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Question

If H = 17, I = 19, J = 21, then M = ?

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is
27

Letter Sequence Pattern Analysis

The question presents a sequence where letters are assigned numerical values. We need to find the pattern to determine the value for the letter M.

  • Given: H = 17, I = 19, J = 21
  • Alphabetical Positions: H is the 8th letter, I is the 9th, J is the 10th, and M is the 13th.

Identifying the Numerical Pattern

Let's analyze the relationship between the letter's position in the alphabet and its assigned value.

  • H (8th letter): Value = 17
  • I (9th letter): Value = 19
  • J (10th letter): Value = 21

Observe the difference between consecutive values:

  • $19 - 17 = 2$
  • $21 - 19 = 2$

The values increase by 2 for each subsequent letter in the sequence shown. Let's test a formula relating the alphabetical position ($n$) to the value ($V$). A possible formula is $V = 2n + c$.

  • For H (n=8): $17 = 2 \times 8 + c \implies 17 = 16 + c \implies c = 1$.
  • Test for I (n=9): $V = 2 \times 9 + 1 = 18 + 1 = 19$. (Matches)
  • Test for J (n=10): $V = 2 \times 10 + 1 = 20 + 1 = 21$. (Matches)

The pattern holds: Value $= 2 \times (\text{Alphabetical Position}) + 1$.

Calculating the Value for M

M is the 13th letter of the alphabet ($n=13$). Using the established pattern:

  • Value for M $= 2 \times 13 + 1$
  • Value for M $= 26 + 1$
  • Value for M $= 27$

Therefore, M = 27.

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