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
- A0
- B1
- C6
- 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