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XAT 2022 · Quantitative Ability & Data Interpretation · Hard · Logical Reasoning

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Passage / data set

An examination had ten multiple choice questions; labelled Q1 to Q10 respectively. Each question had four answer options — A, B, C and D — of which one and only one was the correct answer. For each correct answer, the candidate obtained 1 mark. There were no negative marks for wrong answers. The answers chosen by six candidates (Om: 2, Pavan: 5, Qadir: 7, Rakesh: 3, Simranjeet: 7, Tracey: 2) and their total marks are recorded in the test table.

Question 1 of 3

What is the correct answer for Q5?

  1. A.

    Not possible to determine uniquely

  2. B.

    A

  3. C.

    B

  4. D.

    C

  5. E.

    D

Answer

D

Explanation

By analyzing response overlaps between candidates with score 7 (Qadir and Simranjeet) and Rakesh (3), the answer key for Q5 is C.

Question 2 of 3

For which of these questions is D the correct answer?

  1. A.

    Both Q1 and Q9

  2. B.

    Both Q1 and Q8

  3. C.

    Q8

  4. D.

    Q1

  5. E.

    Q9

Answer

C

Explanation

Solving the full grid reveals that Q6 and Q8 both have D as the correct answer option.

Question 3 of 3

Which of these questions witnessed the least number of the students answering correctly?

  1. A.

    Both Q3 and Q4

  2. B.

    Q4

  3. C.

    Q5

  4. D.

    Q10

  5. E.

    Q2

Answer

B

Explanation

Q4 was answered correctly by only 1 student (Simranjeet), making it the question with the least correct answers.

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