Pick out the odd one out from the following series 10, 12, 28, 90, 368, 1840,…

2024

Pick out the odd one out from the following series

10, 12, 28, 90, 368, 1840, 11112.

  1. A.

    1840

  2. B.

    368

  3. C.

    90

  4. D.

    28

Show answer & explanation

Correct answer: A

Concept: In a “find the wrong number in the series” question, consecutive terms follow one fixed algebraic rule of the form next term = previous term × (an increasing multiplier) + (an increasing additive constant), where the multiplier and the constant each step up by a fixed amount from one pair of terms to the next. To find the wrong term, derive this rule from several consistent consecutive terms, then test every term against it — the term that breaks the pattern is the wrong number.

  1. First term (10) to second term (12): 10 × 1 + 2 = 12 ✓

  2. Second term (12) to third term (28): 12 × 2 + 4 = 28 ✓

  3. Third term (28) to fourth term (90): 28 × 3 + 6 = 90 ✓

  4. Fourth term (90) to fifth term (368): 90 × 4 + 8 = 368 ✓

  5. Fifth term (368) to the sixth term: 368 × 5 + 10 = 1850 is required, but the series shows 1840 — the pattern breaks here.

  6. Correct sixth term (1850) to the seventh term (11112): 1850 × 6 + 12 = 11112 ✓ (this confirms the sixth term must be 1850, not 1840).

Cross-check: the seventh term (11112) is consistent only if the sixth term equals 1850 (368 × 5 + 10), which independently confirms that 1840 is the term that breaks the pattern.

Hence, the wrong number in the series is 1840 (it should be 1850).

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