What is the max runs one can score in a 50 overs match?

I think your solution is perfect. I do not follow cricket and therefore not aware of all the rules; but considering the change of strike at the end of every over; your solution looks perfect.

The answer seems B)1650
here's how:
One batsman has to score this, so if he hits 5 sixes in a over and takes another 3 he will retain. So for one over the batsman get 5*6+3=33
Ultimately in 50 overs it will be = 33*50 = 1650
However its not the maximum which he is attending, last over requires no change of side,so ultimately it will be 33*49+36 = 1653

Edit: checked your solution, the answer matches with mine. So I dont have problem to accept this as a concrete solution.

A.V.Ramani(A Cricket Puzzle posted by Sri Ganesh on FB)
An interesting Puzzle:
How many runs a single player can score in One day match (50 overs/ 300 balls)
No 'no balls', no wides, no extras, no over throws...So how much runs he can score max???
Choices :
A) 1800. B) 1650. C) 1653. D) 1550. E) 1555 F) 1506

Ans is A) 1800