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GRE Practice Questions
Original practice questions for the GRE General Test (Educational Testing Service (ETS)), mixed across 6 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
GRE mixed practice
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Q1.PercentagesThe price of an item changes from $150 to $90. What is the percentage change?
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Answer: A — 40% decrease
Change = -60 on a base of 150: -60/150 × 100 = 40% decrease. Always divide by the ORIGINAL value.
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Q2.AlgebraSolve: x² + 10x + 21 = 0
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Answer: D — -7, -3
Find two roots with sum -10 and product 21: -3 and -7. So x² + 10x + 21 = (x + 3)(x + 7) = 0.
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Q3.Geometry & MensurationFind the distance between (2, -5) and (5, -1).
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Answer: C — 5
Distance = √((Δx)² + (Δy)²) = √(3² + 4²) = 5.
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Q4.Data InterpretationThe price of an item changes from $650 to $598. What is the percentage change?
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Answer: C — 8% decrease
Change = -52 on a base of 650: -52/650 × 100 = 8% decrease. Always divide by the ORIGINAL value.
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Q5.Probability & CombinatoricsIn how many ways can a committee of 4 be chosen from 8 people?
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Answer: D — 70
Order does not matter → combinations: 8C4 = 8! / (4!·4!) = 70.
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Q6.Vocabulary & IdiomsChoose the synonym of MITIGATE.
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Answer: D — Lessen
Mitigate means make less severe or painful.
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Q7.PercentagesThe price of an item changes from $625 to $781.25. What is the percentage change?
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Answer: D — 25% increase
Change = 156.25 on a base of 625: 156.25/625 × 100 = 25% increase. Always divide by the ORIGINAL value.
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Q8.AlgebraSolve: x² + 8x + 7 = 0
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Answer: B — -7, -1
Find two roots with sum -8 and product 7: -7 and -1. So x² + 8x + 7 = (x + 7)(x + 1) = 0.
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Q9.Geometry & MensurationFind the area of a circle of radius 3 cm.
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Answer: C — 28.27 cm²
Using πr² with π = 3.1416: 28.27 cm².
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Q10.Data InterpretationThe average of 8 numbers is 62. If 91 is added, what is the new average?
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Answer: D — 65.22
Old total = 8 × 62 = 496. New total = 496 + 91 = 587; new average = 587/9 = 65.22.
About GRE
GRE General Test — conducted by Educational Testing Service (ETS). Graduate admission test with Verbal Reasoning, Quantitative Reasoning and Analytical Writing.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
Practise by topic
- Percentages questions — Convert percentages to fractions you know by heart (12.5% = 1/8, 37.5% = 3/8, 16.67% = 1/6) and always divide a change by the ORIGINAL value.
- Algebra questions — Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution.
- Geometry & Mensuration questions — Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)).
- Data Interpretation questions — Read the table title, units and years before calculating.
- Probability & Combinatorics questions — Probability = favourable ÷ total outcomes.
- Vocabulary & Idioms questions — Learn words in synonym/antonym pairs and by roots (bene = good, mal = bad, chron = time).
- GRE mock test — 25 timed questions.
GRE practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Vocabulary & Idioms | English | Question bank |