Discussion
The following question is based on the following alphabet series.
A B C D E F G H I J K L M
N O P Q R S T U V W X Y Z
Which letter is exactly midway between H and S in the given alphabet ?
Answer: D
Correct answer: No such letter
H is the 8th letter and S the 19th, so the midpoint is
\[ \frac{8+19}{2} = 13.5 \]
which falls between M and N rather than on a letter. There are ten letters between H and S, an even number, so no single letter can sit exactly in the middle.
The check is quick: a midpoint letter exists only when the two positions have the same parity, and 8 and 19 do not.
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