M4maths Previous Puzzles

09 Aug 2012 Rank

Rank of the word THING in the dictionary of words formed by letters of the word THING.

OPtion

1) 97
2) 99
3) 101
4) 102
5) 105
6) 106
7) 109
8) 110
9) 111
10) none of these

Solution

On arranging the letters in order we get
G, H, I, N, T
T is 5th letter
then G, H, I, N
H is 2nd letter
then G, I, N
I is 2nd letter
then G, N
N is 2nd letter
then G
total no. of words = 5*4*3*2*1 = 120
so rank = (120/5)*4+(24/4)*1+(6/3)*1+(2/2)*1+1
= 96+6+2+1+1 = 106

Correct Option: 6 Best Solution (0)