Towards which direction is C from Q?
(1) C and Q are opposite to each other. L is equidistant from C and Q.
(2) L is neither towards north-east nor towards south-west of C and Q respectively.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

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Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

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Both statements together are sufficient, but neither statement alone is sufficient.

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Statement (1) and (2) together are not sufficient.

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Solution

The correct option is C Statement (1) and (2) together are not sufficient.
Information given in both the statements does not lead to specific direction. Hence, even both (1) and (2) together are not sufficient.

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