A question is given, two statements labelled I and II. Identify which of the statements is/are sufficient/necessary to answer the question.

Question:

On what day of the week does Punit’s birthday fall?

Statements:

I. Arjun correctly remembers that Punit’s birthday comes before Thursday but after Monday.

II. Bhushan correctly remembers that Punit’s birthday comes after Tuesday but before Saturday.

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AAI ATC Junior Executive 21 Feb 2023 Shift 2 Official Paper
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  1. The data either in statement I alone or statement II alone are sufficient to answer the question.
  2. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  3. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  4. The data given in both statements I and II together are necessary to answer the question.

Answer (Detailed Solution Below)

Option 4 : The data given in both statements I and II together are necessary to answer the question.
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Question:

On what day of the week does Punit’s birthday fall?

Statements:

I. Arjun correctly remembers that Punit’s birthday comes before Thursday but after Monday.

From statement (I) we can say that Punit's birthday is either on Tuesday or Wednesday.

II. Bhushan correctly remembers that Punit’s birthday comes after Tuesday but before Saturday.

From statement (II) we can say that Punit's birthday is after Tuesday but before Saturday.

From both statements, we conclude that Punit's birthday is on 'Wednesday'.

Hence, the correct answer is "The data given in both statements I and II together are necessary to answer the question".

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