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KVPY2020MathematicsPermutation and Combination

If the integers from 1 to 2021 are written as a single integer like 123 … 91011 … 20202021 , then the 2021 st digit (counted from the left) in the resulting number is

Options

  1. A0
  2. B1
  3. C6
  4. D9

Correct answer

B. 1

Step-by-step solution

find the 2021 term double digit = 90 × 2 we need 2021 st digit Till two digit number we have 189 digit we need 2021 - 189 = 1832 digit triple digit = 1832 3 = 610 × 3 + 2 we take 610 three digit number 100 , 101 , … … . . , 709 Ans = 1

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