Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 5 — Questions and Answers
Question 1: What is the missing number in the matrix? [3, 6, 9] / [5, 10, 15] / [7, 14, ?]
- 21 (Correct answer)
- 18
- 16
- 28
Correct answer: 21
Each row multiplies the first element by 1, 2, and 3; 7×3 = 21. Also, column 3 = column 2 × 1.5: 9, 15, 21.
Question 2: A geometric sequence has first term 3 and common ratio 4. What is the 5th term?
- 768 (Correct answer)
- 256
- 512
- 1024
Correct answer: 768
Terms: 3, 12, 48, 192, 768; the 5th term = 3 × 4⁴ = 3 × 256 = 768.
Question 3: The sum of two numbers is 84 and their difference is 20. What is the larger number?
- 52 (Correct answer)
- 42
- 62
- 32
Correct answer: 52
Let the numbers be a and b where a > b. a+b=84 and a−b=20; adding: 2a=104, a=52.
Question 4: A numerical sequence: 729, 243, 81, 27, [?]
- 9 (Correct answer)
- 18
- 3
- 12
Correct answer: 9
Each term is divided by 3 (geometric sequence with ratio 1/3); 27/3 = 9.
Question 5: How many minutes are there from 9:45 AM to 2:15 PM?
- 270 (Correct answer)
- 255
- 285
- 265
Correct answer: 270
9:45 AM to 2:15 PM = 4 hours and 30 minutes = 270 minutes.
Question 6: What replaces [?]: 17, 13, 9, 5, [?], −3?
- 1 (Correct answer)
- 2
- 0
- 3
Correct answer: 1
The sequence decreases by 4 each step; 5 − 4 = 1.
Question 7: A shopkeeper buys 200 items at $3 each and sells them at $5 each, but 20 items are returned unsold. What is the profit?
- $300 (Correct answer)
- $400
- $200
- $250
Correct answer: $300
Cost = 200×$3 = $600; Revenue = (200−20)×$5 = 180×$5 = $900; Profit = $900−$600 = $300.
Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 5
What is the missing number in the matrix? [3, 6, 9] / [5, 10, 15] / [7, 14, ?]