If { p } denotes the fractional part of the number p , then 3 200 8 is equal to

If {p} denotes the fractional part of the number p, then 32008 is equal to
  1. 58
  2. 78
  3. 38
  4. 18

Solution

 3200=9100

⇒(1+8)100=1+C11008+C210082+...8100
⇒3200=1+8λ, where λ is some integer.
⇒32008=λ+18
⇒32008=18

Asked in: JEE Main 2020 (06 Sep Shift 1)

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