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Question

In the following question, select the related letters from the given alternatives.

PHONE : QJRRJ ∷ HELLO : ?

This question was previously asked in
SSC Stenographer 2017 Previous Year Paper (14-Sep-2017) (Shift 1)
The correct answer is

IGOPT

Understanding Letter Analogies and Patterns

This question asks us to find the relationship between a pair of letters or words and then apply that same relationship to another word to find its corresponding letters. This type of problem is common in verbal reasoning and tests your ability to identify patterns in letter sequences.

Analyzing the Relationship: PHONE to QJRRJ

Let's look at how each letter in 'PHONE' changes to become the corresponding letter in 'QJRRJ'. We can find the position of each letter in the alphabet (A=1, B=2, ... Z=26) or simply count the shift.

  • P to Q: P is followed immediately by Q. This is a shift of +1.
  • H to J: After H comes I, then J. This is a shift of +2.
  • O to R: After O comes P, Q, then R. This is a shift of +3.
  • N to R: After N comes O, P, Q, then R. This is a shift of +4.
  • E to J: After E comes F, G, H, I, then J. This is a shift of +5.

The pattern we observe in the letter transformation is a sequential increase in the shift amount for each letter: +1, +2, +3, +4, +5.

Applying the Pattern to HELLO

Now, we apply the same +1, +2, +3, +4, +5 shift pattern to the letters in the word 'HELLO':

  • H: Apply a +1 shift. H + 1 letter = I
  • E: Apply a +2 shift. E + 2 letters = G
  • L: Apply a +3 shift. L + 3 letters = O
  • L: Apply a +4 shift. L + 4 letters = P
  • O: Apply a +5 shift. O + 5 letters = T

By applying the pattern, the word HELLO transforms into IGOPT.

Checking the Options

Let's compare our result, IGOPT, with the given alternatives:

  • Option 1: IGOPT - This matches our calculated result.
  • Option 2: IGOPS - The last letter 'S' does not match our 'T'.
  • Option 3: IGOQT - The fourth letter 'Q' does not match our 'P', and the last letter 'T' matches.
  • Option 4: IGOQS - The fourth letter 'Q' does not match our 'P', and the last letter 'S' does not match our 'T'.

Our calculated result, IGOPT, matches Option 1.

Conclusion

Based on the pattern observed between PHONE and QJRRJ, applying the same sequential shift (+1, +2, +3, +4, +5) to HELLO results in IGOPT.

Revision Table: Letter Shifts

Word Letter 1 Letter 2 Letter 3 Letter 4 Letter 5 Pattern Applied
PHONE P H O N E
QJRRJ Q J R R J +1, +2, +3, +4, +5
HELLO H E L L O
Result I G O P T +1, +2, +3, +4, +5

Additional Information: Coding and Decoding Letter Patterns

Letter coding and decoding is a type of verbal reasoning question where letters in a word are replaced by other letters or numbers according to a specific rule or pattern. To solve these questions, you need to:

  • Identify the original word and the coded word.
  • Analyze the relationship between the letters of the original word and the coded word. This relationship could be based on letter positions, skipping letters, reversing the order, or a combination of rules.
  • Determine the exact pattern or rule followed in the transformation.
  • Apply the same rule to the new word provided in the question to find its coded form.

Common patterns include simple addition/subtraction of letter positions, shifts that cycle around the alphabet (A after Z, Z before A), or more complex substitutions.

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