Number Series, Coding and DecodingMCQMTP March 22Question 2059 of 217
All Questions

What comes at last place in R, U, X, A, D, ?

Options

AE
BF
CG
DH
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Correct Answer

Option cG

All Options:

  • AE
  • BF
  • CG
  • DH

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Detailed Solution & Explanation

To find the letter that comes next in the sequence R,U,X,A,D,?\displaystyle R, U, X, A, D, ?, let us convert each letter to its alphabetical position (where A=1,B=2,,Z=26\displaystyle A = 1, B = 2, \dots, Z = 26):

- R=18\displaystyle R = 18
- U=21\displaystyle U = 21
- X=24\displaystyle X = 24
- A=1\displaystyle A = 1 (or 27\displaystyle 27 in modular arithmetic)
- D=4\displaystyle D = 4 (or 30\displaystyle 30 in modular arithmetic)

Now, we calculate the differences between successive letters:
- UR=2118=+3\displaystyle U - R = 21 - 18 = +3
- XU=2421=+3\displaystyle X - U = 24 - 21 = +3
- AX=2724=+3\displaystyle A - X = 27 - 24 = +3
- DA=3027=+3\displaystyle D - A = 30 - 27 = +3

We observe a constant shift of +3\displaystyle +3 (skipping exactly 2 letters between each term).
Following this pattern, the position of the next letter is:
D+3=4+3=7D + 3 = 4 + 3 = 7
The 7\displaystyle 7-th letter of the alphabet is G\displaystyle G.

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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