XAT 2021 Question Paper: Download PDFs with solution, Paper Pattern

XAT 2021 Questions

• 1.

  In an 8-week course, the teacher conducts a test every week, and the scores are in the range of 1–4. There are only two students enrolled in the course, \(R\) and \(S\). The following conditions are given:

  1. \(R\) and \(S\) scored the same on the first test.
  2. From the second test onwards, \(R\) consistently scored the same (a non-zero score).
  3. The total of the first three test scores of \(R\) equals the total of the first two test scores of \(S\).
  4. From the fifth test onwards, \(S\) scored the same as \(R\).
  5. The scores of \(S\) from the first two tests and all the remaining tests follow a geometric progression.

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• 2.

  Arya, a graduate from a reputable institute, got a job in an IT company but became bored after a year. Her best friend S, who worked at the same company, joined a top-tier B-school for an MBA, which tempted Arya to pursue the same path. Her friend assured her that an MBA would boost her career prospects and salary. Arya started preparing for an MBA while continuing her job, but the challenge of balancing preparation with work made her consider leaving the job.

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• 3.

  There’s a community 30 km outside of the main city. Mr. S started a grocery business in the community after winning the bid by offering way above the rent initially drafted by the community council. The community council, led by Mr. D, agreed to the offer with a performance review every three years. Mr. S also agreed to provide an additional 15% of his grocery sales to the council, banking on the prospect of selling in higher volumes. After setting up his business, Mr. S noticed that SUV owners in the community usually bought goods in bulk from the city once a week and used his store primarily for daily necessities and occasional big purchases like mixer grinders.

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• 4.

  Four reviewers (R1, R2, R3, R4) are in charge of reviewing products from companies A, B, C, and D. Each reviewer provides a rating between 1 and 5 for the products. Due to a technical glitch, the original ratings were deleted, and only the averages calculated for each product (A, B, C, D) and each reviewer (R1, R2, R3, R4) were saved. The data available is as follows:

  A	B	C	D	Average
  3	4	4	?	4
  3	?	5	?	4
  ?	3	3	?	4
  ?	?	?	?	4.25
  4	4	4	4.25

  Tasks:
  1. What are the missing values in the table?
  2. How were the missing values calculated?
  3.Verify the correctness of the given averages for both rows and columns.

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• 5.

  A chose an integer X, which is between 2 and 40. A noticed that X is such a number that, when any integer Y is divided by X, the remainder is always 1. What is the value of X?

  • 37
  • 41
  • 39
  • 41! + 1
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