CAT 2021 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 22

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 22 : If x0 = 1, x1 = 2, and xn + 2 = \\frac{1+x_{n+1}}{x_{n}}), n = 0, 1, 2, 3,..., then x2021 is equal to?

  1. 4
  2. 3
  3. 1
  4. 2

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Explanatory Answer

Given that, xn + 2 = \\frac{1+x_{n+1}}{x_{n}})
x0 = 1
x1 = 2,
x2 = \\frac{1+x_{1}}{x_{0}}) = \\frac{1+2}{1}) = 3
x3 = 2,
x4= 1,
x5= 1, x6= 2, x7= 3, x8= 2, x9= 1
The sequence is going on steps of 5.
Hence, x2021 = 2


The question is " If x0 = 1, x1 = 2, and xn + 2 = \\frac{1+x_{n+1}}{x_{n}}), n = 0, 1, 2, 3,..., then x2021 is equal to? "

Hence, the answer is '2'

Choice D is the correct answer.

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