Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 2 — Questions and Answers
Question 1: Find the missing value in the sequence: 100, 91, 83, 76, 70, [?]
- 65 (Correct answer)
- 64
- 66
- 68
Correct answer: 65
The differences are −9, −8, −7, −6, −5; the next difference is −5, so 70 − 5 = 65.
Question 2: In a number grid, row values follow: Row 1: 1, 4, 9. Row 2: 4, 16, 36. Row 3: 9, 36, [?].
- 81 (Correct answer)
- 54
- 72
- 64
Correct answer: 81
Each cell = (row × column)²; cell (3,3) = (3×3)² = 81. Alternatively, each cell = row² × col².
Question 3: A rectangle has a perimeter of 54 cm. Its length is twice its width. What is its area?
- 162 cm² (Correct answer)
- 108 cm²
- 243 cm²
- 81 cm²
Correct answer: 162 cm²
Let width = w; length = 2w. Perimeter: 2(w+2w) = 6w = 54, so w = 9; length = 18. Area = 9×18 = 162 cm².
Question 4: What replaces [?]: 2, 6, 18, 54, [?], 486?
- 162 (Correct answer)
- 108
- 144
- 216
Correct answer: 162
Each term is multiplied by 3; 54 × 3 = 162.
Question 5: If 30% of a number is 45, what is 70% of that number?
- 105 (Correct answer)
- 95
- 115
- 90
Correct answer: 105
30% = 45, so the whole number = 150. 70% of 150 = 105.
Question 6: A sequence uses two interleaved rules: odd-position terms triple the previous odd term; even-position terms equal the previous odd term minus 5. Sequence so far: 4, [?], 12, 7, 36, 31, [?].
- −1 and 93
- 3 and 108
- −1 and 108 (Correct answer)
- 3 and 93
Correct answer: −1 and 108
Odd positions: 4, 4×3=12, 12×3=36, 36×3=108. Even positions (odd−5): 4−5=−1, 12−5=7, 36−5=31, 108−5=103? The two blanks are position 2 (=4−5=−1) and position 7 (=36×3=108).
Question 7: A car travels from city A to city B in 3 hours at 80 km/h. It returns on a route 30 km shorter. The return trip takes 2.5 hours. What is the return speed?
- 84 km/h (Correct answer)
- 90 km/h
- 80 km/h
- 70 km/h
Correct answer: 84 km/h
Distance A→B = 80×3 = 240 km; return route = 240−30 = 210 km; speed = 210÷2.5 = 84 km/h.
Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 2
Find the missing value in the sequence: 100, 91, 83, 76, 70, [?]