Question 63

If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at $$315^{th}$$ position in this arrangement is :

NAGPUR has 6 distinct letters: A,G,N,P,R,U. Alphabetical: A,G,N,P,R,U.

Words starting with A: 5! = 120. Starting with G: 120. Total = 240.

Words starting with N: 241-360. First 2 letters NA: 4! = 24 (241-264). NG: 24 (265-288). NP: 24 (289-312).

Word 313-336 start with NR. 313: NRAGPU, 314: NRAGUP, 315: NRAPGU.

The correct answer is Option (3): NRAPGU.

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