Q26 / 55 · KVPY 2020 (SA) · Mathematics

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

  • A
    0
  • Correct answer
    B
    1
  • C
    6
  • D
    9

Solution

Figure

find the 2021 term

double digit =90×2

Figure

we need 2021st digit

Till two digit number we have 189 digit

we need 2021-189=1832 digit

triple digit =18323=610×3+2

we take 610 three digit number

100,101,……..,709

Figure

Ans =1

Hence, the correct answer is option: 'B'.

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