Multiple choice

Two series I and II are given. There is a wrong term in the series I. Find the wrong term in the series I. Series II is based on the pattern of series I. Series I : 2, 12, 30, 75, 184, 420 Series II : _, _, _, _, K, 520 You have to find the wrong term of series I, then starting from that wrong term of series I, find the 4th term of the new series based on the same pattern.

  1. 492

  2. 493

  3. 494

  4. 495

  5. None of these
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B Correct answer
Explanation

Series I: 2, 12, 30, 75, 184, 420. First differences: 10, 18, 45, 109, 236. Second differences: 8, 27, 64, 127. Pattern: 8=2³, 27=3³, 64=4³, 127=5³+2 (slight deviation). 420 is wrong; should be 418 (giving second difference 125=5³). Starting from wrong term 420: 420+10=430, 430+18=448, 448+45=493, so K=493.

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