CAT 2020 Question Paper: Download CAT Question Paper with Solution PDF for VARC, DILR and QA

CAT 2020 Questions

• 1.

  When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become

  • 5 : 4
  • 2 : 1
  • 4 : 3
  • 3 : 2
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• 2.

  Two points A and B are 45 km apart. Anil started from A. Sunil started from B. They met each other after 1 hour 30 mins. and after meeting, they continued towards their destinations. Time taken by Anil to reach Point B was 1 hr 15 mins more than the time taken by Sunil to reach point A. Find speed of Anil

  • 12
  • 16
  • 18
  • 24
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• 3.

  The sum of all four-digit numbers that can be formed with the distinct non-zero digits $a$, $b$, $c$, and $d$, with each digit appearing exactly once in every number, is $153310 + n$, where $n$ is a single digit natural number. Then, the value of $(a + b + c + d)$ is ?

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• 4.

  The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is

  • 10
  • 20
  • 14
  • 15
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• 5.

  In the $XY$-plane, the area, in sq. units, of the region defined by the inequalities $y \ge x + 4$ and $-4 \le x^2 + y^2 + 4(x - y) \le 0$ is

  • \(2\pi\)
  • \(3\pi\)
  • \(\pi\)
  • \(4\pi\)
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