Number Series, Coding and DecodingMCQMTP Dec 22 - Series I/ MTP Sep 24Question 2132 of 217
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In a code, TEACHER is written as VGCEJGT. How is CHILDREN written in that code?

Options

AEJKNEGTP
BEJKNFGTP
CEJRNFGTO
DEJKNFETP
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Correct Answer

Option bEJKNFGTP

All Options:

  • AEJKNEGTP
  • BEJKNFGTP
  • CEJRNFGTO
  • DEJKNFETP

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Detailed Solution & Explanation

Let's identify the shift pattern in the coding of TEACHERVGCEJGT\displaystyle TEACHER \rightarrow VGCEJGT by examining the alphabetical positions:
- T (20)+2V (22)\displaystyle \text{T (20)} \xrightarrow{+2} \text{V (22)}
- E (5)+2G (7)\displaystyle \text{E (5)} \xrightarrow{+2} \text{G (7)}
- A (1)+2C (3)\displaystyle \text{A (1)} \xrightarrow{+2} \text{C (3)}
- C (3)+2E (5)\displaystyle \text{C (3)} \xrightarrow{+2} \text{E (5)}
- H (8)+2J (10)\displaystyle \text{H (8)} \xrightarrow{+2} \text{J (10)}
- E (5)+2G (7)\displaystyle \text{E (5)} \xrightarrow{+2} \text{G (7)}
- R (18)+2T (20)\displaystyle \text{R (18)} \xrightarrow{+2} \text{T (20)}

The pattern is a constant forward shift of +2\displaystyle +2 for each letter.

Now, let's apply the +2\displaystyle +2 shift to the word CHILDREN\displaystyle CHILDREN:
1. C (3)+2E (5)\displaystyle \text{C (3)} \xrightarrow{+2} \text{E (5)}
2. H (8)+2J (10)\displaystyle \text{H (8)} \xrightarrow{+2} \text{J (10)}
3. I (9)+2K (11)\displaystyle \text{I (9)} \xrightarrow{+2} \text{K (11)}
4. L (12)+2N (14)\displaystyle \text{L (12)} \xrightarrow{+2} \text{N (14)}
5. D (4)+2F (6)\displaystyle \text{D (4)} \xrightarrow{+2} \text{F (6)}
6. R (18)+2T (20)\displaystyle \text{R (18)} \xrightarrow{+2} \text{T (20)}
7. E (5)+2G (7)\displaystyle \text{E (5)} \xrightarrow{+2} \text{G (7)}
8. N (14)+2P (16)\displaystyle \text{N (14)} \xrightarrow{+2} \text{P (16)}

Combining these letters, we get the code EJKNFGTP\displaystyle EJKNFGTP.

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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