Quantitative Aptitude | Questions
Data Sufficiency questions with solutions
Data Sufficiency is a Quantitative Aptitude topic for competitive exams. It is tested in IBPS RRB PO, IBPS SO, IBPS Clerk, SBI Clerk and other exams. This page has 9 solved data sufficiency questions written to the official pattern, with a worked solution under each.
- Question 1Moderate
What is the area of a square? Statement I: The length of its side is 8 cm. Statement II: Its perimeter is 32 cm.
- A.Statement I alone is sufficient, but statement II alone is not
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficientCorrect
- D.Both statements together are sufficient, but neither alone is sufficient
- E.The statements even together are not sufficient
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Statement I gives the side as 8, so the area is 64 square cm. Statement II gives the perimeter as 32, so the side is 32 / 4 = 8 and the area is again 64. Each statement alone is sufficient.
- Question 2Moderate
On which day of the week is the review meeting scheduled? Statement I: The meeting is not on a weekend. Statement II: The meeting is on the day immediately after Tuesday.
- A.Statement I alone is sufficient, but statement II alone is not
- B.Statement II alone is sufficient, but statement I alone is notCorrect
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficient
- E.The statements even together are not sufficient
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Statement I only rules out Saturday and Sunday, leaving five possible days, so it is not sufficient. Statement II fixes the day as Wednesday, the day immediately after Tuesday, which is sufficient on its own.
- Question 3Moderate
What is the speed of a train? Statement I: The train crosses a pole in 15 seconds. Statement II: The train is 300 metres long.
- A.Statement I alone is sufficient, but statement II alone is not
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficientCorrect
- E.The statements even together are not sufficient
Show solution
Speed is distance over time. Statement I gives only the time and statement II only the length, so neither alone is enough. Together, crossing a pole means covering the train's own length, giving 300 / 15 = 20 metres per second. Both are needed.
- Question 4Moderate
What is the area of the rectangle? Statement I: Its length is 12 cm and its breadth is 5 cm. Statement II: Its perimeter is 34 cm.
- A.Statement I alone is sufficient, but statement II alone is notCorrect
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficient
- E.The statements even together are not sufficient
Show solution
Statement I gives both sides, so the area is 12 x 5 = 60 square cm, which is sufficient. Statement II gives only the perimeter, so length plus breadth is 17, but many pairs such as 12 and 5 or 10 and 7 fit and give different areas. So statement I alone is sufficient and statement II alone is not.
- Question 5Moderate
How is P related to Q? Statement I: P is the son of R, who is the mother of Q. Statement II: Q is the sister of S.
- A.Statement I alone is sufficient, but statement II alone is notCorrect
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficient
- E.The statements even together are not sufficient
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Statement I says P and Q share the mother R and that P is male, so P is the brother of Q, which fully answers the question. Statement II only relates Q to S and says nothing about P, so it is not sufficient. Statement I alone is enough.
- Question 6Hard
What is the code for 'good' in a certain language? Statement I: In that language, 'good and bad' is coded as 'pa la ma'. Statement II: In that language, 'very good day' is coded as 'la ka ti'.
- A.Statement I alone is sufficient, but statement II alone is not
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficientCorrect
- E.The statements even together are not sufficient
Show solution
Neither statement alone maps a single word to a single code. Taken together, the only word common to both phrases is 'good', and the only code common to 'pa la ma' and 'la ka ti' is 'la', so 'good' is 'la'. Both statements are needed.
- Question 7Hard
What is the cost price of an article? Statement I: The article was sold for Rs 500 at a profit of 25%. Statement II: The profit earned on the article was Rs 100.
- A.Statement I alone is sufficient, but statement II alone is notCorrect
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficient
- E.The statements even together are not sufficient
Show solution
Statement I says the selling price of 500 is 125% of the cost, so the cost is 500 / 1.25 = 400, which is sufficient. Statement II gives only the profit amount with no selling or cost price to anchor it, so it is not sufficient alone.
- Question 8Hard
What is the two-digit number? Statement I: The sum of its digits is 9. Statement II: The number exceeds the number formed by reversing its digits by 27.
- A.Statement I alone is sufficient, but statement II alone is not
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficientCorrect
- E.The statements even together are not sufficient
Show solution
Statement I alone allows many numbers such as 18, 27 and 63. Statement II alone means the tens digit exceeds the units digit by 3, again many numbers. Together, the digits sum to 9 and differ by 3, giving digits 6 and 3, so the number is 63. Both are needed and neither alone is enough.
- Question 9Hard
Among five friends, who is the tallest? Statement I: A is taller than B and C. Statement II: D is taller than A but shorter than E.
- A.Statement I alone is sufficient, but statement II alone is not
- B.Statement II alone is sufficient, but statement I alone is not
- C.Each statement alone is sufficient
- D.Both statements together are sufficient, but neither alone is sufficientCorrect
- E.The statements even together are not sufficient
Show solution
Statement I only ranks A above B and C, leaving D and E unknown. Statement II gives E > D > A but says nothing about B and C. Together they give E > D > A > B and C, so E is the tallest. Both statements are needed.
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Frequently asked questions
How many Data Sufficiency questions are here?
This page shows 9 worked data sufficiency questions from a bank of 9, spanning 0 easy, 5 moderate and 4 hard. The full set is available to attempt in the timed-free practice drills and the mock tests.
Which exams ask Data Sufficiency questions?
Data Sufficiency is part of the Quantitative Aptitude syllabus for IBPS RRB PO, IBPS SO, IBPS Clerk, SBI Clerk, IBPS PO, SBI PO, RBI Assistant, RBI Grade B. Weightage varies by exam and stage — check each exam's page for its pattern.
Are these Data Sufficiency questions free, and are the answers reliable?
Yes. Every question is free, written in-house to the exam pattern rather than copied from a real paper, and the numeric answer keys are recomputed independently at build time — a wrong key fails the build rather than reaching you.