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A jazz group plans to play six pieces - ...

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.
All of the following could be immediately after K, EXCEPT

A

J

B

L

C

M

D

N

Text Solution

Verified by Experts

The correct Answer is:
D

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.
N must be played before three other pieces (J, O and M), so (given that K is played third ) N cannot be played later than second. So, N cannot be played after K. It is possible, however, to play the others immediately after K :
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