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

XAT 2021 Questions

• 1.

  Two trains running at constant speed between Jamshedpur and Kolkata take 3 hours and 4 hours respectively. The train from Jamshedpur halves its speed after running for one hour. How much total time do the trains take to meet?
  

  • 1 hour
  • 1.5 hours
  • 2 hours
  • 2.5 hours
    
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• 2.

  Two buses travel between Jamshedpur and Kolkata in the opposite directions, on the same road. On that road, the maximum allowed speeds are different (but constant) for the opposite directions. Usually, both buses travel at the respective maximum allowed speeds to their respective destinations: the bus from Jamshedpur to Kolkata takes 4 hours, while the bus from Kolkata to Jamshedpur takes 3 hours.
  One day, the two buses start at the same time. However, one hour after starting, the bus from Jamshedpur to Kolkata reduces its speed to half of its maximum allowed speed due to congestion on the road.
  If both buses do not stop anywhere in between, how many hours after starting do they meet?
  

  • 21/11 hours
  • 12/5 hours
  • 2 hours
  • 10/11 hours
  • 23/12 hours
    
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• 3.

  An artificial swimming pool is circular and water is flowing clockwise at a speed of 3 km/hr. Two swimmers Ayub and Rana start from diametrically opposite points, Ayub in the anticlockwise direction and Rana in the clockwise direction. They first meet at a point such that Ayub has covered 60 m by that time. Their second meeting point is such that Rana has covered another 180 m after the first meeting point. If the speed of Rana in still water is 3 km/hr, find the time taken by Ayub to cover one full circle in the clockwise direction.
  

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• 4.

  Arrange the following generations from the oldest to the youngest:
  1. Generation X
  2. Silent Generation
  3. Generation Alpha
  4. Baby Boomers
  5. Millennials
  

  • 2, 4, 5, 1, 3
  • 1, 2, 4, 5, 3
  • 4, 2, 5, 1, 3
  • 2, 4, 1, 5, 3
    
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• 5.

  Read the following scenario and answer the THREE questions that follow.
  Brijbhushan, a microfinancier, lends money at the rate of Rs.10 per square meter to small farmers at a village. He charges an annual interest rate of 10%. All the farming plots in that village are rectangular, with areas varying between a minimum of 1000 square meters and a maximum of 10,000 square meters.
  This year, Brijbhushan has lent money only to five farmers: Aditya, Binod, Chhuttan, Dabloo and Govind. The perimeter of Chhuttan’s plot is 250 meters, with the length and width being at a ratio of 4:1. Aditya’s plot has an area three times the area of Govind’s plot. The area of Aditya’s plot is also the average of the areas of Govind’s plot and Dabloo’s plot. The plots belonging to Aditya, Binod and Dabloo are of the same width, but of different lengths. Moreover, the length of Binod’s plot is the sum of the lengths of Aditya’s plot and Dabloo’s plot.