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

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

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option c — $7129962$

All Options:

  • A$7126299$
  • B$7129926$
  • C$7129962$
  • D$7129924$

Detailed Solution & Explanation

Let's identify the relationship between the letters in INSURE\displaystyle INSURE and the digits in the code $951395bylookingattheiralphabeticalpositionsandtheirsingle−digitsums(digitalroots):<br>−\displaystyle by looking at their alphabetical positions and their single-digit sums (digital roots):<br>-I (9)\displaystyle \text{I (9)} \rightarrow 9<br>−\displaystyle <br>-N (14)\displaystyle \text{N (14)} \rightarrow 1 + 4 = 5<br>−\displaystyle <br>-S (19)\displaystyle \text{S (19)} \rightarrow 1 + 9 = 10 \rightarrow 1 + 0 = 1<br>−\displaystyle <br>-U (21)\displaystyle \text{U (21)} \rightarrow 2 + 1 = 3<br>−\displaystyle <br>-R (18)\displaystyle \text{R (18)} \rightarrow 1 + 8 = 9<br>−\displaystyle <br>-E (5)\displaystyle \text{E (5)} \rightarrow 5<br><br>Thecodingruleistosumthedigitsofthealphabeticalpositionofeachletteruntilasingledigitisobtained.<br><br>Now,let′sapplythissameruletotheword\displaystyle <br><br>The coding rule is to sum the digits of the alphabetical position of each letter until a single digit is obtained.<br><br>Now, let's apply this same rule to the wordPATRIOT:<br>1.\displaystyle :<br>1.P (16)\displaystyle \text{P (16)} \rightarrow 1 + 6 = 7<br>2.\displaystyle <br>2.A (1)\displaystyle \text{A (1)} \rightarrow 1<br>3.\displaystyle <br>3.T (20)\displaystyle \text{T (20)} \rightarrow 2 + 0 = 2<br>4.\displaystyle <br>4.R (18)\displaystyle \text{R (18)} \rightarrow 1 + 8 = 9<br>5.\displaystyle <br>5.I (9)\displaystyle \text{I (9)} \rightarrow 9<br>6.\displaystyle <br>6.O (15)\displaystyle \text{O (15)} \rightarrow 1 + 5 = 6<br>7.\displaystyle <br>7.T (20)\displaystyle \text{T (20)} \rightarrow 2 + 0 = 2\displaystyle <br><br>Combining these digits, we get the code &#36;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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