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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 is related to the first letter-cluster.

FKPV : HIRT ∷ BHMR : ?

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

DFOP

Analyzing the Letter Cluster Analogy: FKPV to HIRT

The question asks us to find the letter cluster that is related to 'BHMR' in the same way that 'HIRT' is related to 'FKPV'. To solve this letter analogy, we need to identify the pattern or rule that transforms 'FKPV' into 'HIRT' and then apply the same rule to 'BHMR'.

Let's analyze the relationship between the letters in the first pair, 'FKPV' and 'HIRT', based on their positions in the English alphabet:

  • F is the 6th letter. H is the 8th letter. The change is \( 8 - 6 = +2 \).
  • K is the 11th letter. I is the 9th letter. The change is \( 9 - 11 = -2 \).
  • P is the 16th letter. R is the 18th letter. The change is \( 18 - 16 = +2 \).
  • V is the 22nd letter. T is the 20th letter. The change is \( 20 - 22 = -2 \).

So, the pattern is consistently adding 2 to the position of the first letter, subtracting 2 from the second, adding 2 to the third, and subtracting 2 from the fourth letter.

Letter in FKPV Position Change Letter in HIRT Position
F 6 \( +2 \) H 8
K 11 \( -2 \) I 9
P 16 \( +2 \) R 18
V 22 \( -2 \) T 20

Applying the Pattern to BHMR

Now, we apply the same \( +2, -2, +2, -2 \) pattern to the letter cluster 'BHMR' to find the related cluster.

  • For the first letter B (2nd position): Add 2. \( 2 + 2 = 4 \). The 4th letter is D.
  • For the second letter H (8th position): Subtract 2. \( 8 - 2 = 6 \). The 6th letter is F.
  • For the third letter M (13th position): Add 2. \( 13 + 2 = 15 \). The 15th letter is O.
  • For the fourth letter R (18th position): Subtract 2. \( 18 - 2 = 16 \). The 16th letter is P.
Letter in BHMR Position Change Resulting Position Resulting Letter
B 2 \( +2 \) 4 D
H 8 \( -2 \) 6 F
M 13 \( +2 \) 15 O
R 18 \( -2 \) 16 P

Following the pattern, the letter cluster related to 'BHMR' is 'DFOP'.

Comparing this result with the given options, we find that 'DFOP' matches one of the choices.

Revision Table: Letter Analogy Patterns

Letter analogy questions often follow specific patterns. Understanding these can help solve problems faster.

Type of Pattern Description Example
Positional Shift Adding or subtracting a fixed number from letter positions. Can be constant or varying per letter. A to C (+2), B to D (+2)
Reverse Order Letters are in reverse alphabetical order or a section is reversed. ABC to CBA, ZYX to XYZ
Alternating Pattern Different operations (e.g., +2, -1) apply to alternate letters or positions. Our example (FKPV to HIRT) uses +2, -2, +2, -2 which is an alternating pattern.
Skip Letter Pattern Skipping a fixed number of letters between consecutive letters in the sequence. A, C, E, G (skipping 1 letter each time)

Additional Information: Solving Reasoning Questions

Reasoning questions, especially analogies, test your ability to identify relationships and apply rules. Here are some tips:

  • Practice recognizing common patterns like positional shifts, skips, or reversals.
  • Write down the alphabetical positions of letters if it helps visualize the pattern.
  • Break down the analogy into smaller parts (letter by letter).
  • Check if the pattern identified for the first pair consistently applies.
  • Consider different types of relationships: position, vowel/consonant, alphabetical order, etc.
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Important Questions from Letter based

  1. Identify the odd one from the following.

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