Number Series, Coding and DecodingMCQMTP June 2023 Series IIQuestion 2137 of 217
All Questions

If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for RESEARCH?

Options

A61214673
B61214673
C61216473
D61214743
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Correct Answer

✅ Option b — 61214673

All Options:

  • A61214673
  • B61214673
  • C61216473
  • D61214743

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Detailed Solution & Explanation

We can determine the code for each letter using direct substitution from the given examples:
1. From the word ROSE→6821\displaystyle ROSE \rightarrow 6821, we have:
R=6\displaystyle R = 6, O=8\displaystyle O = 8, S=2\displaystyle S = 2, E=1\displaystyle E = 1

2. From the word CHAIR→73456\displaystyle CHAIR \rightarrow 73456, we have:
C=7\displaystyle C = 7, H=3\displaystyle H = 3, A=4\displaystyle A = 4, I=5\displaystyle I = 5, R=6\displaystyle R = 6

3. From the word PREACH→961473\displaystyle PREACH \rightarrow 961473, we have:
P=9\displaystyle P = 9, R=6\displaystyle R = 6, E=1\displaystyle E = 1, A=4\displaystyle A = 4, C=7\displaystyle C = 7, H=3\displaystyle H = 3

We can see that all common letters (R\displaystyle R, E\displaystyle E, A\displaystyle A, C\displaystyle C, H\displaystyle H) have fully consistent digit assignments across all examples.

Now, let's construct the code for the word RESEARCH\displaystyle RESEARCH:
R→6\displaystyle R \rightarrow 6
E→1\displaystyle E \rightarrow 1
S→2\displaystyle S \rightarrow 2
E→1\displaystyle E \rightarrow 1
A→4\displaystyle A \rightarrow 4
R→6\displaystyle R \rightarrow 6
C→7\displaystyle C \rightarrow 7
H→3\displaystyle H \rightarrow 3

Combining these digits in order, we get the code 61214673\displaystyle 61214673.

Hence, **Option B** 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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