Direction: Question 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.

Seven drivers Ankur, Brian, Chitra, Deeksha, Esha, Fatima and Gaurav reached a destination at different time among 9:00 am, 10:00 am, 10:30 am, 11:30 am, 1:00 pm, 2:30 pm and 5:00 pm of same day. Chitra reached the destination 1 hour after Esha. Deeksha reached the destination at 2:30 pm. Who reached at 5:00 pm?

Statement I: Two persons reached the destination between the time on which Ankur and Fatima reached. Fatima does not reach at 5:00 pm.

Statement II: Gaurav reached destination after Brian. Brian does not reach at 10:30 am.

  1. Data in statement I alone sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
  2. 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.
  3. Data either in statement I alone or in statement II alone are sufficient to answer the question.
  4. Data in both the statements I and II together are not sufficient to answer the question.
  5. Data in both the statements I and II together are necessary to answer the question.

Answer (Detailed Solution Below)

Option 5 : Data in both the statements I and II together are necessary to answer the question.
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Detailed Solution

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1. Chitra reached the destination 1 hour after Esha.

2. Deeksha reached the destination at 2:30 pm.

 

Case 1

Case 2

Time

Drivers

Drivers

9:00 am

Esha

 

10:00 am

Chitra

 

10:30 am

 

Esha

11:30 am

 

Chitra

1:00 pm

 

 

2:30 pm

Deeksha

Deeksha

5:00 pm

 

 

 

Statement I: Two persons reached the destination between the time on which Ankur and Fatima reached. Fatima does not reach at 5:00 pm. So, we have,

 

Case 1

Case 2

Time

Drivers

Drivers

9:00 am

Esha

 

10:00 am

Chitra

Ankur/Fatima

10:30 am

 

Esha

11:30 am

Fatima

Chitra

1:00 pm

 

Fatima/Ankur

2:30 pm

Deeksha

Deeksha

5:00 pm

Ankur

 

 

Statement II: Gaurav reached destination after Brian. Brian does not reach at 10:30 am.

 

Case 1

Case 2

Time

Drivers

Drivers

9:00 am

Esha

 

10:00 am

Chitra

 

10:30 am

× Brian

Esha

11:30 am

 

Chitra

1:00 pm

 

 

2:30 pm

Deeksha

Deeksha

5:00 pm

 

 

 

Statement I and II together:

Time

Drivers

9:00 am

Brian

10:00 am

Aankur/Fatima

10:30 am

Esha

11:30 am

Chitra

1:00 pm

Fatima/Ankur

2:30 pm

Deeksha

5:00 pm

Gaurav

 

Therefore, Gaurav reached at 5:00 pm.

Hence, data in both the statements I and II together are necessary to answer the question.
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