Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 1 — Questions and Answers
Question 1: What is the next number in the sequence: 2, 4, 8, 16, 32, [?]?
- 64 (Correct answer)
- 48
- 56
- 60
Correct answer: 64
Each term is multiplied by 2 (geometric sequence with ratio 2), so 32 × 2 = 64.
Question 2: Find the missing number: 3, 7, 13, 21, 31, [?]
- 43 (Correct answer)
- 41
- 39
- 45
Correct answer: 43
The differences between terms are 4, 6, 8, 10, 12 — increasing by 2 each time; 31 + 12 = 43.
Question 3: A number grid: the value in each cell equals the product of its row number and column number. In a 4×4 grid, what is the sum of all numbers in row 4?
- 40 (Correct answer)
- 24
- 28
- 32
Correct answer: 40
Row 4 values are 4×1, 4×2, 4×3, 4×4 = 4, 8, 12, 16; sum = 40.
Question 4: If a train travels at 90 km/h for 40 minutes and then 60 km/h for 20 minutes, what total distance does it cover?
- 80 km (Correct answer)
- 70 km
- 90 km
- 100 km
Correct answer: 80 km
90 × (40/60) = 60 km for the first leg; 60 × (20/60) = 20 km for the second leg; total = 80 km.
Question 5: What number should replace the question mark? 5 : 25 :: 7 : [?]
- 49 (Correct answer)
- 35
- 42
- 14
Correct answer: 49
The relationship is x : x² (squaring); 7² = 49.
Question 6: The average of five numbers is 18. Four of the numbers are 12, 15, 20, and 24. What is the fifth number?
- 19 (Correct answer)
- 18
- 21
- 17
Correct answer: 19
Total sum = 5 × 18 = 90; known sum = 12+15+20+24 = 71; fifth number = 90 − 71 = 19.
Question 7: What is the next number in the sequence: 1, 1, 2, 3, 5, 8, 13, [?]?
- 21 (Correct answer)
- 18
- 20
- 24
Correct answer: 21
This is the Fibonacci sequence; each term is the sum of the two preceding terms: 8 + 13 = 21.
Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 1
What is the next number in the sequence: 2, 4, 8, 16, 32, [?]?