Q58
Question : How many speeches were delivered in the two days' programme ? Statements : I. 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. II. 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
AnswerAnswer: Option E
Solution
Answer: Option E
Solution:
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.