Which number replaces the question mark?

2024

Which number replaces the question mark?

  1. A.

    4

  2. B.

    10

  3. C.

    9

  4. D.

    7

Show answer & explanation

Correct answer: A

In this letter-number circle series, each outer circle is split into a left half and a right half by a vertical line. The sum of the three numbers in each half equals the position of a letter in the alphabet (A = 1, B = 2, ... Z = 26), and that letter is shown in the corresponding half of the central circle.

  1. Left-hand circle, left half: 4 + 3 + 6 = 13, the position of M — matching the letter M shown in the upper-left of the central circle.

  2. Left-hand circle, right half: 2 + 9 + 8 = 19, the position of S — matching the letter S shown in the lower-left of the central circle.

  3. Right-hand circle, left half: 6 + 2 + 1 = 9, the position of I — matching the letter I shown in the upper-right of the central circle.

  4. Right-hand circle, right half must give W, the 23rd letter: 11 + 8 + ? = 23, so ? = 23 − 19 = 4.

Check: the total of all six numbers in the right-hand circle (6 + 11 + 2 + 8 + 1 + 4 = 32) equals the combined position value of I and W (9 + 23 = 32), confirming the missing number is 4.

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