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Question

What comes next?
C3, X24, D4, W23, ?

This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is

E5

Sequence Analysis

The question presents a sequence with alternating letters and numbers: C3, X24, D4, W23, ? We need to identify the pattern to find the next term.

Letter Pattern Identification

Let's analyze the letters C, X, D, W:

  • C is the 3rd letter of the alphabet.
  • X is the 24th letter. Notice that 24 = 27 - 3.
  • D is the 4th letter of the alphabet.
  • W is the 23rd letter. Notice that 23 = 27 - 4.

The pattern alternates between a letter's position (n) and the position of the letter from the end of the alphabet (27-n).

Following this pattern:

  • After C (3rd) and X (27-3 = 24th), we have D (4th).
  • The next letter should follow the reverse pattern: 27 - 4 = 23rd letter (W).
  • The next letter in the sequence should be the 5th letter (n=5).

The 5th letter of the alphabet is E.

Number Pattern Identification

Now, let's look at the numbers 3, 24, 4, 23:

  • The first number is 3.
  • The second number is 24. Notice that 24 = 27 - 3.
  • The third number is 4.
  • The fourth number is 23. Notice that 23 = 27 - 4.

This number pattern mirrors the letter pattern, using 'n' and '27-n'.

Following this pattern:

  • After 3 and 24 (27-3), we have 4.
  • The next number should follow the reverse pattern: 27 - 4 = 23. (This corresponds to W23).
  • The term after W23 should use the next number in the primary sequence, which is 5 (n=5).

The next number is 5.

Combining Patterns

The letter pattern requires the 5th letter (E), and the number pattern requires the number 5.

Therefore, the next term in the sequence is E5.

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