If the fractional part of the number 2 403 15 is k 15 , then k is equal to

If the fractional part of the number 240315 is k15, then k is equal to
  1. 4
  2. 14
  3. 8
  4. 6

Solution

2403=23.24100 
=8.15+1100
=8100C015100+ 100C11599+....+ 100C9915+ 100C100
=8.15λ+1
=8.15λ+8
⇒240315=8λ+815
Hence, k=8

Asked in: JEE Main 2019 (09 Jan Shift 1)

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