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Question

Select the option that is related to the third letter-cluster in the same way as the second letter-cluster.

JKLM : HLKO ∷ PQRS : ?

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is

NRQU

Solving Letter Cluster Analogy Questions

This question asks us to find the relationship between the first pair of letter clusters, JKLM and HLKO, and then apply that same relationship to the letter cluster PQRS to find the missing cluster. These types of questions test your ability to identify patterns in letter sequences based on their positions in the alphabet.

Analyzing the Pattern: JKLM to HLKO

Let's look at how each letter in JKLM changes to become the corresponding letter in HLKO. We can use the alphabetical position of each letter.

Position Letter in JKLM Alphabetical Position Letter in HLKO Alphabetical Position Change
1st J \(10\) H \(8\) \(8 - 10 = -2\)
2nd K \(11\) L \(12\) \(12 - 11 = +1\)
3rd L \(12\) K \(11\) \(11 - 12 = -1\)
4th M \(13\) O \(15\) \(15 - 13 = +2\)

The pattern observed in the change of alphabetical positions is:

  • 1st letter: Position \(-2\)
  • 2nd letter: Position \(+1\)
  • 3rd letter: Position \(-1\)
  • 4th letter: Position \(+2\)

Applying the Pattern to PQRS

Now, we apply this same pattern of changes to the letter cluster PQRS. Let's find the alphabetical positions of the letters in PQRS and apply the respective changes.

Position Letter in PQRS Alphabetical Position Change (Pattern) New Position New Letter
1st P \(16\) \(-2\) \(16 - 2 = 14\) N
2nd Q \(17\) \(+1\) \(17 + 1 = 18\) R
3rd R \(18\) \(-1\) \(18 - 1 = 17\) Q
4th S \(19\) \(+2\) \(19 + 2 = 21\) U

By applying the pattern \(-2, +1, -1, +2\) to the letters PQRS, we get the new letter cluster NRQU.

Checking the Options

Let's compare our result NRQU with the given options:

  • Option 1: MRQV - Does not match NRQU.
  • Option 2: ORQT - Does not match NRQU.
  • Option 3: NRQU - Matches our result.
  • Option 4: NQRU - Does not match NRQU (the order of Q and R is different).

Therefore, the letter cluster that is related to PQRS in the same way as HLKO is related to JKLM is NRQU.

Revision Table: Key Pattern Identification

Cluster 1 Cluster 2 Relationship Pattern (Alphabetical Position Change)
JKLM HLKO 1st: -2, 2nd: +1, 3rd: -1, 4th: +2
PQRS NRQU Applying the same -2, +1, -1, +2 pattern

Additional Information: Letter Analogies and Reasoning

Letter analogy questions are common in reasoning tests. They require you to decipher the rule or pattern connecting two given letter sets and apply it to a third set. The patterns can be based on:

  • Alphabetical position shifts (like in this question).
  • Skipping a fixed number of letters.
  • Reversing the order of letters.
  • Vowel/consonant relationships.
  • Combination of different rules.

Practicing with different types of patterns is key to solving these reasoning problems quickly and accurately. Always write down the alphabetical positions if it helps you see the numerical relationship clearly.

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