What is Sudha's present age?
(1) Sudha's present age is five times her son's present age.
(2) Five years ago her age was twenty-five times her son's age that time.

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 B Both statements together are sufficient, but neither statement alone is sufficient.
(1) $\Rightarrow M = 5 S$
(2) $\Rightarrow M - 5 = 25 (S - 5)$
Solving these equations, we get the value of M. Therefore, both statements together are required to answer the question.

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