GMAT Quantitative
Past Questions
39+ verified Quantitative past questions for GMAT. Step-by-step worked answers in 5 Nigerian languages.
Quantitative topics (2)
Sample Quantitative past questions
1. If x + 3 = 7, x = ?
- A. 3
- B. 4
- C. 7
- D. 10
Answer: B
2. Mean of 2, 4, 6, 8.
- A. 3
- B. 4
- C. 5
- D. 6
Answer: C
3. Hypotenuse 3,4,?
- A. 5
- B. 6
- C. 7
- D. 8
Answer: A
AI Explanation
**The reasoning** This is a classic **Pythagorean theorem** question. In any right-angled triangle, the relationship between the sides is: **hypotenuse² = leg₁² + leg₂²** Here, the two shorter sides (legs) are 3 and 4. So: hypotenuse² = 3² + 4² hypotenuse² = 9 + 16 hypotenuse² = 25 hypotenuse = √25 = **5** This 3-4-5 triangle is the most famous Pythagorean triple—memorize it! Others include 5-12-13 and 8-15-17. **Why the wrong options tempt you** - **6, 7, 8**: Students often just add (3+4=7) or pick numbers close to the legs. Wrong! The hypotenuse isn't found by simple addition—you must square, add, then take the square root. - **6**: Maybe you thought "3×2=6"? Random multiplication doesn't work here. **Quick takeaway** The hypotenuse is always the *longest* side in a right triangle, and you find it using **a² + b² = c²**—never by adding or guessing. Burn "3-4-5" into your memory!
4. 20% of 600.
- A. 60
- B. 100
- C. 120
- D. 200
Answer: C
5. If a = 2 and b = 3, ab² = ?
- A. 12
- B. 18
- C. 24
- D. 36
Answer: B
6. If x + y = 10 and x − y = 4, then x =
- A. 3
- B. 7
- C. 5
- D. 6
Answer: B
7. A 20% discount on $50 gives a price of:
- A. $30
- B. $40
- C. $45
- D. $10
Answer: B
8. The average of 4, 8, and 12 is:
- A. 6
- B. 8
- C. 10
- D. 12
Answer: B
9. If 5x − 3 = 2x + 9, then x =
- A. 2
- B. 4
- C. 6
- D. 12
Answer: B
10. A jacket costs $80 after a 20% discount. Original price?
- A. $96
- B. $100
- C. $120
- D. $160
Answer: B
11. The probability of a fair coin landing heads is:
- A. 0
- B. 0.25
- C. 0.5
- D. 1
Answer: C
12. If x + 4 = 12, then 2x =
- A. 8
- B. 16
- C. 24
- D. 12
Answer: B
13. A car travels 150 km in 3 hours. Its speed is:
- A. 30 km/h
- B. 50 km/h
- C. 45 km/h
- D. 60 km/h
Answer: B
14. The square of 11 is:
- A. 111
- B. 121
- C. 112
- D. 131
Answer: B
15. If 40% of x = 80, then x =
- A. 100
- B. 200
- C. 160
- D. 320
Answer: B
16. The sum of three consecutive integers is 30. The middle one is:
- A. 9
- B. 10
- C. 11
- D. 12
Answer: B
17. Simplify: 12 ÷ 4 + 2 × 3.
- A. 9
- B. 12
- C. 15
- D. 6
Answer: A
18. If 3x + 5 = 20, what is x?
- A. 3
- B. 5
- C. 15
- D. 25
Answer: B
AI Explanation
3x = 15 → x = 5.
19. What is 15% of 240?
- A. 24
- B. 30
- C. 36
- D. 40
Answer: C
AI Explanation
15% × 240 = 0.15 × 240 = 36.
20. The average of 4 numbers is 25. If 3 of them are 20, 25 and 30, what is the fourth?
- A. 20
- B. 25
- C. 30
- D. 35
Answer: B
AI Explanation
Sum = 4 × 25 = 100. Known three = 75. Fourth = 100 − 75 = 25.
21. If 2^x = 32, x equals:
- A. 3
- B. 4
- C. 5
- D. 6
Answer: C
AI Explanation
2^5 = 32, so x = 5.
22. What is the value of (3 + 4)² − 25?
- A. 14
- B. 24
- C. 49
- D. 0
Answer: B
AI Explanation
(7)² − 25 = 49 − 25 = 24.
23. A 25% increase followed by a 20% decrease yields a net change of:
- A. Increase 5%
- B. Decrease 5%
- C. No change
- D. Decrease 10%
Answer: C
AI Explanation
1.25 × 0.80 = 1.00 → no net change.
24. Solve: x² − 9 = 0
- A. x = 3 only
- B. x = −3 only
- C. x = ±3
- D. No solution
Answer: C
AI Explanation
x² = 9 → x = ±3 (both square roots).
25. What is the area of a triangle with base 10 and height 6?
- A. 30
- B. 60
- C. 16
- D. 40
Answer: A
AI Explanation
Area = ½ × base × height = ½ × 10 × 6 = 30.
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