Question
A test has 50 questions. A student scores 1 mark for a correct answer, −13 for a wrong answer, and −16 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
Answer: Option B
:
B
Let the number of correct answers be 'x', number of wrong answers be 'y' and number of questions not attempted be 'z'.
Thus,x+y+z=50 .............(i)
And x−y3−z6=32
The second equation can be written as,
6x-2y-z=192 ...................(ii)
Adding the two equations we get,
7x−y=242⇒x=2427+y7=242+y7
Since, x and y are both integers, y cannot be 1 or 2. The minimum value that y can have is 3.
Hence option (b)
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:
B
Let the number of correct answers be 'x', number of wrong answers be 'y' and number of questions not attempted be 'z'.
Thus,x+y+z=50 .............(i)
And x−y3−z6=32
The second equation can be written as,
6x-2y-z=192 ...................(ii)
Adding the two equations we get,
7x−y=242⇒x=2427+y7=242+y7
Since, x and y are both integers, y cannot be 1 or 2. The minimum value that y can have is 3.
Hence option (b)
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