CAT 2021 Question Paper | Quant Slot 1

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 x_{n + 2} = \\frac{1+x_{n+1}}{x_{n}}), n = 0, 1, 2, 3,..., then x₂₀₂₁ is equal to?

Video Explanation

Explanatory Answer

Given that, x_{n + 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 x_{n + 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.