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In an examination the maximum marks in Mathematics, English, Science, Social Studies and Urdu are 200, 200, 150, 150 and 100 respectively. A student got 70% in Mathematics, 61% in English, 60% in Science, 50% in Social Studies and 61% in Urdu. Find his over all percentage in the examination.
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In an examination (+3) allotted for each correct answer and (-2) for each wrong answer). Student scores 400 marks.
Let him get x correct answers and (150 - x) answers wrong. Equation formed would be:
3x - 2(150- x) = 400
=> 3x - 300 + 2x = 400
5x = 700 therefore x = 140.
Hence the student has answered 140 questions correctly and 10 questions incorrectly.
Let's check:
Correct = 3*140= 420
Wrong = 2*10 = (-) 20
Net marks scored= 400 marks.
Let him get x correct answers and (150 - x) answers wrong. Equation formed would be:
3x - 2(150- x) = 400
=> 3x - 300 + 2x = 400
5x = 700 therefore x = 140.
Hence the student has answered 140 questions correctly and 10 questions incorrectly.
Let's check:
Correct = 3*140= 420
Wrong = 2*10 = (-) 20
Net marks scored= 400 marks.
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