Number Series, Coding, Odd Man OutPYQ Nov. 19Question 2164 of 217
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SYSTEM is coded as 131625\displaystyle 131625 then TERMS is will be coded as?

Options

A62251\displaystyle 62251
B62451\displaystyle 62451
C64251\displaystyle 64251
D62415\displaystyle 62415
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Correct Answer

✅ Option b — 62451\displaystyle 62451

All Options:

  • A62251\displaystyle 62251
  • B62451\displaystyle 62451
  • C64251\displaystyle 64251
  • D62415\displaystyle 62415

Detailed Solution & Explanation

Let's establish the letter-to-digit mapping from the word **SYSTEM** o131625\displaystyle o 131625:
- S→1\displaystyle \text{S} \to 1
- Y→3\displaystyle \text{Y} \to 3
- S→1\displaystyle \text{S} \to 1
- T→6\displaystyle \text{T} \to 6
- E→2\displaystyle \text{E} \to 2
- M→5\displaystyle \text{M} \to 5

We want to code the word **TERMS**:
- T→6\displaystyle \text{T} \to 6
- E→2\displaystyle \text{E} \to 2
- R→?\displaystyle \text{R} \to ? (R is not in SYSTEM, so it must correspond to a new digit, which is 4\displaystyle 4)
- M→5\displaystyle \text{M} \to 5
- S→1\displaystyle \text{S} \to 1

Putting these together, the code must be of the form 62_51\displaystyle 62\_51. Looking at the options:
- Option B is 62451\displaystyle 62451, which perfectly matches the pattern with R→4\displaystyle \text{R} \to 4.

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

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