Question

# The value of {24n15},n∈N is (where {.} represents fractional part function)11511154151415

Solution

## The correct option is A 11524n=16n=(1+15)n=1+ nC1⋅15+ nC2⋅152+…+ nCn⋅15n=1+15k,  k∈N Now,  24n15=k+115 Hence, {24n15}=115

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