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