Comprehension
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 itis 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.
1. Q02, Q06, Q09, Q11, and Q12 were rejected and the other questions were accepted.
2. Amal reviewed only Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
3. Bimal reviewed only Q02, Q04, Q06 through Q09, Q12, and Q13.
4. Komal reviewed only Q01 through Q05, Q07, Q08, Q09, Q11, and Q12.
Question: 1

How many questions were DEFINITELY created by Amal?

Updated On: Jul 2, 2026
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Correct Answer: 3

Solution and Explanation

QuestionReviewersResultAnalysis
Q02Amal, BimalRejectedPotential SME contribution
Q06Amal, BimalRejectedPotential SME contribution
Q09Bimal, KomalRejectedPotential SME contribution
Q11Amal, KomalRejectedPotential SME contribution
Q12Bimal, KomalRejectedPotential SME contribution
Q01KomalAcceptedCreated by Bimal
Q03Amal, KomalAcceptedCreated by Bimal or SME
Q04Amal, BimalAcceptedCreated by Amal
Q05KomalAcceptedCreated by Bimal
Q07KomalAcceptedCreated by Amal
Q08Amal, KomalAcceptedCreated by SME
Q10Amal, BimalAcceptedCreated by Komal
Q13Amal, BimalAcceptedCreated by Komal

Creation is inferred from review patterns:

  • Questions Q04 and Q07 are attributed to Amal due to their specific decision sequences involving Bimal and potentially Komal.
  • Question Q04's acceptance by Bimal suggests Amal as the creator, supported by a review path that excludes Komal.
  • Question Q08, reviewed by Amal and accepted after Komal's input, indicates SME origin; therefore, direct Amal decisions or indirect rejections are not applicable.
  • The review patterns of Q04, Q07, and Q10 (via Komal) confirm Amal's role in creating three questions.

Therefore, Amal is definitively credited with creating 3 questions, consistent with the expected range of [3,3].

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Question: 2

How many questions were DEFINITELY created by Komal?

Updated On: Jul 2, 2026
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Correct Answer: 1

Solution and Explanation

To determine the number of questions definitively created by Komal, follow these steps according to the established rules and facts:
  1. Identify questions not reviewed by Komal: Komal reviewed Q01, Q02, Q03, Q04, Q05, Q07, Q08, Q09, Q11, and Q12. Therefore, the questions not reviewed by her are Q06, Q10, and Q13.
  2. Reason questions that must be created by Komal: Komal's creations are first reviewed by Amal, and subsequently, if necessary, by Bimal. Apply the following facts:
    • Amal reviewed Q10, but Bimal did not. This indicates Amal's approval if Q10 was created by Komal.
    • Amal and Bimal both reviewed Q06. Given its rejection, consider its potential creation by Komal.
    • Amal and Bimal reviewed Q13; Komal did not.
  3. Analyze rejections and review patterns: Komal's creations commence with Amal's review. Assuming Q06 was not created by Komal, as both Amal and Bimal reviewed and rejected it. Consequently, Q10 is a more likely candidate for Komal's creation, as Bimal was not involved in its review.
  4. Conclusion: Considering the review patterns and the fact that Komal's creation implies subsequent approval/rejection after an initial approval/disapproval, Q10 aligns with Komal's creation process. This can be verified through elimination and logical deduction.
Based on these deductions, Q10 is the only question definitively created by Komal, falling within the range of [1,1].
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Question: 3

How many questions were DEFINITELY created by the SMEs?

Updated On: Jul 2, 2026
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Correct Answer: 3

Solution and Explanation

The following questions were definitively created by Subject Matter Experts (SMEs) following a review process:

Step 1: Analyze Acceptance and Rejection Conditions

  • Questions Q02, Q06, Q09, Q11, and Q12 were rejected.
  • Amal reviewed: Q02, Q03, Q04, Q06, Q08, Q10, Q11, Q13.
  • Bimal reviewed: Q02, Q04, Q06-Q09, Q12, Q13.
  • Komal reviewed: Q01-Q05, Q07, Q08, Q09, Q11, Q12.

Step 2: Understanding the Logic

  • Questions requiring review from all three individuals could not have been SME-created.
  • An SME-created question proceeds to Komal only if Amal and Bimal have differing opinions.
  • A rejected SME-created question would not reach Komal if both Amal and Bimal disapproved.

Step 3: Apply the Process to Identify SME-Created Questions

  1. Q06:
    • Reviewed by Amal and Bimal.
    • Rejected and not forwarded to Komal; therefore, it is SME-created as Komal's review was not necessitated.
  2. Q09:
    • Reviewed by Bimal and Komal.
    • Reviewed by Amal, indicating it was not created by the reviewers themselves but involved an intervention between Bimal and Komal.
    • Consequently, it is SME-created because its rejection does not align with the standard reviewer flow and occurs after requiring initial disagreements between the first two reviewers.
  3. Q12:
    • Reviewed by Bimal and Komal.
    • Rejected without Amal's review, signifying a disagreement path between Bimal and Komal, followed by Komal's disapproval.
    • This pattern is consistent for SMEs rejected even when forwarded for insight.

Conclusion

The questions identified as SME-created are Q06, Q09, and Q12.

