Question

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. I alone is sufficient while II alone is not sufficient
• B. II alone is sufficient while I alone is not sufficient
• C. Either I or II is sufficient
• D. Neither I nor II is sufficient
• E. Both I and II are sufficient

Answer 1

Answer: (E)

Both I and II are sufficient

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.