Number Series, Coding and DecodingMCQPYQ May 18Question 2084 of 217
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If LOSE is coded as 1357 and GAIN is coded as 2468, what do figure 82146 for?

Options

ANGLAI
BNGLIA
CGNLIA
DGNLAI
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Correct Answer

✅ Option a — NGLAI

All Options:

  • ANGLAI
  • BNGLIA
  • CGNLIA
  • DGNLAI

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Detailed Solution & Explanation

To find the word that corresponds to the code **82146**, let us extract the direct letter-to-digit mappings from the given words **LOSE** and **GAIN**:

From **LOSE** =1357\displaystyle = 1357:
- L→1\displaystyle L \to 1
- O→3\displaystyle O \to 3
- S→5\displaystyle S \to 5
- E→7\displaystyle E \to 7

From **GAIN** =2468\displaystyle = 2468:
- G→2\displaystyle G \to 2
- A→4\displaystyle A \to 4
- I→6\displaystyle I \to 6
- N→8\displaystyle N \to 8

Now, we translate the code digits **82146** step-by-step using these mappings:
- 8→N\displaystyle 8 \to N
- 2→G\displaystyle 2 \to G
- 1→L\displaystyle 1 \to L
- 4→A\displaystyle 4 \to A
- 6→I\displaystyle 6 \to I

Putting the letters in order, the coded figure **82146** translates exactly to **NGLAI**.

*Note on Answer Key Discrepancy:* The textbook answer key lists **Option B** (NGLIA\displaystyle NGLIA) as correct. However, NGLIA\displaystyle NGLIA translates to 82164\displaystyle 82164 (since I→6\displaystyle I \to 6 and A→4\displaystyle A \to 4), whereas NGLAI\displaystyle NGLAI translates to the exact digits 82146\displaystyle 82146 given in the question. Therefore, the answer key's selection of Option B is a typographical error, and the correct logical and literal answer is **Option A** (NGLAI\displaystyle NGLAI).

Hence, **Option A** 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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