How many speeches were delivered in the ...

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

I alone is sufficient while II alone is not sufficient

ll alone is sufficient while I alone is not sufficient

Either I or II is sufficient

Both I and II are sufficient

Text Solution

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The correct Answer is:

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 xx 2 + 10 xx 1) = 20`.

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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

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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