Mensa Mensa IQ Spatial Reasoning and Patterns 2 — Questions and Answers
Question 1: What comes next in the series: 1, 1, 2, 3, 5, 8, 13, ?
- 18
- 20
- 21 (Correct answer)
- 23
Correct answer: 21
This is the Fibonacci sequence where each number is the sum of the two preceding ones: 8+13=21.
The Fibonacci sequence: each term equals the sum of the two preceding terms. 1, 1, 2(1+1), 3(1+2), 5(2+3), 8(3+5), 13(5+8), 21(8+13). This sequence appears frequently in nature and mathematics.
Question 2: Complete the analogy: Conductor is to Orchestra as General is to ___?
- War
- Army (Correct answer)
- Battle
- Strategy
Correct answer: Army
A conductor leads an orchestra; a general leads an army. Both are leaders of large organized groups.
The relationship is Leader:Group. A conductor directs and leads an orchestra (a large musical ensemble). A general directs and leads an army (a large military force). Both roles involve commanding a structured group toward a unified goal.
Question 3: In a sequence of letters: Z, X, V, T, R, ?, the missing letter is:
- P (Correct answer)
- Q
- O
- S
Correct answer: P
The sequence skips one letter backwards each time: Z, Y(skip), X, W(skip), V, U(skip), T, S(skip), R, Q(skip), P.
Starting from Z and moving backwards through the alphabet, every other letter is selected: Z(26), X(24), V(22), T(20), R(18), P(16). Each term decreases by 2 positions in the alphabet.
Question 4: If FISH is coded as GJTJ, what does BIRD become in the same code?
- CJSE (Correct answer)
- CJSF
- CISE
- DJSE
Correct answer: CJSE
Each letter is shifted forward by 1 position: B→C, I→J, R→S, D→E. BIRD becomes CJSE.
F+1=G, I+1=J, S+1=T, H+1=I. So each letter shifts +1 in the alphabet. Applying the same rule to BIRD: B+1=C, I+1=J, R+1=S, D+1=E → CJSE.
Question 5: Some A are B. All B are C. Which conclusion is definitely true?
- All A are C
- Some A are C (Correct answer)
- No A are C
- All C are A
Correct answer: Some A are C
Since some A are B, and all B are C, those A that are B must also be C. So some A are C.
From 'Some A are B' we know at least one A is also a B. From 'All B are C' we know every B is a C. Therefore, the A that are B are also C. This means 'Some A are C' is definitely true. We cannot conclude 'All A are C' because some A might not be B.
Question 6: A clock shows 3:15. What is the angle between the hour hand and the minute hand?
- 0°
- 7.5° (Correct answer)
- 15°
- 22.5°
Correct answer: 7.5°
At 3:15, the minute hand is at 90°. The hour hand has moved 15 minutes past 3, which is 90° + (15/60)×30° = 90° + 7.5° = 97.5°. Difference = 97.5° - 90° = 7.5°.
Minute hand at 3:15: 15 min × 6°/min = 90°. Hour hand: at 3:00 it's at 90°, but in 15 minutes it moves 15 × 0.5°/min = 7.5° further, landing at 97.5°. The angle between them = 97.5° - 90° = 7.5°.
Question 7: What number should replace the question mark? 4, 9, 25, 49, ?, 169
- 81
- 100
- 121 (Correct answer)
- 144
Correct answer: 121
The series is squares of prime numbers: 2²=4, 3²=9, 5²=25, 7²=49, 11²=121, 13²=169.
The pattern uses perfect squares: 4=2², 9=3², 25=5², 49=7², 121=11², 169=13². The bases (2, 3, 5, 7, 11, 13) are consecutive prime numbers. So the missing term is 11²=121.
Mensa Mensa IQ Spatial Reasoning and Patterns 2
What comes next in the series: 1, 1, 2, 3, 5, 8, 13, ?