Number Series, Coding and DecodingMCQPYQ Nov. 19Question 2164 of 217
All Questions

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

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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.

About This Chapter: Number Series, Coding and Decoding

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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