Five horses - 'FIRST', 'SECOND', 'THIRD', 'FOURTH' and 'FIFTH' ran in the race. (There were no ties.)
'FIRST' did not come first.
'SECOND' was neither first nor last.
'THIRD' came in one place after 'FIRST'.
'FOURTH' was not second.
'FIFTH' was two places below 'FOURTH'.
In what order did the horses finish?
(In reply to
Full Solution by K Sengupta)
By clues (i) and (ii), neither FIRST nor SECOND assumed the first position.
By clues, (iii) and (v), each of THIRD and FIFTH came at least one place after some other horse. Therefore, they cannot assume the first position.
Accordingly, FOURTH assumed the first position.
Hence by clue (v), FIFTH assumed the third position.
The standings are now as follows:
FOURTH --> 1st position.
.............. --> 2nd position.
FIFTH --> 3rd position.
..........--> 4th position
........---> 5th position
By Clue (iii), THIRD came precisely one place after the FIRST. In terms of the abovementioned chart, the only way this is possible is for FIRST to assume the 4th position and for THIRD to assume the 5th position.
The remaining horse, that is SECOND must therefore assume the 2nd position.
Summarizing the foregoing conclusions, we must have:
FOURTH --> 1st position.
SECOND --> 2nd position.
FIFTH --> 3rd position.
FIRST --> 4th position.
THIRD --> 5th position.
Edited on July 29, 2022, 2:37 am