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Q46 (CISF/2018) Miscellaneous & General Knowledge › Sports, Games & Awards

Find the missing letter.

2342421
DHPI?YE

Explanation

The puzzle follows a logical pattern where the letters represent the results of exponential operations, and the given numbers (2342421) are the exponents. By converting the letters to their numerical positions in the alphabet (A=1, B=2, ..., Z=26), we get:

  • D (4th letter) = 22
  • H (8th letter) = 23
  • P (16th letter) = 24
  • I (9th letter) = 32
  • ? (Missing) = Base4
  • Y (25th letter) = 52
  • E (5th letter) = 51

The exponents 2, 3, 4, 2, 4, 2, 1 correspond exactly to the digits in the sequence 2342421. For the missing letter at the 5th position, the exponent is 4. Testing the options, if the base is 1, then 14 = 1, which corresponds to the letter A. Other options like D (4), O (15), or N (14) do not fit as results of an integer base raised to the power of 4.

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