What is the sum of all digits which appear in all the integers from 10 to 100 ? 

(UPSC CSAT – 2023)

  1. 855
  2. 856
  3. 910
  4. 911

Solution: Ans.(2.)

Every non-zero digit (1, 2, 3, 4, 5, 6, 7, 8, 9) appears 20 times in all the integers from 1 to 99.

19 times in all the integers from 10 to 99.

Sum of all digits appear in the integers from 10 to 99 is = (1×19 + 2×19 + 3×19 + 4×19 + 5×19 + 6×19 + 6×19 + 7×19 + 8×19 + 9×19) = 45 × 19 = 855

Sum of all digits appear in the integers from 10 to 100 is = 855+1 = 856

Video Solution:

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