Number Series, Coding, Odd Man OutMTP Nov 21Question 2125 of 217
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If 'SYSTEM' is coded as 131625 then 'TERMS' will be coded as ?

Options

A62251
B62451
C62415
D62415
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Correct Answer

✅ Option b — 62451

All Options:

  • A62251
  • B62451
  • C62415
  • D62415

Detailed Solution & Explanation

We can determine the digit for each letter using direct substitution from the given word SYSTEM→131625\displaystyle SYSTEM \rightarrow 131625:
S=1\displaystyle S = 1
Y=3\displaystyle Y = 3
S=1\displaystyle S = 1
T=6\displaystyle T = 6
E=2\displaystyle E = 2
M=5\displaystyle M = 5

Now, let's find the code for the word TERMS\displaystyle TERMS:
- T→6\displaystyle T \rightarrow 6
- E→2\displaystyle E \rightarrow 2
- R→\displaystyle R \rightarrow Unknown digit (not present in SYSTEM\displaystyle SYSTEM)
- M→5\displaystyle M \rightarrow 5
- S→1\displaystyle S \rightarrow 1

The coded word must follow the pattern 6251\displaystyle 62\\_51, where the middle digit is unknown. Let's compare this with the given options:
- Option A: 62251\displaystyle 62251 (assigns 2\displaystyle 2 to R\displaystyle R, but 2\displaystyle 2 is already assigned to E\displaystyle E)
- Option B: 62451\displaystyle 62451 (assigns 4\displaystyle 4 to R\displaystyle R, which is a new digit)
- Option C & D: 62415\displaystyle 62415 (does not match the pattern)

Therefore, the only logically consistent code is 62451\displaystyle 62451, where R=4\displaystyle R = 4.

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

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