# Data Sufficiency Questions — Free Timed Practice | Quant Daily > Practise data sufficiency questions free and timed: two statements, five choices, a server clock. Worked solutions. GMAT Practice. Not affiliated with GMAC. Source: https://quantdaily.app/drill-types/data-sufficiency --- GMAT Data Sufficiency ## Data sufficiency questions — test each statement before you solve Data sufficiency questions give a prompt and two numbered statements, then ask whether (1) alone, (2) alone, both together, each alone, or neither is enough to answer. You do not need the number when you can show the statements pin one value, or that they leave more than one. The printed domain is part of the problem: only integers inside the stated bounds count. Not affiliated with ETS or GMAC. The five choices are fixed. Statement (1) alone, statement (2) alone, both together, each alone, or neither. A value question is sufficient only when one number survives. A yes-or-no question is sufficient when every remaining integer gives the same answer, yes or no. Not affiliated with ETS or GMAC. **Try it against the clock.** Data Sufficiency runs at 90s easy, 105s medium and 120s hard. The clock is stamped and judged on our server, so the limit you see is the deadline that is actually enforced — and it starts when you tap Start, not while the question is loading. This format is on GMAT Practice, not GRE Practice. A guest opens on GRE, so this page does not auto-start the drill. Switch to GMAT in Settings to drill it. The shared daily does not include it. Not affiliated with ETS or GMAC. [Open Quant Daily — Data Sufficiency is on GMAT Practice, not GRE Practice](https://quantdaily.app/?src=seo-data-sufficiency) ### How to solve data sufficiency questions by testing each statement - Read the question type first A value question wants one number. A yes-or-no question wants one answer, and either answer counts when every remaining integer agrees. - Test statement (1) on its own Ignore statement (2). If more than one integer inside the printed domain still fits, statement (1) is not sufficient. - Test statement (2) the same way Start again from the domain. A statement that only repeats the first fact adds nothing, even when the wording looks new. - Combine them only if each one failed Together is the right choice when each statement leaves more than one value and the pair leaves exactly one. If two values remain, the answer is that the statements are not sufficient. ### What each letter means | Letter | When it is the answer | | --- | --- | | A | Statement (1) alone is enough, and (2) is not | | B | Statement (2) alone is enough, and (1) is not | | C | Only the two statements together are enough | | D | Each statement alone is enough | | E | Even together, more than one answer remains | ### 3 sample data sufficiency questions, with worked solutions Generated by the same engine that mints the Quant Daily daily. Each answer is computed from the numbers printed in the question, and the walkthrough below each one is the engine's own working — not a solution written afterwards. Reload this page's live drill and you get different numbers. #### Question 1 x is an integer from −11 to 11. (1) x³ = 125. (2) |x| = 5. What is the value of x? - Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. - Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. - BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. - EACH statement ALONE is sufficient. - Statements (1) and (2) TOGETHER are NOT sufficient. - x is an integer from −11 to 11. Those 23 cases do not all give the same answer (−11, −10, −9), so the question is still open. - Statement (1) alone leaves 1 case, and every one answers 5, so it is sufficient. - Statement (2) alone leaves 2 cases with more than one answer (−5, 5), so it is not sufficient. - Both statements together leave 1 case, and every one answers 5, so it is sufficient. - Answer: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. #### Question 2 x is an integer from 1 to 48. (1) x divided by 24 leaves a remainder of 0. (2) x is divisible by 2. What is the remainder when x is divided by 12? - Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. - Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. - BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. - EACH statement ALONE is sufficient. - Statements (1) and (2) TOGETHER are NOT sufficient. - x is an integer from 1 to 48. Those 48 cases do not all give the same answer (0, 1, 2), so the question is still open. - Statement (1) alone leaves 2 cases, and every one answers 0, so it is sufficient. - Statement (2) alone leaves 24 cases with more than one answer (0, 2, 4), so it is not sufficient. - Both statements together leave 2 cases, and every one answers 0, so it is sufficient. - Answer: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. #### Question 3 x is an integer from 1 to 34. (1) x divided by 12 leaves a remainder of 7. (2) x divided by 8 leaves a remainder of 7. What is the remainder when x is divided by 24? - Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. - Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. - BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. - EACH statement ALONE is sufficient. - Statements (1) and (2) TOGETHER are NOT sufficient. - x is an integer from 1 to 34. Those 34 cases do not all give the same answer (0, 1, 2), so the question is still open. - Statement (1) alone leaves 3 cases with more than one answer (7, 19), so it is not sufficient. - Statement (2) alone leaves 4 cases with more than one answer (7, 15, 23), so it is not sufficient. - Both statements together leave 2 cases, and every one answers 7, so it is sufficient. - Answer: BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. ### Common mistakes this drill is built from The wrong options are not random numbers. Each one is the result of a specific careless error for this topic, so picking one tells you which habit is costing you marks. #### Solving for the number before judging sufficiency The letter is the pattern of the four results, not the value of x. Finding x and then picking a value that is not among the choices wastes the clock. #### Treating a yes-or-no as insufficient because the answer is no Sufficient means every remaining integer agrees. All no is as decisive as all yes. #### Accepting a statement that restates the question A line that names x directly, or a bound that is the question written again, is not a second fact. The drill rejects that shape. ### Why your answer came out wrong The specific wrong numbers this topic produces, and what each one tells you about the step you took. If you have just got a question wrong and want to know which habit did it, start here. #### Statement (1) gives two values and statement (2) gives one of them — is the answer C? No. Statement (2) already settled the question on its own, so the answer is B. C is only when each statement fails alone and the pair succeeds. Picking C after a statement that already works is the near miss. #### Both statements say x is even. Is that enough together? Two copies of one fact are still one fact. If even numbers in the domain do not all give the same answer, the statements together are not sufficient, and the letter is E. ### FAQ #### Do I have to find the value of x? Only far enough to see whether one value remains. If statement (1) already leaves a single integer, the answer is A or D, and the arithmetic can stop. The choices never ask you to report the number. #### Where does Quant Daily serve data sufficiency questions? On GMAT Practice, at 90, 105 and 120 seconds. GRE Practice does not include this kind, and the shared daily does not either. Switch to GMAT in Settings. Not affiliated with ETS or GMAC. #### What does the printed range of integers do? It is the whole domain. A statement is sufficient only for integers inside that range. A root that sits outside the range does not count, and a root the range clips can change the letter. ### Practise the next topic - [All 51 drill types](https://quantdaily.app/drill-types) — the shared daily cycles 36 of 51, with every published time limit. - [Systems of equations problems — eliminate](https://quantdaily.app/drill-types/systems-of-equations) — systems of equations problems, timed. - [Inequalities questions — isolate x](https://quantdaily.app/drill-types/inequalities) — inequalities questions, timed. - [Number properties questions — count the terms](https://quantdaily.app/drill-types/number-properties) — number properties questions, timed. - [Speed tricks](https://quantdaily.app/drill-types) — the seven mental-math shortcuts that make a 15-second answer possible. - [How to improve calculation speed](https://quantdaily.app/calculation-speed) — the six-week arc these drills fit into. Quant Daily is free, needs no account, and is not affiliated with ETS or GMAC. 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