Number Series, Coding and DecodingMCQPYQ Nov. 19Question 2164 of 217
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SYSTEM is coded as $131625$ then TERMS is will be coded as?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — $62451$

All Options:

  • A$62251$
  • B$62451$
  • C$64251$
  • D$62415$

Detailed Solution & Explanation

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

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

Putting these together, the code must be of the form $62\_51\displaystyle . Looking at the options:<br>- Option B is &#36;62451, which perfectly matches the pattern with R→4\displaystyle R\displaystyle \text{R} →\displaystyle \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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