Which letter in the word "TREATMENT" is equidistant from both ends?
- (a)A
- (b)T
- (c)E
- (d)M
Answer
Why
Correct — B.
Rule: the letter equidistant from both ends is the middle letter, with equal counts on each side.
TREATMENT has 9 letters: T R E A T M E N T.
Middle position = (9 + 1) ÷ 2 = 5th.
The 5th letter is T, with 4 letters on each side → option (b).
Why the others are wrong
- (a)A — A is the 4th letter: 3 letters stand to its left and 5 to its right. Equal counts on both sides need the 5th letter.
- (c)E — E stands 3rd from the left and 3rd from the right, but those are two different E's. Each has unequal sides: the 3rd letter has 2 on its left and 6 on its right.
- (d)M — M is the 6th letter: 5 letters to its left and 3 to its right. It sits one place past the middle.
Concept
Position questions turn a word into numbered slots. In a word of odd length n, the letter with equal counts on both sides sits at position (n + 1) ÷ 2.
Check it from both ends: 5th from the left of TREATMENT is T, and 5th from the right (9 − 5 + 1 = 5) is the same T. A word of even length has no such letter, because its middle falls between two letters.
TREATMENT holds three T's and two E's. Only the T in 5th place is equidistant: the T's at positions 1 and 9 are the ends themselves, and the E's at 3 and 7 mirror each other without either being in the middle.
Key facts
- TREATMENT by position: T1 R2 E3 A4 T5 M6 E7 N8 T9.
- Middle position of an odd-length word = (n + 1) ÷ 2, so 5 for nine letters.
- The kth letter from the right is the (n − k + 1)th from the left.
Study next
Common traps
- Picking E because an E stands 3rd from each end: that is two separate letters, not one letter in the middle
- Counting five from one end and landing one place off, on A or M
The stem prints a nine-letter word in quotes and offers single letters. Two of the options, T and E, occur more than once in the word, so the item rewards counting positions rather than spotting repeats.
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