A test has 50 question ........a student scores 1 mark for a correct answere , -1/3 for a wrong answere and -1/6 for not attempting a question.......if the net score of a student is 32, the number of question answere wrongly by that student cannot be less than______

plzzz find the answere..........rates assured 

Let x be correctly answered, y be wrongly answered.

32 = x - y/3 - (50 - x - y)/6

32 = x - y/3 + x/6 + y/6 - 25/3

32 + 25/3 = 7x/6 - y/6

6*32 + 50 = 7x - y

192 + 50 = 242 = 7x - y

242 = 7x - y

max positive integral value of x (such that 7x is just more than 242) here can be: 35

as 7*35 = 245

242 = 7x - y = 7*35 - 3

y cannot be less than 3...3 is its least positive integral value possible.



so number of questions answered wrongly cannot be less than 3.