If 0 lt x lt 1000 and [x/2]+[x/3]+[x/5...

If `0 lt x lt 1000 and [x/2]+[x/3]+[x/5]=31/30x`, (where `[.]` denotes the greatest integer function then number of possible values of x.

A

32

B

33

C

34

D

none of these

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The correct Answer is:

B

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