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Choose the next term of the series A4C, E36G, I100K, _______.
Question

Choose the next term of the series A4C, E36G, I100K, _______.

A.

L169M

B.

N225O

C.

M196O

D.

M169O

Correct option is C

To find the next term, let's break down the given series:

  1. First Character:

    • A → E → I → M
      The first characters are progressing alphabetically with an increment of 4 positions:

    • A → E (4th position ahead)

    • E → I (4th position ahead)

    • I → M (4th position ahead)

  2. Middle Number:

    • 4 → 36 → 100 → 196

      The numbers are squares of even numbers, with the even numbers increasing by 4 (2, 6, 10, 14).
      These numbers are following the pattern of squares of even numbers:

    • 2² = 4

    • 6² = 36

    • 10² = 100

    • 14² = 196 (following the square pattern, the next number is 14²)

  3. Last Character:

    • C → G → K → O
      The last characters are progressing alphabetically with an increment of 4 positions:

    • C → G (4th position ahead)

    • G → K (4th position ahead)

    • K → O (4th position ahead)

So, the next term is M196O.

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