CAT 2021 Slot 3 — DILR Question 5
Answer the next 6 questions based on the information given below:
Three reviewers Amal, Bimal, and Komal are tasked with selecting questions from a pool of 13 questions (Q01 to Q13). Questions can be created by external “subject matter experts” (SMEs) or by one of the three reviewers. Each of the reviewers either approves or disapproves a question that is shown to them. Their decisions lead to eventual acceptance or rejection of the question in the manner described below.
If a question is created by an SME, it is reviewed first by Amal, and then by Bimal. If both of them approve the question, then the question is accepted and is not reviewed by Komal. If both disapprove the question, it is rejected and is not reviewed by Komal. If one of them approves the question and the other disapproves it, then the question is reviewed by Komal. Then the question is accepted only if she approves it.
A question created by one of the reviewers is decided upon by the other two. If a question is created by Amal, then it is first reviewed by Bimal. If Bimal approves the question, then it is accepted. Otherwise, it is reviewed by Komal. The question is then accepted only if Komal approves it. A similar process is followed for questions created by Bimal, whose questions are first reviewed by Komal, and then by Amal only if Komal disapproves it. Questions created by Komal are first reviewed by Amal, and then, if required, by Bimal.
The following facts are known about the review process after its completion.
- Q02, Q06, Q09, Q11, and Q12 were rejected and the other questions were accepted.
- Amal reviewed only Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
- Bimal reviewed only Q02, Q04, Q06 through Q09, Q12, and Q13.
- Komal reviewed only Q01 through Q05, Q07, Q08, Q09, Q11, and Q12.
How many questions were DEFINITELY created by Amal?
Answer & solution
Answer: 3
Based on the information given in the five points, we can make the following table.
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Q1 is reviewed only by Komal, hence it must have been prepared by Bimal and Komal must have accepted it. [If Komal had rejected it the question would then have been reviewed by Amal which is not the case.]
Q2 is reviewed by all three, hence it must have been prepared by SMEs. Since it is reviewed by Komal, one of Amal and Bimal must have accepted and the other rejected this question. Finally Komal must also have rejected the question for it to be finally get rejected.
Q3 is reviewed by Komal and Amal, hence it was created by Bimal. Komal reviews it first and rejects it hence Bimal reviews it next and accepts it.
Similarly, we can complete the table:
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Questions 7, 9 and 12 are definitely created by Amal.
Hence, 3.