If in English alphabet, A = 1, D = 2, P = 4, then which of the following…

2023

If in English alphabet, A = 1, D = 2, P = 4, then which of the following denotes 3?

Answer: B. IConceptIn this coding pattern, each letter is first replaced by its position in the English alphabet. The displayed number is the square root of that…

  1. A.

    H

  2. B.

    I

  3. C.

    J

  4. D.

    More than one of the above

  5. E.

    None of the above

Attempted by 59 students.

Show answer & explanation

Correct answer: B

Concept

In this coding pattern, each letter is first replaced by its position in the English alphabet. The displayed number is the square root of that position, so the pattern applies directly to letters at perfect-square positions.

Application

  1. A is at position 1, and √1 = 1.

  2. D is at position 4, and √4 = 2.

  3. P is at position 16, and √16 = 4.

  4. To obtain 3, square it: 32 = 9.

  5. The 9th letter of the English alphabet is I.

Cross-check

Applying the rule back to I gives position(I) = 9 and √9 = 3, which reproduces the required code.

Result

The required letter is I.

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