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A university library budget committee must reduce exactly five of eight areas of expenditure -$\text{I, J, K, L, M, N, O and P}$ in accordance with the following conditions:

If both $I$ and $O$ are reduced, $P$ is also reduced.

If $L$ is reduced, Neither $N$ nor $O$ is reduced

If $M$ is reduced, $J$ is not reduced.

Of the three areas $J$, $K$ and $N$ exactly two are reduced.

If both $K$ and $N$ are reduced, which one of the following is a pair of areas neither of which could be reduced?

  1. $I,L$
  2. $J,L$
  3. $J, M$
  4. $I,J$
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