# Quantitative Aptitude Questions with Answers | 23 Free Timed Drills

> Free GRE/GMAT-style quantitative aptitude questions with answers: 23 timed exam-quant and speed-trick drills with worked solutions.

Source: https://quantdaily.app/drill-types

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Drill types

## Quantitative aptitude questions with answers — all 23 drills, and exactly how long you get

These are quantitative aptitude questions with answers you solve against a clock rather than read. Sixteen drill kinds cover GRE/GMAT-style exam quant, 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, rotating through all 23 kinds below — and you can drill any of them on demand, as often as you like. Every time limit is published here: nothing about the clock is a surprise, and the limit you see in the app is the deadline our server enforces.

**Two paths, one daily.** **Speed tricks** is the technique curriculum — seven mental-math shortcuts that make a 15-second answer physically possible. **Exam quant** is the paper itself — sixteen drills that map to GRE/GMAT-style problem solving and data interpretation. The rotation interleaves both, so a week gives you technique and application rather than one of them seven times.

**Every drill name below is a link.** Tap one and it opens on that kind straight away — no waiting for it to come round in the rotation.

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

### 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](https://quantdaily.app/drill-types/one-line-multiply) — the method that works on any pair, plus the ×11 shortcut.
- [Square shortcuts](https://quantdaily.app/drill-types/square-shortcuts) — numbers ending in 5, and numbers near a round base.
- [Near-base multiply](https://quantdaily.app/drill-types/near-base-multiply) — two numbers near a base, in two steps: 97 × 96 = 9312.
- [Pairs that multiply fast](https://quantdaily.app/drill-types/multiply-numbers-ending-in-10) — same leading part, units summing to ten: 43 × 47 = 2021 in one step.
- [Midpoint multiply](https://quantdaily.app/drill-types/difference-of-squares) — equally spaced about a midpoint: 47 × 53 = 50² − 3² = 2491.
- [Fast divide by 11](https://quantdaily.app/drill-types/divide-by-11) — bring down the first digit, then subtract the previous quotient digit at each step: 1364 ÷ 11 = 124.
- [Half-base multiply](https://quantdaily.app/drill-types/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 23 kinds with time limits →](https://quantdaily.app/drill-types)

| Drill | What it trains | Easy | Medium | Hard |
| --- | --- | --- | --- | --- |
| **Square shortcuts** | Squaring numbers ending in 5 (75² = 5625) and numbers near a base (88² = 7744). | 15s | 20s | 30s |
| **Pairs that multiply fast** | Same leading part, units adding to 10: 43 × 47 = 2021, in one step. | 15s | 20s | 30s |
| **Midpoint multiply** | Multiply through the midpoint: 47 × 53 = 50² − 3² = 2491. | 15s | 20s | 30s |
| **Near-base multiply** | Multiplying near a base using deficits: 97 × 96 = 9312 in two steps, no paper. | 20s | 25s | 35s |
| **One-line multiply** | The general one-line method that multiplies any two numbers in one pass — with × 11 as its easy variant. | 20s | 30s | 45s |
| **Fast divide by 11** | Dividing by 11: bring down the first digit, then chain each next digit minus the one before it. 1234 ÷ 11 = 112 r2. | 20s | 30s | 45s |
| **Half-base multiply** | Multiplying near working base 50: cross-add, rescale by the base's ratio, then attach the deviations' product. 46 × 48 = 2208. | 15s | 20s | 30s |

### Exam quant — 16 paper drills

These are the question types a GRE/GMAT-style quant section actually asks. 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.

#### Calculation speed

| Drill | What it trains | Easy | Medium | Hard |
| --- | --- | --- | --- | --- |
| **Speed Arithmetic** | Mixed mental arithmetic on a short clock — the warm-up that everything else sits on. | 15s | 20s | 30s |
| **Percentages** | Percentage values, increases and decreases done as fractions you already know, not long multiplication. | 20s | 30s | 40s |
| **Squares, Cubes & Roots** | The recall table every fast solver has, plus deriving what you have not memorised. | 15s | 20s | 30s |
| **Simplification (BODMAS)** | Order of operations under time pressure. The left-to-right trap is *always* planted among the options. | 20s | 30s | 45s |
| **Averages** | Means, and the change-in-average pattern where the classic error is adding the change without dividing it. | 20s | 30s | 40s |

#### Question types the paper asks

| Drill | What it trains | Easy | Medium | Hard |
| --- | --- | --- | --- | --- |
| **Quadratic Comparison** | The GRE/GMAT-style quadratic comparison set: solve for x and y, then pick the correct relation (including "no relation can be established"). | 30s | 40s | 50s |
| **Table DI** | Data interpretation from a table — the commonest DI surface on timed papers. | 40s | 50s | 65s |
| **Caselet DI** | Data interpretation from a written caselet, where half the work is extracting the numbers. | 40s | 50s | 65s |
| **Profit & Loss** | Cost price, selling price, markup and discount — including successive discounts. | 35s | 45s | 60s |
| **Simple & Compound Interest** | SI and CI, and the difference-between-the-two question that follows from them. | 40s | 50s | 65s |
| **Time & Work** | Work rates, combined work and partial work — the efficiency method rather than LCM guessing. | 45s | 55s | 70s |
| **Time, Speed & Distance** | Speed, distance, relative speed and the train problems built on them. | 40s | 50s | 65s |
| **Mensuration** | Area, perimeter and volume of the standard figures, without reaching for a formula sheet. | 35s | 45s | 60s |
| **Boats & Streams** | Upstream and downstream speeds — the pattern that is trivial once seen and slow every time it is not. | 40s | 50s | 65s |
| **Permutation & Combination** | Arrangements and selections. The nPr-for-nCr mix-up is always among the options. | 45s | 55s | 70s |
| **Probability** | Probability with exact fraction answers — no decimal rounding to hide behind. | 45s | 55s | 70s |

### 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.