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Discussion

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

Statements:

1. 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.

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

  • A.1 alone is sufficient while 2 alone is not sufficient
  • B.2 alone is sufficient while 1 alone is not sufficient
  • C.Either 1 or 2 is sufficient
  • D.Both 1 and 2 are sufficient

Answer: D

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

From 2, 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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