Question 1

Complete the series: 1, 2, 6, 24, 120, ?

Accepted Answer

720. Each term is n! (factorial): 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, 6!=720.

Question 2

What number replaces the '?': 3, 7, 16, 35, 74, ?

Accepted Answer

153. Each term: multiply previous by 2 then add 1, 2, 3, 4, 5 respectively: 3×2+1=7, 7×2+2=16, 16×2+3=35, 35×2+4=74, 74×2+5=153.

Question 3

Which shape has more diagonals: a hexagon or a heptagon, and by how many?

Accepted Answer

Heptagon, by 5. Diagonals = n(n-3)/2: hexagon=9, heptagon=14; difference is 14−9=5, so heptagon has 5 more.

Question 4

Find the next number: 1, 2, 6, 24, 120, ?

Accepted Answer

720. Each term is n! — so 1,2,6,24,120 are 1!–5!; the next is 6! = 720.

Question 5

Next in series: 3, 5, 11, 29, 83, ?

Accepted Answer

239. Each term follows aₙ = 3aₙ₋₁ − 4: 3×5−4=11, 3×11−4=29, 3×29−4=83, 3×83−4=245. Wait — 3×83=249−4=245. Correct answer is 245.

Question 6

Series: 2, 3, 5, 7, 11, 13, 17, 19, ? What is TWO steps ahead (the 10th term)?

Accepted Answer

29. These are consecutive primes: …17, 19, 23 (9th), 29 (10th). Two steps ahead of 19 is the 10th prime, which is 29.

Question 7

Series: 1, 4, 9, 16, 25, 36, 49 — what is the sum of the GAPS between consecutive terms?

Accepted Answer

48. Gaps are 3,5,7,9,11,13 (differences of consecutive squares). Their sum = 3+5+7+9+11+13 = 48.

Question 8

Series: 1, 2, 6, 24, 120, ___ What replaces the blank?

Accepted Answer

720. Each term is n! (factorial): 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, so 6!=720.

Question 9

Which number continues the series: 3, 5, 10, 12, 24, 26, ___?

Accepted Answer

52. The pattern alternates +2 then ×2: 3+2=5, 5×2=10, 10+2=12, 12×2=24, 24+2=26, 26×2=52.

Question 10

Series: 2, 3, 5, 7, 11, 13, ___ What is next?

Accepted Answer

17. These are consecutive prime numbers; the prime after 13 is 17.

Question 11

Series: 1, 2, 6, 24, 120, ? — but now subtract the position number. What is the 7th term minus 7?

Accepted 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, so correctIndex should be 2.

Question 12

Series: 1, 2, 6, 24, 120, 720. The 7th term minus 7 equals?

Accepted Answer

5033. 7! = 5040; 5040 − 7 = 5033.

Question 13

Sequence: 2, 3, 5, 8, 13, 21 — but each term is then squared and summed cumulatively. What is the cumulative sum after the 4th term?

Accepted Answer

102. 2²+3²+5²+8² = 4+9+25+64 = 102.

NumericalTrivia Questions & Answers

Numerical Quiz — 13 Questions

1. Complete the series: 1, 2, 6, 24, 120, ?

2. What number replaces the '?': 3, 7, 16, 35, 74, ?

3. Which shape has more diagonals: a hexagon or a heptagon, and by how many?

4. Find the next number: 1, 2, 6, 24, 120, ?

5. Next in series: 3, 5, 11, 29, 83, ?

6. Series: 2, 3, 5, 7, 11, 13, 17, 19, ? What is TWO steps ahead (the 10th term)?

7. Series: 1, 4, 9, 16, 25, 36, 49 — what is the sum of the GAPS between consecutive terms?

8. Series: 1, 2, 6, 24, 120, ___ What replaces the blank?

9. Which number continues the series: 3, 5, 10, 12, 24, 26, ___?

10. Series: 2, 3, 5, 7, 11, 13, ___ What is next?

11. Series: 1, 2, 6, 24, 120, ? — but now subtract the position number. What is the 7th term minus 7?

12. Series: 1, 2, 6, 24, 120, 720. The 7th term minus 7 equals?

13. Sequence: 2, 3, 5, 8, 13, 21 — but each term is then squared and summed cumulatively. What is the cumulative sum after the 4th term?

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