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

a. 6

b. 12

c. 3

d. 9

Let the number of questions answered correctly be x and the number of questions answered wrongly be y.

So, number of questions left unattempted = (50-x-y)

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

=>6x-2y-50+x+y=192=> 7x-y=242=> y = 7x-242

If x=35,y=3

If x=36, y = 10

So, min. value of y is 3.

The number of wrongly answered questions cannot be less than 3.**Write Here**