XAT 2016 Question Paper with Solutions: Download Free XAT Question Paper PDFs

XAT 2016 Questions

• 1.

  An iron beam made with rare materials has its market price dependent on the square of its length. The beam broke into two pieces in the ratio of 4 : 9. If it is sold as two separate pieces, what would be the percentage profit or loss compared to its original value?

  • 44.44% loss
  • 50% loss
  • 55.55% loss
  • 60% loss
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• 2.

  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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• 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 farmer has a quadrilateral parcel of land with a perimeter of 700 feet. Two opposite angles of that parcel of land are right angles, while the remaining two are not. The farmer wants to do organic farming on that parcel of land. The cost of organic farming on that parcel of land is Rs. 400 per square foot.
  Consider the following two additional pieces of information:
  1. The length of one of the sides of that parcel of land is 110 feet.
  2. The distance between the two corner points where the non-perpendicular sides of that parcel of land intersect is 265 feet.
  To determine the amount of money the farmer needs to spend to do organic farming on the entire parcel of land, which of the above additional pieces of information are MINIMALLY SUFFICIENT?

  • Either of I or II, by itself
  • II only
  • The amount cannot be determined even with the additional pieces of information.
  • I only
  • I and II together only
    
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• 5.

  There are five dustbins along a circular path at different places. Ramesh takes multiple rounds of the path every morning, always at the same speed. He noticed that it took him a different number of steps to walk between any two consecutive dustbins. Ramesh also noticed that starting from any of the dustbins, it took a minimum 360 steps to reach every second dustbin, and a maximum 1260 steps to reach every third dustbin. If Ramesh's step size is 0.77 meter, and the width of the path is negligible, which of the following can be the radius of the circular path?

  • 230 meters
  • 260 meters
  • 250 meters
  • 220 meters
  • 240 meters
    
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