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Question

 How many speeches were delivered in the two days' programme ?

I. 18 speakers were invited to give at least one speech, out of which one-sixth

of the speakers could not come.

II. One-third of the speakers gave two speeches each.


Options:
A .  The data in statement I alone are sufficient to answer the question
B .  The data in statement II alone are sufficient to answer the question
C .  The data either in I or II alone are sufficient to answer the question
D .  The data even in both the statements together are not sufficient to answer the question.
E .  The data in both the statements together are needed.
Answer: Option E

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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