Number Series, Coding and DecodingMCQPYQ Jun 23Question 2104 of 217
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In certain language, PEAR is coded as 7519, and TOIL is coded as 2693, then how DOCTOR be written in that code?

Options

A463293
B463239
C463269
D463296
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Correct Answer

✅ Option c — 463269

All Options:

  • A463293
  • B463239
  • C463269
  • D463296

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Detailed Solution & Explanation

We can determine the code for each letter using direct letter-to-digit substitution from the given examples:
From the word PEAR→7519\displaystyle PEAR \rightarrow 7519, we have:
P=7\displaystyle P = 7, E=5\displaystyle E = 5, A=1\displaystyle A = 1, R=9\displaystyle R = 9
From the word TOIL→2693\displaystyle TOIL \rightarrow 2693, we have:
T=2\displaystyle T = 2, O=6\displaystyle O = 6, I=9\displaystyle I = 9, L=3\displaystyle L = 3

Now, let's determine the code for the word DOCTOR\displaystyle DOCTOR:
1. The letter D\displaystyle D is not in the examples, but looking at the options, all of them start with 4\displaystyle 4, so we can deduce that D=4\displaystyle D = 4.
2. The letter O\displaystyle O is coded as 6\displaystyle 6.
3. The letter C\displaystyle C is not in the examples, but looking at the options, the third digit is 3\displaystyle 3, so we can deduce that C=3\displaystyle C = 3.
4. The letter T\displaystyle T is coded as 2\displaystyle 2.
5. The letter O\displaystyle O is coded as 6\displaystyle 6.
6. The letter R\displaystyle R is coded as 9\displaystyle 9.

Combining these codes, we get:
D→4\displaystyle D \rightarrow 4
O→6\displaystyle O \rightarrow 6
C→3\displaystyle C \rightarrow 3
T→2\displaystyle T \rightarrow 2
O→6\displaystyle O \rightarrow 6
R→9\displaystyle R \rightarrow 9

Therefore, the word DOCTOR\displaystyle DOCTOR is coded as 463269\displaystyle 463269.

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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