Number Series, Coding and DecodingMCQPYQ May 18Question 2083 of 217
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In a certain code '256' means 'you are good', '637' means 'we are bad' and '358' means 'good and bad'. Which digit represents 'and' in that code?

Options

A2
B5
C8
D3
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Correct Answer

✅ Option c — 8

All Options:

  • A2
  • B5
  • C8
  • D3

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Detailed Solution & Explanation

To find the digit that represents the word **'and'** in the given code language:

Let us write the equations based on the statements given:
1. ′256′=’you are good’(Eq. 1)\displaystyle '256' = \text{'you are good'}\quad(\text{Eq. 1})
2. ′637′=’we are bad’(Eq. 2)\displaystyle '637' = \text{'we are bad'}\quad(\text{Eq. 2})
3. ′358′=’good and bad’(Eq. 3)\displaystyle '358' = \text{'good and bad'}\quad(\text{Eq. 3})

Let us solve for each word step-by-step by comparing equations:

- **Finding 'are':**
Comparing Eq. 1 and Eq. 2, the common word is **'are'** and the common digit is **'6'**.
’are’→6\text{'are'} \to 6
- **Finding 'good':**
Comparing Eq. 1 and Eq. 3, the common word is **'good'** and the common digit is **'5'**.
’good’→5\text{'good'} \to 5
- **Finding 'bad':**
Comparing Eq. 2 and Eq. 3, the common word is **'bad'** and the common digit is **'3'**.
’bad’→3\text{'bad'} \to 3
- **Finding 'and':**
Now we look at Eq. 3, ′358′=’good and bad’\displaystyle '358' = \text{'good and bad'}.
Since we have already determined that ’good’→5\displaystyle \text{'good'} \to 5 and ’bad’→3\displaystyle \text{'bad'} \to 3, the remaining digit **'8'** must correspond to the remaining word **'and'**.
’and’→8\text{'and'} \to 8

Hence, **Option C** 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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