This puzzle set from CAT 2018 question paper is based on Fun Sports Club. This puzzle becomes pretty doable if you are confident about Set Theory. This question beautifully blends the quants concepts like arithmetic with logical reasoning and data interpretation. Try this problem that appeared in the CAT previous year paper and crush the CAT online preparation.
CAT DILR : CAT 2018 Question Paper Slot 2Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ‘?’.
Additionally here are some statements from the candidates:
Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only person in the room I was allotted to.
Fatima: Three people including Akil were already in the room that I was allotted to when I entered it.
Ganeshan: I was one among the two candidates allotted to Room 102.
Question 2 : Who else was in Room 102 when Ganeshan entered?
Look at the statements given by Erina and Ganeshan.
Think about the number of candidates in the rooms.
One room has only one candidate, one room has 2 candidates, so the third room should have 4 candidates.
So, number of candidates should be distributed as 4, 2, 1.
But which room has 2 candidates and which one has 4?
Room number 102 has 2 candidates. G plus one more. Balaram was the third one to enter 101, so 101 should have had at least 3 candidates.
This implies 103 has only one candidate.
Fatima is the 4th one into a room. What does this mean? Akhil should also be in the same room as Fatima.
A, B and F go to room number 101. C should go to 102, E should go to 103.
Fatima is the 4th one into a room. Chitra is the last to enter her room.
So, the one at 7:45 should be entering a different room. Who is this?
A, B and F go to room number 101. C should go to 102, E should go to 103. E should be the one who goes at 7:45 am.
We have B, D and G remaining. B and D go into 101, G goes to 102. B comes after D as B is the third to go into 101.
Write down the different combinations.
7:10, 7:15 and 7:25 could be D, B, G or D, G, B or G, D, B.
Let us move on to questions.
Ganeshan was the first to enter room 102. Therefore no one was there before Ganeshan entered room 102.
The question is "Who else was in Room 102 when Ganeshan entered?"
Choice A is the correct answer
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