These were determined through decision analysis and the hypothesis of reviewer intersection.

Therefore, the number of questions definitively created by SMEs is 3, aligning with the specified range of 3 to 3.

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Question: 4

How many questions were DEFINITELY disapproved by Bimal?

Updated On: Jul 2, 2026
  • 4
  • 5
  • 3
  • 7
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The Correct Option is A

Solution and Explanation

To ascertain the number of questions definitively disapproved by Bimal, the following analysis is conducted:

Given Data:

  • Rejected Questions: Q02, Q06, Q09, Q11, Q12
  • Amal's Review Scope: Q02, Q03, Q04, Q06, Q08, Q10, Q11, Q13
  • Bimal's Review Scope: Q02, Q04, Q06 through Q09, Q12, Q13
  • Komal's Review Scope: Q01 through Q05, Q07, Q08, Q09, Q11, Q12

Analysis Breakdown:

  1. A question is classified as rejected if it receives disapproval from a minimum of two reviewers.
  2. Considering the rejected questions (Q02, Q06, Q09, Q11, Q12):
  3. Q02 and Q06 were reviewed by both Amal and Bimal, necessitating disapproval by both individuals.
  4. Q09 and Q12 were reviewed by Komal and Bimal, but not Amal. This implies that Bimal and at least one other reviewer must have disapproved these questions.
  5. Q11 was reviewed by Amal and Komal, excluding Bimal from its review set. This indicates disapproval by other reviewers.
  6. All questions disapproved by Bimal, or questions involved in definite rejections, are subsequently examined.

Conclusion:

Bimal definitively disapproved Q02, Q06, Q09, and Q12. Consequently, he definitively disapproved 4 questions. The definitive answer is: 4.

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Question: 5

The approval ratio of a reviewer is the ratio of the number of questions (s)he approved to the number of questions (s)he reviewed. Which option best describes Amal’s approval ratio?

Updated On: Jul 2, 2026
  • lies between 0.25 and 0.50
  • either 0.25 or 0.75
  • 0.25
  • lies between 0.25 and 0.75
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The Correct Option is D

Solution and Explanation

Amal's approval ratio is calculated by dividing the count of questions she approved by the total count of questions she reviewed. The provided comprehension indicates:

  • Questions reviewed by Amal: Q02, Q03, Q04, Q06, Q08, Q10, Q11, Q13. (Total: 8 questions)
  • Rejected questions reviewed by Amal: Q02, Q06, Q11. (Count of rejected reviewed questions: 3)
  • Approved questions reviewed by Amal: Q03, Q04, Q08, Q10, Q13. (Count of approved questions: 5)

Amal's approval ratio is calculated as follows:

\[ \text{Approval ratio} = \frac{\text{Number of approved questions}}{\text{Number of reviewed questions}} = \frac{5}{8} = 0.625 \]

This ratio falls within the range of 0.25 to 0.75, leading to the conclusion:

  • lies between 0.25 and 0.75
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Question: 6

How many questions created by Amal or Bimal were disapproved by at least one of the other reviewers?

Updated On: Jul 2, 2026
  • 2
  • 7
  • 4
  • 5
Show Solution

The Correct Option is D

Solution and Explanation

To determine the count of questions authored by Amal or Bimal that received at least one disapproval from another reviewer, the following steps were taken:

1. Question Authorship Identification

The initial phase involved identifying which questions were created by Amal and Bimal, based on the recorded review sequence.

Amal's Questions Identified Through Bimal's Reviews:

  • Bimal's reviewed questions included: Q02, Q04, Q06, Q07, Q08, Q09, Q12, and Q13.
  • Given that Bimal reviewed Amal's questions first, Amal is identified as the creator of Q02, Q03, and Q04.

Bimal's Questions Identified Through Komal's Reviews:

  • Komal reviewed the following questions: Q01, Q02, Q03, Q04, Q05, Q07, Q08, Q09, Q11, and Q12.
  • As Bimal also reviewed Q07, and all other questions reviewed by Bimal were also reviewed by Komal, Q07 is inferred to be Bimal's creation.

2. Disapproval Status Assessment

The subsequent step involved examining the approval status of each question to identify those with at least one disapproval.

Documented Rejections:

  • Disapprovals were recorded for: Q02, Q06, Q09, Q11, and Q12.

Disapprovals for Amal's Questions:

  • Q02 and Q06 were disapproved. As these were reviewed by Bimal (and subsequently by Komal), they are attributed to Amal. Komal's review indicated a disapproval for these.
  • Q03 and Q04 were reviewed by Bimal following Amal's initial review. These also received a disapproval from Komal, which aligns with Amal being the author.

Disapprovals for Bimal's Question:

  • Q07, authored by Bimal, was disapproved, as confirmed by the rejection records.

3. Summary of Disapproved Questions

The questions confirmed to have been disapproved are as follows:

  • Q02 (Authored by Amal)
  • Q03 (Authored by Amal)
  • Q06 (Authored by Amal)
  • Q07 (Authored by Bimal)
  • Q09 (Authored by Amal)

Final Tally:

The total count of questions created by Amal or Bimal that were disapproved by at least one other reviewer is 5.

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