Reversed alphabet indexing – If the English alphabet is written in backward order (Z to A left-to-right), which letter is 5th to the left of the letter M in that arrangement?

Difficulty: Medium

Correct Answer: R

Explanation:


Introduction / Context:
Backward-alphabet problems demand careful handling of orientation. The alphabet is written left-to-right as Z, Y, X, …, A. “To the left of” means toward the Z-end in this layout. We are asked for the 5th letter to the left of M in that reversed sequence.



Given Data / Assumptions:

  • Backward sequence positions (1-based): 1 Z, 2 Y, 3 X, 4 W, 5 V, 6 U, 7 T, 8 S, 9 R, 10 Q, 11 P, 12 O, 13 N, 14 M, 15 L, …, 26 A.
  • We must move 5 places to the left (toward smaller indices).


Concept / Approach:
Locate M in the reversed list. As shown, M is at index 14. Moving 5 positions to the left means subtract 5 from the index: 14 − 5 = 9. Position 9 in the reversed list is the letter R.



Step-by-Step Solution:
Write reversed indices or recall: … 8:S, 9:R, 10:Q, 11:P, 12:O, 13:N, 14:M …Compute 14 − 5 = 9 → letter at 9 is R.Answer: R.



Verification / Alternative check:
Alternative mapping: In standard order A(1)…Z(26), the reverse position index rpos(letter) = 27 − pos(letter). For M (pos=13), rpos=14. Then 5 to the left is rpos=9; 27 − 9 = 18 in normal positions, which corresponds to R (A=1 → R=18). Both methods agree.



Why Other Options Are Wrong:

  • G/H/S/P: These correspond to other positions; none aligns with index 9 in the reversed ordering for this query.


Common Pitfalls:
Confusing “left” and “right” under reversal, or accidentally using the normal A-to-Z line. Always set the reversed layout explicitly and count carefully.



Final Answer:
R

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