Number Series, Coding and DecodingMCQPYQ Dec 22Question 2101 of 217
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In certain code language, if TOUR is written as 1234, CLEAR is written 56784 and SPACE is written as 90847, find the code for CARE?

Options

A1247
B4847
C5247
D5847
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Correct Answer

✅ Option d — 5847

All Options:

  • A1247
  • B4847
  • C5247
  • D5847

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Detailed Solution & Explanation

To find the code for the word **CARE** based on the given codes **TOUR** =1234\displaystyle = 1234, **CLEAR** =56784\displaystyle = 56784, and **SPACE** =90847\displaystyle = 90847:

Let us first identify and resolve two significant typographical errors in the question and answer key:
1. **Typo in the Word 'SPACE':** The word **SPACE** =90847\displaystyle = 90847 is a typographical error for **SPARE** =90847\displaystyle = 90847. If it were SPACE, then the letter C\displaystyle C would be coded as 4\displaystyle 4 (which contradicts C=5\displaystyle C = 5 from CLEAR). If it is **SPARE**, the letter R\displaystyle R is coded as 4\displaystyle 4, which is perfectly consistent with both **TOUR** and **CLEAR**.
2. **Typo in the Answer Key:** The official answer key lists **Option C** (5247\displaystyle 5247) as correct. However, 5247\displaystyle 5247 codes the second letter A\displaystyle A as 2\displaystyle 2. In the given codes, 2\displaystyle 2 represents O\displaystyle O (from TOUR) and A\displaystyle A is represented by 8\displaystyle 8 (from CLEAR and SPARE). Therefore, the correct code for **CARE** must be **5847** (Option D), and the selection of Option C in the answer key is a typographical compilation error.

Let us write down the corrected letter-to-digit mappings based on **TOUR**, **CLEAR**, and **SPARE**:
- T→1\displaystyle T \to 1
- O→2\displaystyle O \to 2
- U→3\displaystyle U \to 3
- R→4\displaystyle R \to 4
- C→5\displaystyle C \to 5
- L→6\displaystyle L \to 6
- E→7\displaystyle E \to 7
- A→8\displaystyle A \to 8
- S→9\displaystyle S \to 9
- P→0\displaystyle P \to 0

Now we apply this mapping to code the word **CARE**:
- C→5\displaystyle C \to 5
- A→8\displaystyle A \to 8
- R→4\displaystyle R \to 4
- E→7\displaystyle E \to 7

Putting the digits together in sequence, the correct code for **CARE** is **5847**, which corresponds to **Option D**.

Hence, **Option D** 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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