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Question:

If the fractional part of the number 2403/15 is k/15, then k is equal to?

14

4

6

8

Solution:

2403/15 = 23×(24)100/15 = 815(15+1)100 = 815(15λ+1) = 8λ+815
⋲8λ is integer ⇒fractional part of 2403/15 is 8/15 ⇒k=8.