Number Series, Coding and DecodingMCQMTP June 24 Series IIQuestion 2150 of 217
All Questions

If 'INSURE' is coded as 951395\displaystyle 951395, then how will 'PATRIOT' be coded?

Options

A7126299\displaystyle 7126299
B7129926\displaystyle 7129926
C7129962\displaystyle 7129962
D7129924\displaystyle 7129924
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Correct Answer

✅ Option c — 7129962\displaystyle 7129962

All Options:

  • A7126299\displaystyle 7126299
  • B7129926\displaystyle 7129926
  • C7129962\displaystyle 7129962
  • D7129924\displaystyle 7129924

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Detailed Solution & Explanation

Let's identify the relationship between the letters in INSURE\displaystyle INSURE and the digits in the code 951395\displaystyle 951395 by looking at their alphabetical positions and their single-digit sums (digital roots):
- I (9)→9\displaystyle \text{I (9)} \rightarrow 9
- N (14)→1+4=5\displaystyle \text{N (14)} \rightarrow 1 + 4 = 5
- S (19)→1+9=10→1+0=1\displaystyle \text{S (19)} \rightarrow 1 + 9 = 10 \rightarrow 1 + 0 = 1
- U (21)→2+1=3\displaystyle \text{U (21)} \rightarrow 2 + 1 = 3
- R (18)→1+8=9\displaystyle \text{R (18)} \rightarrow 1 + 8 = 9
- E (5)→5\displaystyle \text{E (5)} \rightarrow 5

The coding rule is to sum the digits of the alphabetical position of each letter until a single digit is obtained.

Now, let's apply this same rule to the word PATRIOT\displaystyle PATRIOT:
1. P (16)→1+6=7\displaystyle \text{P (16)} \rightarrow 1 + 6 = 7
2. A (1)→1\displaystyle \text{A (1)} \rightarrow 1
3. T (20)→2+0=2\displaystyle \text{T (20)} \rightarrow 2 + 0 = 2
4. R (18)→1+8=9\displaystyle \text{R (18)} \rightarrow 1 + 8 = 9
5. I (9)→9\displaystyle \text{I (9)} \rightarrow 9
6. O (15)→1+5=6\displaystyle \text{O (15)} \rightarrow 1 + 5 = 6
7. T (20)→2+0=2\displaystyle \text{T (20)} \rightarrow 2 + 0 = 2

Combining these digits, we get the code 7129962\displaystyle 7129962.

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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