Number Series, Coding, Odd Man OutMTP Dec 2023 Series IIQuestion 2144 of 217
All Questions

If in a code, MIND becomes KGLB and ARGUE becomes YPESN, then what will DIAGRAM be in that code?

Options

ABGYEPYK
BBGYPYEK
CGLPEYKB
DLKRGYPK
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Correct Answer

✅ Option a — BGYEPYK

All Options:

  • ABGYEPYK
  • BBGYPYEK
  • CGLPEYKB
  • DLKRGYPK

Detailed Solution & Explanation

Let's identify the shift pattern by examining the alphabetical positions in the given examples:
1. For the word MIND→KGLB\displaystyle MIND \rightarrow KGLB:
- M (13)→−2K (11)\displaystyle \text{M (13)} \xrightarrow{-2} \text{K (11)}
- I (9)→−2G (7)\displaystyle \text{I (9)} \xrightarrow{-2} \text{G (7)}
- N (14)→−2L (12)\displaystyle \text{N (14)} \xrightarrow{-2} \text{L (12)}
- D (4)→−2B (2)\displaystyle \text{D (4)} \xrightarrow{-2} \text{B (2)}
The pattern is a constant backward shift of −2\displaystyle -2 for each letter.

2. For the word ARGUE→YPESN\displaystyle ARGUE \rightarrow YPESN, we can verify:
- A (1)→−2Y (25)\displaystyle \text{A (1)} \xrightarrow{-2} \text{Y (25)} (circular backward shift)
- R (18)→−2P (16)\displaystyle \text{R (18)} \xrightarrow{-2} \text{P (16)}
- G (7)→−2E (5)\displaystyle \text{G (7)} \xrightarrow{-2} \text{E (5)}
- U (21)→−2S (19)\displaystyle \text{U (21)} \xrightarrow{-2} \text{S (19)}
- E (5)→−2C (3)\displaystyle \text{E (5)} \xrightarrow{-2} \text{C (3)} (misprinted as N\displaystyle N in the prompt)
This confirms the −2\displaystyle -2 shift pattern.

Now, let's apply this same shift of −2\displaystyle -2 to the word DIAGRAM\displaystyle DIAGRAM:
1. D (4)→−2B (2)\displaystyle \text{D (4)} \xrightarrow{-2} \text{B (2)}
2. I (9)→−2G (7)\displaystyle \text{I (9)} \xrightarrow{-2} \text{G (7)}
3. A (1)→−2Y (25)\displaystyle \text{A (1)} \xrightarrow{-2} \text{Y (25)}
4. G (7)→−2E (5)\displaystyle \text{G (7)} \xrightarrow{-2} \text{E (5)}
5. R (18)→−2P (16)\displaystyle \text{R (18)} \xrightarrow{-2} \text{P (16)}
6. A (1)→−2Y (25)\displaystyle \text{A (1)} \xrightarrow{-2} \text{Y (25)}
7. M (13)→−2K (11)\displaystyle \text{M (13)} \xrightarrow{-2} \text{K (11)}

Combining these letters, we get the code BGYEPYK\displaystyle BGYEPYK.

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

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