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Question

Select the number that will replace the question mark (?) in the following series.

LYR, JWP, HUN, FSL, ?

This question was previously asked in
SSC Stenographer 2019 Previous Year Paper (24-Dec-2020) (Shift 2)
The correct answer is

DQJ

Finding the Pattern in Letter Series LYR, JWP, HUN, FSL, ?

This question asks us to identify the pattern in the given letter series and find the next term. The series is LYR, JWP, HUN, FSL, ?. Each term consists of three letters. Let's analyze the pattern for each position of the letter in the terms.

Analyzing the First Letter Pattern

The first letters of the terms are L, J, H, F, ?. Let's look at their positions in the English alphabet:

  • L is the 12th letter.
  • J is the 10th letter.
  • H is the 8th letter.
  • F is the 6th letter.

The sequence of positions is 12, 10, 8, 6, ?. We can see a clear pattern here: each number is 2 less than the previous number.

The difference between consecutive first letters is:

  • J - L: $10 - 12 = -2$
  • H - J: $8 - 10 = -2$
  • F - H: $6 - 8 = -2$

So, the pattern for the first letter is decreasing by 2 positions in the alphabet. To find the next first letter, we subtract 2 from the position of F:

$6 - 2 = 4$. The 4th letter in the alphabet is D. So the next first letter is D.

Analyzing the Second Letter Pattern

The second letters of the terms are Y, W, U, S, ?. Let's look at their positions in the English alphabet:

  • Y is the 25th letter.
  • W is the 23rd letter.
  • U is the 21st letter.
  • S is the 19th letter.

The sequence of positions is 25, 23, 21, 19, ?. This also shows a pattern where each number is 2 less than the previous number.

The difference between consecutive second letters is:

  • W - Y: $23 - 25 = -2$
  • U - W: $21 - 23 = -2$
  • S - U: $19 - 21 = -2$

So, the pattern for the second letter is decreasing by 2 positions in the alphabet. To find the next second letter, we subtract 2 from the position of S:

$19 - 2 = 17$. The 17th letter in the alphabet is Q. So the next second letter is Q.

Analyzing the Third Letter Pattern

The third letters of the terms are R, P, N, L, ?. Let's look at their positions in the English alphabet:

  • R is the 18th letter.
  • P is the 16th letter.
  • N is the 14th letter.
  • L is the 12th letter.

The sequence of positions is 18, 16, 14, 12, ?. Again, each number is 2 less than the previous number.

The difference between consecutive third letters is:

  • P - R: $16 - 18 = -2$
  • N - P: $14 - 16 = -2$
  • L - N: $12 - 14 = -2$

So, the pattern for the third letter is decreasing by 2 positions in the alphabet. To find the next third letter, we subtract 2 from the position of L:

$12 - 2 = 10$. The 10th letter in the alphabet is J. So the next third letter is J.

Combining the Patterns

By following the pattern for each letter position, we found that the next term will have:

  • First letter: D
  • Second letter: Q
  • Third letter: J

Therefore, the next term in the series LYR, JWP, HUN, FSL, ? is DQJ.

Term 1st Letter 2nd Letter 3rd Letter
LYR L (12) Y (25) R (18)
JWP J (10) W (23) P (16)
HUN H (8) U (21) N (14)
FSL F (6) S (19) L (12)
? D (4) Q (17) J (10)

The number that will replace the question mark is DQJ.

Revision Table: Understanding Letter Series

Concept Description How it applies here
Letter Position Each letter in the alphabet corresponds to a number (A=1, B=2, ... Z=26). Used to quantify the pattern (decreasing by 2).
Identifying Pattern Look for consistent changes (addition, subtraction, multiplication, sequence) between consecutive terms. We found a consistent subtraction of 2 for each letter position.
Applying Pattern Once the pattern is found, apply it to the last given term to find the next term. Applied the '-2' rule to the letters of FSL.

Additional Information: Types of Letter Series Patterns

Letter series questions often involve different types of patterns. Here are some common ones:

  • Alphabetical Position: The pattern relates directly to the letter's position (A=1, B=2, etc.).
  • Skipping Letters: Letters might follow a sequence by skipping a fixed number of letters (e.g., A, C, E skips one letter each time).
  • Reverse Alphabetical Order: The series might move backwards through the alphabet.
  • Combination Patterns: Different positions within the terms might follow different patterns. In this case, all three positions followed the same pattern (-2).
  • Vowel/Consonant Patterns: The pattern might involve vowels or consonants specifically.
  • Letter Group Transformation: Sometimes, letters within a group are rearranged or transformed in a specific way from one term to the next.

Solving letter series questions requires careful observation and often involves converting letters to their numerical positions to spot the mathematical pattern.

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