Number Series, Coding, Odd Man OutMTP June 24 Series IQuestion 2148 of 217
All Questions

If HEALTH is written as GSKZDG, then how will NORTH be written in that code?

Options

AOPSUI
BGSONM
CFRPMI
DIUSPO
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Correct Answer

✅ Option b — GSONM

All Options:

  • AOPSUI
  • BGSONM
  • CFRPMI
  • DIUSPO

Detailed Solution & Explanation

Let's analyze the coding pattern of HEALTH→GSKZDG\displaystyle HEALTH \rightarrow GSKZDG:
1. Write the word HEALTH\displaystyle HEALTH in reverse order:
H−T−L−A−E−HH-T-L-A-E-H
2. Shift each letter backward by −1\displaystyle -1:
- H (8)→−1G (7)\displaystyle \text{H (8)} \xrightarrow{-1} \text{G (7)}
- T (20)→−1S (19)\displaystyle \text{T (20)} \xrightarrow{-1} \text{S (19)}
- L (12)→−1K (11)\displaystyle \text{L (12)} \xrightarrow{-1} \text{K (11)}
- A (1)→−1Z (26)\displaystyle \text{A (1)} \xrightarrow{-1} \text{Z (26)} (circular backward shift)
- E (5)→−1D (4)\displaystyle \text{E (5)} \xrightarrow{-1} \text{D (4)}
- H (8)→−1G (7)\displaystyle \text{H (8)} \xrightarrow{-1} \text{G (7)}
This matches the given code GSKZDG\displaystyle GSKZDG. The rule is to reverse the word and subtract −1\displaystyle -1 from each letter.

Now, let's apply this pattern to the word NORTH\displaystyle NORTH:
1. Write the word NORTH\displaystyle NORTH in reverse order:
H−T−R−O−NH-T-R-O-N
2. Shift each letter backward by −1\displaystyle -1:
- H (8)→−1G (7)\displaystyle \text{H (8)} \xrightarrow{-1} \text{G (7)}
- T (20)→−1S (19)\displaystyle \text{T (20)} \xrightarrow{-1} \text{S (19)}
- R (18)→−1Q (17)\displaystyle \text{R (18)} \xrightarrow{-1} \text{Q (17)} (misprinted as O\displaystyle O in Option B)
- O (15)→−1N (14)\displaystyle \text{O (15)} \xrightarrow{-1} \text{N (14)}
- N (14)→−1M (13)\displaystyle \text{N (14)} \xrightarrow{-1} \text{M (13)}

This yields the mathematically correct code GSQNM\displaystyle GSQNM.

Note on Discrepancy: The mathematically correct code is GSQNM\displaystyle GSQNM. However, the official answer key marks Option B (GSONM\displaystyle GSONM) as the correct answer. This is a known typographical error where the letter Q\displaystyle Q was misprinted as O\displaystyle O. To remain aligned with the official key, we note this discrepancy and follow the key.

Hence, **Option B** is the correct answer.

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