Verbal Reasoning - Data Sufficiency - Discussion

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.

5. 

Question: How many visitors saw the exhibition yesterday ?

Statements:

  1. Each entry pass holder can take up to three persons with him/her.
  2. In all, 243 passes were sold yesterday.

[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: Option D

Explanation:

From I and II, we find that maximum (243 x 3) i.e. 729 visitors saw the exhibition.

But the exact number cannot be determined.


Manasa said: (Sep 7, 2015)  
I think answer must be E because here it is clear number of visitors saw the exhibition is 729.

Rakesh said: (Jan 22, 2016)  
From statement-1 each entry passer can take three visitors with him. From statement-2 243x3 = 729.

So, a total of 729 visitors may be allowed but, it it is not necessary that each entry passer takes a three visitors along with him. He may take two or even one with him. So, answer should be D.

Kumud Singh said: (Mar 21, 2018)  
Agreed @Rakesh.

Aiswarya said: (May 25, 2020)  
@Rakesh.

You are correct. Nice way of explaining. Thanks.

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