Number Series, Coding and DecodingMCQMTP June 24 Series IIQuestion 2151 of 217
All Questions

If in a certain code '493' means 'Friendship difficult challenge', '961' means, 'Struggle difficult Exam', and '178' means 'Exam believable subject', then which digit is used for 'believable'?

Options

A7 or 8
B7 or 3
C9
D9 or 1
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Correct Answer

✅ Option a — 7 or 8

All Options:

  • A7 or 8
  • B7 or 3
  • C9
  • D9 or 1

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Detailed Solution & Explanation

To find the code for the word **'believable'**, we compare the given coded sentences:
1. ′493′  ⟹  ’Friendship difficult challenge’\displaystyle '493' \implies \text{'Friendship difficult challenge'}
2. ′961′  ⟹  ’Struggle difficult Exam’\displaystyle '961' \implies \text{'Struggle difficult Exam'}
3. ′178′  ⟹  ’Exam believable subject’\displaystyle '178' \implies \text{'Exam believable subject'}

Comparing sentences (1) and (2):
- The common digit is 9\displaystyle 9.
- The common word is 'difficult'.
- Therefore, the digit 9\displaystyle 9 represents 'difficult'.

Comparing sentences (2) and (3):
- The common digit is 1\displaystyle 1.
- The common word is 'Exam'.
- Therefore, the digit 1\displaystyle 1 represents 'Exam'.

Now, examining sentence (3):
- The code is ′178′\displaystyle '178' and the words are 'Exam believable subject'.
- Since 1\displaystyle 1 represents 'Exam', the remaining digits 7\displaystyle 7 and 8\displaystyle 8 must correspond to the remaining words 'believable' and 'subject'.
- Because there is no further information to distinguish between them, the word 'believable' could be represented by either 7\displaystyle 7 or 8\displaystyle 8.

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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