5) In a test (+ 5) marks are given for every correct answer and (-2) marks are given for every
incorrect answer.
(1) Radhika answered all the questions and scored 30 marks though she got 10 correct answers.
(ii) Jay also answered all the questions and scored (-12) marks though he got 4 correct answers.
How many incorrect answers had they attempted ?
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Answer:
(i) Marks given for one correct answer = 5
So, marks given for 10 correct answers = 5×10=50
Radhika's Score = 30
Marks obtained for incorrect answers = 30-50=-20
Marks given for 1 incorrect answers = (-2)
Therefore,No.of incorrect answers = (-20)÷(-2)=10
(ii) Marks given for 4 correct answers = 5 4 = 20
Jay’s score = –12
Marks obtained for incorrect answers = –12 – 20 = – 32
Marks given for one incorrect answer = (–2)
Therefore number of incorrect answers = (–32) ÷ (–2) = 16
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