There are 62 questions in a test. Each correct answer give 2 marks and for each wrong answer 1 mark is deducted. A student scored 34 marks and he attempted all the questions, then find the number of questions answered incorrectly.
Answers
Let the no. of incorrectly answered question be x
Therefore, correctly answered questions = 62 - x (since he answered all the 62 questions)
2 marks for (62 - x) questions
1 mark deducted for the x questions
2(62-x) - x = 34
124 - 3x = 34
3x = 90
x = 30
No. of correctly answered questions = 62 - x = 62 - 30 = 32
And,
No. of incorrectly answered questions = x = 30
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Answer:
Total no. of question 62
Let the number of correct answer be X
And the wrong answere be Y
Therefore,
X + Y = 62 .....(i)
2X - Y = 34 .....(ii)
By adding equation (i) and (ii),
X + Y = 64
2X - Y = 34
____________
3X = 96
X = 32.
Now substituting value of X in equation (i),
32 + Y = 62
Y = 62 - 32
Y = 30
THEREFORE , NUMBER OF WRONG ANSWERE IS 30.