Mensa IQ Test Mensa IQ Numerical Pattern Recognition Questions and Answers 3 — Questions and Answers
Question 1: What comes next? 1, 2, 4, 7, 11, 16, ?
- 20
- 21
- 22 (Correct answer)
- 23
Correct answer: 22
Differences: 1, 2, 3, 4, 5, 6 (increasing by 1). 16+6=22.
Differences between consecutive terms: 2-1=1, 4-2=2, 7-4=3, 11-7=4, 16-11=5. The differences increase by 1 each time. Next difference = 6. So 16+6 = 22.
Question 2: In a 3×3 magic square where rows sum to 15, what goes in the center? [Row 1: 2, 7, 6] [Row 2: 9, ?, 1] [Row 3: 4, 3, 8]
- 4
- 5 (Correct answer)
- 6
- 7
Correct answer: 5
Row 2 must sum to 15: 9 + ? + 1 = 15, so ? = 5.
This is a 3×3 magic square where all rows, columns, and diagonals sum to 15. Row 2: 9 + ? + 1 = 15, so ? = 5. Verification: Column 2: 7+5+3=15. Diagonal: 2+5+8=15.
Question 3: What is the next number? 1, 8, 27, 64, 125, ?
- 196
- 210
- 216 (Correct answer)
- 225
Correct answer: 216
These are perfect cubes: 1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216.
The sequence is cubes of natural numbers: 1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216. The next term is 6³ = 216.
Question 4: Find the odd one out: 121, 144, 169, 196, 200, 225
- 121
- 144
- 196
- 200 (Correct answer)
Correct answer: 200
All numbers except 200 are perfect squares: 11²=121, 12²=144, 13²=169, 14²=196, 15²=225. 200 is not a perfect square.
121=11², 144=12², 169=13², 196=14², 225=15². But √200 ≈ 14.14, not an integer. 200 is not a perfect square and is the odd one out.
Question 5: What number comes next? 3, 9, 27, 81, ?
- 162
- 243 (Correct answer)
- 324
- 729
Correct answer: 243
Each term is multiplied by 3: 3×3=9, 9×3=27, 27×3=81, 81×3=243.
This is a geometric sequence with common ratio 3. Each term = 3^n: 3¹=3, 3²=9, 3³=27, 3⁴=81, 3⁵=243. The next term is 81×3=243.
Question 6: A sequence: Position 1=1, Position 2=3, Position 3=7, Position 4=15. What is Position 6?
- 31
- 47
- 60
- 63 (Correct answer)
Correct answer: 63
Each term = 2^n - 1: 2¹-1=1, 2²-1=3, 2³-1=7, 2⁴-1=15, 2⁵-1=31, 2⁶-1=63.
Pattern: position n → 2^n - 1. P1: 2¹-1=1, P2: 2²-1=3, P3: 2³-1=7, P4: 2⁴-1=15, P5: 2⁵-1=31, P6: 2⁶-1=63.
Mensa IQ Test Mensa IQ Numerical Pattern Recognition Questions and Answers 3
What comes next? 1, 2, 4, 7, 11, 16, ?