In a competitive examination, 1 mark is awarded for each correct answer while 1/4 mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?
Plz solve tomorrow is my test for this question
Answers
Answer:
Total answers = 120
Let the number of correct answers = x
number of wrong answers = (120-x)
Marks awarded for each right answer = 1
then Marks awarded for x right answer = x × 1 = x marks
Marks deducted for each wrong answer = 0.5
then marks deducted for (120-x) right answers = (120-x) × 0.5 = 60 - 0.5x
So she will get= marks awarded for right answer - marks deducted for wrong answer
= x - (60-0.5x)
= x - 60 + 0.5x
= 1.5x - 60
And she has got = 90 marks
So
1.5x - 60 = 90
⇒ 1.5x = 90 + 60
⇒ 1.5x = 150
⇒ x = 150/1.5
⇒ x = 100
Answer:
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Your answer is
96..
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