CAT 2018 Question Paper | CAT LR DI

CAT Previous Year Paper | CAT DILR | Set 6

This very question is based on the Set theory puzzle that appeared in the CAT 2018 question paper. This can be regarded as a problem with medium difficulty level. Since this is a TITA-type question, you cannot guess the answer from the choices. You can expect two to three TITA questions in the DILR section and it is extremely important to practice these kinds of questions from CAT previous year paper. Now, solve this question and smash your CAT Preparation.

CAT DILR : CAT 2018 Question Paper Slot 2

Set 6 : Job Interview

Seven 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 ‘?’.

CAT DI LR 2018 Slot 2

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 3 : When did Erina reach the venue?

  1. 7:45 am
  2. 7:10 am
  3. 7:15 am
  4. 7:25 am

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Explanatory Answer

Method of solving this CAT Question on CAT DILR
CAT DI LR 2018 Slot 2

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.
CAT DI LR 2018 Slot 2
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?
CAT DI LR 2018 Slot 2
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.
CAT DI LR 2018 Slot 2
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.
From the table, we can see that Erina was the last one to reach i.e. at 7:45 am.

The question is "When did Erina reach the venue?"

Hence, the answer is 7:45 am

Choice A is the correct answer

 

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