Correct Answer - Option 3 : 95
Given :
There are some two digit numbers such that when their digits are interchanged they get a difference of 36 between them
Calculations :
Let the number be 10x + y
Number after digits interchanged 10y + x
According to the question
10x + y - (10y + x) = 36
9x - 9y = 36
x - y = 4
Number where difference of digits is 4 are 51, 62, 73, 84 and 95
We can see 95 is the highest among them.
∴ Option 3 will be the correct answer.