Search quizzes/
ReasoningMedium10 questions + 90 practice 60s per questionSSC CGLSSC CHSLIBPS POSBI PORRB NTPC

Number Series Quiz: Reasoning Practice

10 timed number series questions. Missing terms, squares and cubes, multiply-and-add patterns and a wrong-number question. With the pattern explained for each.

VFD Digital Odometer Blue Display from 2000 Jeep Grand Cherokee Laredo.
Photo: Sav127 at English Wikipedia, CC BY-SA 3.0, via Wikimedia Commons
Read the notes first (7 min)

Number Series Quiz: Reasoning Practice

  • 10 questions
  • Medium
  • 60s each

Tip: use keys 1-4 to answer, Enter for next.

Learn this topic: best free lectures

Answers to the starter quiz

Spoilers! These are the Starter quiz’s answers. Easy, Medium, Hard and Mixed rounds show their own answers when you finish.

  1. Find the next number: 2, 6, 12, 20, 30, ?

    • 40
    • 42
    • 44
    • 36

    Answer: 42. Each term is n × (n + 1): 1×2, 2×3, 3×4, 4×5, 5×6, so next is 6 × 7 = 42.

    ▶ Watch the explanation (1:50) on YouTube, opens in a new tab
  2. Find the next number: 3, 9, 27, 81, ?

    • 162
    • 216
    • 324
    • 243

    Answer: 243. Each term is multiplied by 3: 81 × 3 = 243.

    ▶ Watch the explanation (1:50) on YouTube, opens in a new tab
  3. Find the next number: 5, 11, 23, 47, ?

    • 94
    • 93
    • 95
    • 97

    Answer: 95. Each term is ×2 + 1: 47 × 2 + 1 = 95.

    ▶ Watch the explanation (50:15) on YouTube, opens in a new tab
  4. Find the next number: 1, 8, 27, 64, 125, ?

    • 196
    • 256
    • 225
    • 216

    Answer: 216. These are cubes 1³ to 5³; next is 6³ = 216.

    ▶ Watch the explanation (32:10) on YouTube, opens in a new tab
  5. Find the next number: 7, 10, 16, 25, 37, ?

    • 49
    • 52
    • 51
    • 54

    Answer: 52. Differences are 3, 6, 9, 12, so the next difference is 15: 37 + 15 = 52.

    ▶ Watch the explanation (1:50) on YouTube, opens in a new tab
  6. Find the next number: 2, 3, 5, 7, 11, 13, ?

    • 17
    • 15
    • 19
    • 16

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

    ▶ Watch the explanation (19:35) on YouTube, opens in a new tab
  7. Find the wrong number in the series: 4, 9, 19, 39, 79, 160

    • 79
    • 39
    • 19
    • 160

    Answer: 160. The rule is ×2 + 1: 4, 9, 19, 39, 79, 159. So 160 is wrong; it should be 159.

    ▶ Watch the explanation on YouTube, opens in a new tab
  8. Find the next number: 120, 99, 80, 63, 48, ?

    • 36
    • 33
    • 35
    • 37

    Answer: 35. Terms are n² − 1 for n = 11, 10, 9, 8, 7; next is 6² − 1 = 35.

    ▶ Watch the explanation (1:50) on YouTube, opens in a new tab
  9. Find the next number: 1, 2, 6, 24, 120, ?

    • 720
    • 600
    • 840
    • 620

    Answer: 720. Multiply by 2, 3, 4, 5, then 6: 120 × 6 = 720 (these are factorials).

    ▶ Watch the explanation (50:15) on YouTube, opens in a new tab
  10. Find the next number: 6, 7, 11, 20, 36, ?

    • 56
    • 61
    • 52
    • 64

    Answer: 61. Differences are 1, 4, 9, 16 (squares), so the next difference is 25: 36 + 25 = 61.