gives only resistance per metre; both are needed together to compute length = total resistance / resistance per metre = 8/2 = 4 metres.

Exams that set Data Sufficiency

12 categories, led by Banking, Management, Civil Services.

    Drawn from AFCAT, ATIT, CA Foundation, DSSSB TGT, IBPS Clerk, IBPS PO, IBPS RRB Office Assistant, IBPS RRB Officer Scale I, IBPS SO, IBSAT, IPMAT Rohtak, Kerala MCA, KVS PRT, LIC AAO, MAH MBA CET, MAH MCA CET, MAT, MH CET Law, MH CET Law (3-Year LLB), MICAT, MPPSC SSE, NABARD Grade A, NCHM JEE, NIACL AO, NIFT, NVS TGT, OPSC OCS, RBI Assistant, RBI Grade B, RRB NTPC, SBI Clerk, SBI PO, SEBI Grade A, SIDBI Grade A & B, SLAT, SNAP, SSC CGL, SSC CHSL, TANCET MBA, UPPSC PCS, UPSC CSE, VITEEE. Browse all exams.

    Data Sufficiency: frequently asked questions

    How many data sufficiency questions are there?

    204, from the 42 exams here whose syllabus sets the topic. 2% are graded easy and 42% hard, which makes data sufficiency one of the harder topics in this section, against a 17% average.

    Which exams ask data sufficiency questions?

    42 of the exams on this site, weighted towards Banking (14), Management (7), Civil Services (4). 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?

    42% of these 204 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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