Verbal Reasoning - Data Sufficiency - Discussion

Discussion Forum : Data Sufficiency - Section 2 (Q.No. 9)
Directions to Solve

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and

Give answer

  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.


9.

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.

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient
Both I and II are sufficient
Answer: Option
Explanation:

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.

Discussion:
2 comments Page 1 of 1.

Priyanka said:   1 decade ago
There are number of speaker is 15 rather then the number of speech. So how can we define that there will be 15 speech. It can be 30 or something else. So I think answer must be option B.

Saii said:   5 years ago
@Priyanka.

As you said there are 15 speakers came to the program. By statement 2, One-third of the speakers gave two speeches each means 5 members gave 10 speeches. And by statement 1, speakers were invited to give at least one speech (maximum of two speech) so the remaining 10 members gave one speech by each of them.

So, the answer is (5*2+10*1) = 20 speeches.

Post your comments here:

Your comments will be displayed after verification.