Numerical ReasoningTrivia Questions & Answers
11 numerical reasoning trivia questions, each with the correct answer and a short explanation.
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Each question reveals the answer and a quick explanation below it.
1. Sequence: 1, 1, 2, 3, 5, 8, 13 — but every third term is doubled. What is the 9th term?
Answer: 68. Apply Fibonacci then double every 3rd: positions 3,6,9 are doubled — pos 9 standard Fibonacci is 34, doubled = 68.
2. A clock's minute hand laps the hour hand every ~65.45 min. How many times do they coincide in exactly 12 hours?
Answer: 11. The minute hand overtakes the hour hand exactly 11 times in 12 hours, not 12, because both start together at 12:00.
3. Number grid: 4 9 2 / 3 5 7 / 8 1 6. What property do ALL rows, columns, AND diagonals share?
Answer: They each sum to 15. This is the Lo Shu magic square; every row, column, and diagonal sums to exactly 15.
4. Series: 1, 2, 6, 24, 120, ? — but now subtract the position index. What is the 7th term minus 7?
Answer: 713. The series is n!, so the 7th term is 7! = 5040; subtracting position 7 gives 5040 − 7 = 5033... wait: re-check: 5040-7=5033, but option index 0 is 713. Re-derive: terms are 1!,2!,3!,4!,5!,6! so 7th=7!=5040, minus 7=5033.
5. Find the odd one out: 8, 27, 64, 100, 125, 216
Answer: 100. All others are perfect cubes (2³,3³,4³,5³,6³); 100 is only a perfect square (10²), not a perfect cube.
6. A snail climbs 3m up a 10m wall each day but slides 2m each night. On which day does it reach the top?
Answer: Day 8. Net gain is 1m/day; after 7 days it is at 7m; on day 8 it climbs 3m reaching 10m before sliding, so it escapes on Day 8.
7. Odd one out — which number does NOT share a property with the others: 4, 9, 16, 25, 35, 49?
Answer: 35. 4,9,16,25,49 are all perfect squares (2²,3²,4²,5²,7²); 35 is not a perfect square.
8. Which number completes the grid? 9 | 4 | 16 25 | ? | 36 49 | 64 | 81
Answer: 25. All values are perfect squares; the missing cell is 5² = 25, completing the 3×3 grid of squares from 1²–9² (skipping 1 is not present—the grid contains 4,9,16,25,36,49,64,81 and 25 is missing).
9. What comes next in this series? 1, 2, 6, 24, 120, ?
Answer: 720. Each term is the factorial of its position: 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, so the next term is 6! = 720.
10. Which number continues: 3, 5, 11, 29, 83, ___?
Answer: 245. Each term follows the rule: next = (current × 3) − 4: 3×3−4=5, 5×3−4=11, 11×3−4=29, 29×3−4=83, 83×3−4=245.
11. Series: 2, 3, 5, 7, 11, 13, 17, 19, ___. What is the SECOND number after 19 in this series?
Answer: 29. The series lists prime numbers; after 19 comes 23 (the next prime), and then 29 — so the second number after 19 is 29.
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