M4maths Previous Puzzles

18 Feb 2011 dictionary

what would be the 146th word in the dictionary of words formed by the letters of the word "SECRET"

OPtion

1) ECTSER
2) ECTESR
3) ECRTSE
4) ESRCTE
5) ESRTCE
6) ESRCET
7) ERESCT
8) ERETCS
9) ERECST
10) ERESTC

Solution

This question can be solved by equidistribution of words from every letter symmetrically.
on arranging these 6 letters in english alphabetic order we get
C(1 to 60) E(61 to 120) E(121 to 180) similarly .........
so 146th word would be start from E
next step for next letter
C(61 to 84) E(85 to 108) R(109 to 132) S(133 to 156)similarly .......
so next letter would be S
next step
C(133 to 138) E(139 to 144) R(145 to 150) similarly ...........
so next letter would be R
next step
C(145-146) E(147-148) T(149-150)
so next letter would be C
next step
E(145) T(146)
so next letter would be T
and last letter is E

Correct Option: 4 Best Solution (0)