Drill types

Quantitative aptitude questions with answers — all 51 drills, and exactly how long you get

These are quantitative aptitude questions with answers you solve against a clock rather than read. Forty-four exam-quant kinds cover GRE/GMAT-style problem solving, data interpretation and Quantitative Comparison, plus seven speed tricks that make the arithmetic fast enough to finish. Every question is generated fresh and its answer computed from the printed numbers, so nothing repeats and every round ends in a worked solution.

Quant Daily serves one drill kind a day at three difficulties, the shared daily cycles 36 of 51 on every track — and you can drill any kind your track shows. GRE and GMAT Practice are track-aware: GRE Practice hides five bank-exam formats, Data Sufficiency, table analysis, two-part analysis, graphics interpretation, and multi-source reasoning (41 of 51). GMAT Practice hides the five bank-exam formats plus Quantitative Comparison, text geometry, mensuration, coordinate geometry, select-all, and chart data interpretation (39 of 51). Other shows all 51. Table DI stays on every track. Clocks: 15–70s speed tricks, 75s QC, 90–120s exam-quant. Every limit is published here: the limit you see in the app is the deadline our server enforces.

Practise a topic in depth

These pages carry real worked examples, the method, and the mistakes the wrong options are built from — then hand you the live timed drill for that topic.

• Profit and loss questions — cost price, selling price, markup and successive discounts.
• Time and work questions — the LCM-units method, efficiency ratios, pipes and leaks.
• Average questions — the total-first method and the change-in-average pattern.
• Time speed and distance questions — relative speed, trains, boats and streams.
• Percentage questions — the fraction table that speeds up half the section.
• Data interpretation questions — read the table and its units before computing; let the option spread set the precision.
• Caselet DI questions — the data is a paragraph; build the table first, then answer all five from it.
• Simplification questions — BODMAS in the real order: 48 ÷ 6 × 2 is 16, not 4.
• Simple and compound interest questions — the two-year gap is always P × R² ÷ 10000.
• Quadratic equation questions — compare every root against every root, and answer "no relation" when they disagree.
• Mensuration questions — curved versus total surface area, and scaling by k² / k³ instead of recomputing.
• Boat and stream questions — the boat's speed is the average of the two speeds, never of the two times.
• Permutation and combination questions — one swap test decides which formula applies.
• Probability questions — favourable over total, counted consistently; "at least one" is 1 − P(none).
• Square root and cube root questions — read the root off the last digit instead of dividing.
• Fast calculation questions — round and adjust, split the multiplier, work left to right.

Algebra, geometry and data — one page each

The exam-quant kinds a GRE or GMAT paper leans on. Same shape as the pages above: the method, worked examples minted by the live engine, and the mistakes the wrong options are built from.

• Algebra word problems — name the unknown, then translate one clause at a time.
• Systems of equations problems — eliminate a variable, then check which one the question wanted.
• Data sufficiency questions — two statements, five choices, GMAT Practice only.
• Quadratic word problems — factor first; the two roots are rarely both the answer.
• Inequalities questions — the sign flips when you multiply or divide by a negative.
• Absolute value questions — every equation splits into two cases, and both need checking.
• Exponent rules practice — add exponents to multiply, subtract to divide, multiply to raise a power.
• Function notation problems — substitute, compose inside-out, invert by solving backwards.
• Arithmetic and geometric sequences — the nth term is n − 1 steps from the first, not n.
• Geometry questions — stated in words, no diagram; recognise the triple before you square anything.
• Mean median mode questions — sort first, and know which measures a shift leaves untouched.
• Venn diagram problems — inclusion-exclusion: the overlap comes off exactly once.
• Number properties questions — parity, divisibility and remainders without listing the multiples.
• GRE quantitative comparison — the same four options every time, and when "cannot be determined" is right.
• Ratio word problems — one part is the unit; find it before answering.
• Mixture problems — alligation, and the component that never moved.
• GCF and LCM problems — GCF × LCM equals the product of the two numbers.

The speed tricks, one page each

The mental-math shortcuts that make a 15-second answer possible. Each page works the method step by step, then hands you the live timed drill for it.

• One-line multiply — the method that works on any pair, plus the ×11 shortcut.
• Square shortcuts — numbers ending in 5, and numbers near a round base.
• Near-base multiply — two numbers near a base, in two steps: 97 × 96 = 9312.
• Pairs that multiply fast — same leading part, units summing to ten: 43 × 47 = 2021 in one step.
• Midpoint multiply — equally spaced about a midpoint: 47 × 53 = 50² − 3² = 2491.
• Fast divide by 11 — bring down the first digit, then subtract the previous quotient digit at each step: 1364 ÷ 11 = 124.
• Half-base multiply — cross-add the deviations, then rescale by dividing by 2: 54 × 56 = 3024.

Looking for number series? That is a pattern-recognition kind rather than a calculation kind, so it is not in this library.

Speed tricks — 7 technique drills

These are the shortcuts a timed paper never teaches you. Each walkthrough shows the fast method, never long multiplication — the method is the product. All 51 kinds with time limits →

Exam quant — 44 paper drills (including QC)

These are the question types a GRE/GMAT-style quant section actually asks, plus Quantitative Comparison. Each is a separate drill kind on purpose: the app times you per kind, so "you are slowest at time & work" is a thing you can find out and fix, rather than a vague sense that quant is hard. On Quant Daily, exam-quant clocks are 90–120 seconds (QC is 75s). Speed Arithmetic and Squares, Cubes & Roots stay on the speed-trick 15–70s band.

Calculation speed

Question types the paper asks

GRE/GMAT exam-quant additions

Twenty-six Quant Daily–introduced kinds plus two shared unhides (ratio, GCD/LCM). Quantitative Comparison is 75 seconds at every difficulty, Table Analysis and Multi-Source Reasoning 150 / 180 / 210, Two-Part Analysis, Graphics Interpretation and Select All That Apply 120 / 150 / 180, Chart Data Interpretation 90 / 120 / 150; the rest are 90 / 105 / 120. Every kind below except Coordinate Geometry, Percentiles & Quartiles, Table Analysis, Two-Part Analysis, Graphics Interpretation, Multi-Source Reasoning, Select All That Apply and Chart Data Interpretation has a live drill link, and all but Integer Counting, Nonlinear Functions, Weighted Average, Coordinate Geometry, Percentiles & Quartiles, Table Analysis, Two-Part Analysis, Graphics Interpretation, Multi-Source Reasoning, Select All That Apply and Chart Data Interpretation have a dedicated topic page. Data Sufficiency, Table Analysis, Two-Part Analysis, Graphics Interpretation and Multi-Source Reasoning are GMAT and Other Practice only and are not on the shared daily; Integer Counting, Nonlinear Functions and Weighted Average are Practice only; Coordinate Geometry, Percentiles & Quartiles, Select All That Apply and Chart Data Interpretation are GRE and Other Practice only (GMAT Practice hides them, and none is on the shared daily), so their links open the app rather than a drill.

How the questions are made

Every drill is generated fresh and verified by machine before it is served — the answer is computed from the printed expression, not written by hand, and the counting kinds are re-checked by enumeration in our test suite. That is why the questions do not repeat and cannot be memorised, and why we can publish a time limit and mean it.

The wrong options are built from the classic careless errors for that specific kind. Picking one is diagnostic: it tells you which habit is costing you marks.