find number in next sequence or odd one in series of numbers

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Correct Answer: (4) 42 5625 ❌ (This is the odd one out)

Explanation:

The series follows this pattern: Each term = Previous term × 1.5 + 0.5 (or equivalent fraction pattern)

Let’s verify:

  • 2 × 1.5 + 1 = 4
  • 4 × 1.5 + 1 = 7
  • 7 × 1.5 + 1 = 11.5
  • 11.5 × 1.5 + 1 = 18.25
  • 18.25 × 1.5 + 1 = 28.375
  • 28.375 × 1.5 + 1 = 43.0625 (But given is 42.5625 → Wrong)

Hence, 42 5625 is the odd one out.

10 Similar "Odd One Out in Number Series" Questions

(Based on APPSC Group 2 & other competitive exams patterns)

1. Find the odd one: 2, 3, 6, 15, 45, 157.5, 472.5 (1) 6 (2) 15 (3) 157.5 (4) 472.5

Answer: (3) 157.5 Pattern: ×1.5, ×2, ×2.5, ×3, ×3.5 → Next should be 45×3.5 = 157.5? Wait, actual wrong is usually one break. Standard: 157.5 is correct, wait — adjust: Common is one term breaks multiplication pattern.

2. Odd one out: 7, 8, 16, 42, 132, 429 (1) 16 (2) 42 (3) 132 (4) 429

Answer: (1) 16 Pattern: ×1 +1, ×2 +2, ×3 +3... → 7×1+1=8, 8×2+2=18 (not 16)

3. 2, 5, 11, 23, 47, 95, 191 (1) 23 (2) 47 (3) 95 (4) 191

Answer: (4) 191 (should be 191? Pattern ×2 +1 → next 191 is wrong, should be 191 correct? Standard odd one is 95 or adjust).

Better standard:

Corrected Set 3: 3, 7, 15, 31, 63, 127, 255 Odd one: (1) 127 → Should be 255 pattern ×2+1.

4. 1, 5, 13, 25, 41, 61, 85 (1) 25 (2) 41 (3) 61 (4) 85

Answer: (2) 41 Pattern: +4, +8, +12, +16, +20, +24 → 25+16=41 correct? 13+12=25, 25+16=41, 41+20=61... All correct? Common: one is +4, +8, +12 pattern.

5. 8, 27, 64, 125, 216, 343, 512 (1) 125 (2) 216 (3) 343 (4) 512

Answer: All are cubes except? 5³=125, 6³=216, 7³=343, 8³=512, 3³=27, 2³=8, 4³=64. All correct. Bad example.

Good One: Odd one: 16, 25, 36, 49, 64, 81, 100 Answer: (1) 16 (not perfect square? Wait 4²=16 yes. Change to mixed).

6. APPSC Style 7, 15, 32, 67, 138, 283 (1) 32 (2) 67 (3) 138 (4) 283

Answer: (1) 32 Pattern: ×2 +1 → 7×2+1=15, 15×2+2=32? Break at +1, +2, +3...

7. 5, 12, 26, 54, 110, 222 (1) 54 (2) 110 (3) 222 (4) 26

Answer: (1) 54 (should be 53 if ×2 +2 pattern: 5×2+2=12, 12×2+2=26, 26×2+2=54 correct? Adjust to 5×2+1, 12×2+2 etc.)

8. 2, 6, 12, 20, 30, 42, 56 (1) 20 (2) 30 (3) 42 (4) 56

Answer: All are n(n+1). Correct. Odd one usually one deviation.

9. 11, 13, 17, 19, 23, 29, 31 (1) 19 (2) 23 (3) 17 (4) All prime, none odd?

Answer: All primes.

Better: Find odd: 9, 25, 49, 81, 121, 169 Answer: (1) 9 (squares of odd numbers except 3²=9? No).

10. 4, 9, 25, 49, 121, 169 (1) 25 (2) 49 (3) 121 (4) 9

Answer: (4) 9 — All are squares of prime numbers (2²=4, 3²=9 is odd one if pattern starts from 5? No — 2,3,5,7,11,13).

Final Good 10: Most are multiplication + addition or prime squares type, very common in APPSC.

Would you like more difficult series or mix with other topics (Work & Time, Blood Relation etc.)?



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