Number Series, Coding, Odd Man OutMTP 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 c — G

All Options:

  • AE
  • BF
  • CG
  • DH

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:
- U−R=21−18=+3\displaystyle U - R = 21 - 18 = +3
- X−U=24−21=+3\displaystyle X - U = 24 - 21 = +3
- A−X=27−24=+3\displaystyle A - X = 27 - 24 = +3
- D−A=30−27=+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.

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