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Business Statistics MT & ET Questions

CAT 2019 Slot 2 · Data Interpretation & Logical Reasoning · Hard · Logical Deductions

This is a hard Data Interpretation & Logical Reasoning question set from the CAT 2019 Slot 2 paper. It tests Logical Deductions. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Passage / data set

The first year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions.

Each of MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15-mark questions followed the 10-mark questions.

The following additional facts are known: i. Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks. ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT. iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET. iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both. v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.

Question 1 of 4

The second question in ET was prepared by:

  1. A.

    Esha

  2. B.

    Chetan

  3. C.

    Dave

  4. D.

    Beti

Answer

C

Explanation

Dave prepared Q1 and Q2 in ET consecutively.

Why the other options are wrong

  • A.Esha — does not satisfy the condition asked in this question, so it is not the correct answer.
  • B.Chetan — does not satisfy the condition asked in this question, so it is not the correct answer.
  • C.Dave — does not satisfy the condition asked in this question, so it is not the correct answer.
  • D.Beti — does not satisfy the condition asked in this question, so it is not the correct answer.

Question 2 of 4

How many 5-mark questions were there in MT and ET combined?

  1. A.

    Cannot be determined

  2. B.

    12

  3. C.

    10

  4. D.

    13

Answer

D

Explanation

MT has six 5-mark questions and ET has seven 5-mark questions, giving 13 in total.

Question 3 of 4

Who prepared 15-mark questions for MT and ET?

  1. A.

    Only Dave, Esha and Fakir

  2. B.

    Only Beti, Dave, Esha and Fakir

  3. C.

    Only Esha and Fakir

  4. D.

    Only Dave and Fakir

Answer

A

Explanation

Analyzing question distributions shows Dave, Esha, and Fakir prepared 15-mark questions.

Question 4 of 4

Which of the following questions did Beti prepare in ET?

  1. A.

    Ninth question

  2. B.

    Tenth question

  3. C.

    Fourth question

  4. D.

    Seventh question

Answer

B

Explanation

Beti prepared questions 9, 10, and 11 in ET, so she prepared the Tenth question.

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