JEE Main20199 Jan 2019Morning ShiftMathematicsBinomial TheoremActual

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

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Correct answer

C. 8

Step-by-step solution

2 403 = 2 3 . 2 4 100   = 8 . 15 + 1 100 = 8 100 C 0 15 100 +   100 C 1 15 99 + . . . . +   100 C 99 15 +   100 C 100 = 8 . 15 λ + 1 = 8.15 λ + 8 ⇒ 2 403 15 = 8 λ + 8 15 Hence, k = 8

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