# CAT 2021 Exam Question Papers Slot 1 | CAT Quants

### CAT Quantitative Aptitude | CAT 2021 Question Papers

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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

12).

If x0= 1 and x1 =2 and xn+2 = , n = 0, 1, 2, 3, 4, …, then the value of x2021 is equal to

1. 4

2. 3

3. 2

4. 1

### Explanation

X0 = 1, x1 = 2,

Next, applying the formula xn+2 = and taking n = 1, 2, etc. we get

X2 =   = 3, x3 =   = 2, x4 =   = 1,

X5 =   = 1, x6 =   = 2, x7 =   = 3, x8 =   = 2, x9 =   = 1

It can be seen that value of xn repeats after every five terms, starting from x0. The values from x0 to x4repeating are 1,2, 3, 2, 1  and then from x5 values repeat

Thus, x2020 = 1 and x2021 = 2

Ans(3)