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If [x] denotes the integral part of x fo...

If [x] denotes the integral part of x for real x, and
`S= [(1)/(4)]+[(1)/(4) +(1)/(100)]+[(1)/(4)+(1)/(100)] + [(1)/(4)+(3)/(200)] .....+ [(1)/(4)+ (199)/(200)]` then

A

S is a composite number

B

Exposent of S in 100 is 12

C

Number of factors of S is 10

D

`""^(25)C,` is max when `r =51`

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A, B
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