Question

If ‘ORANGE' is coded as ‘PSBOHF', how is ‘GRAPES' coded?

• A. \(HSBQFT\)
• B. \(HRBQFT\)
• C. \(HSBQFS\)
• D. \(GSBQFT\)

Hint:

Convert two or three letter pairs from the given example into their alphabet positions and find the numeric difference between each pair. If that difference stays the same every time, it is the shift to apply to every letter of the new word.

Answer 1

The Correct Option is A

Topic: Coding and Decoding (Logical Reasoning)
Step 1: Understanding the Question:
The problem provides an example of a word and its coded version. We need to identify the pattern of transformation and apply it to a new word.
Step 2: Key Formula or Approach:
Compare each letter of the original word to the corresponding letter of the coded word to see if there is a shift in alphabetical position.
Step 3: Detailed Explanation:
Analyzing `ORANGE' \(\to\) `PSBOHF':
\(O + 1 = P\)
\(R + 1 = S\)
\(A + 1 = B\)
\(N + 1 = O\)
\(G + 1 = H\)
\(E + 1 = F\)
The pattern is that every letter is shifted forward by 1 (\(+1\) shift).
Applying this to `GRAPES':
\(G + 1 = H\)
\(R + 1 = S\)
\(A + 1 = B\)
\(P + 1 = Q\)
\(E + 1 = F\)
\(S + 1 = T\)
Step 4: Final Answer:
The code for `GRAPES' is HSBQFT.