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Question 61
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
Solution
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.
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