Question 81628
The answer is got by logical conclusion like this:
The method is halving & doubling

Qn 1 ..Is your number say Less than 50...If Yes
Qn 2 ..Is your number say Less than 25...If Yes
Qn 3 ..Is your number say Less than 13...If Yes
Qn 4 ..Is your number say Less than 07...If Yes
Qn 5 ..Is your number say Less than 04...If Yes
Qn 6 ..Is your number say Less than 02...If Yes
Qn 7 ..Is your number say equal to  01... Yes.

If for Qn no 1 it is "No" you add 25 (50% 0f the difference)  & ask for <75 & so on.
Literally the number of qns should not exceed 7.

And for a number leass than 200 the number of Qns needed is 8.

So your answer : 7 questions.