A jazz group plans to play six pieces - J, K, L, M, N and O - during a set . Each piece will be played exactly thrice. The order in which the pieces are to be played is subject to the following conditions:
N must be played before J and before O.
M must be played later than J.
K must be the third Piece.
Which of the following could be the order in which the pieces are played ?

Options

A. L is played after K.
B. M is played after N.
C. N is played after K.
D. O is played after M.

Answer

B

Explanation

Begin by summarising the information: `Nlt(J+O)`
`JltM`
K = 3
There is one further conclusion that can be drawn. Since N is to be played before J and J before M, N must be played before M.
At the outset, we deduced one further conclusion: that N must come before M. That the other choices are not logically necessary can be demonstrated by the following possible order:
`{:("1 2 3 4 5 6"),("N L K O J M"):}`