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

XAT 2021 Questions

• 1.

  Arun selected an integer \( x \) between 2 and 40, both inclusive. He noticed that the greatest common divisor of the selected integer \( x \) and any other integer between 2 and 40, both inclusive, is 1. How many different choices for such an \( x \) are possible?

  • 1
  • 8
  • 4
  • 0
  • 12
    
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• 2.

  ABCD is a rectangle where points C and D have coordinates (−2, 0) and (2, 0), respectively. If the area of the rectangle is 24, what is the best way to describe the equation of the line AB?

  • y = 3
  • y = 6
  • y = −3
  • y = −6
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• 3.

  Adu and Amu have bought two pieces of land on the Moon from an e-store. Both the pieces of land have the same perimeters, but Adu’s piece of land is in the shape of a square, while Amu’s piece of land is in the shape of a circle. The ratio of the areas of Adu’s piece of land to Amu’s piece of land is:

  • \( \pi^2 : 4 \)
  • \( \pi : 4 \)
  • \( \pi : 2 \)
  • \( 1 : 4 \)
  • \( 4 : \pi \)
    
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• 4.

  A and B bought lands on the Moon from an eStore, both with the same diameter but A’s land is square-shaped, and B’s land is circular. What is the ratio of the areas of their respective lands?

  • 4 : π
  • π : 4
  • 1 : π
  • π : 1
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• 5.

  A bought a phone from a store and paid \(\frac{1}{6}\) of the price using UPI, \(\frac{1}{3}\) of the price in cash, and the remaining balance a year later. He also paid 10% interest on the remaining balance after one year. What was the original price of the phone?

  • Rs.12,000
  • Rs.18,000
  • Rs.24,000
  • Rs.30,000
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