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Question: How many speeches were delivered in the two days' programme? Statements: 18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come. One-third of the speakers gave two speeches each.

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient
Both I and II are sufficient

Correct Answer: Both I and II are sufficient

Explanation:

From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15.

From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech.

So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.

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