1. 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
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By: anil on 05 May 2019 02.30 am
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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