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Question

# Monish scored 50 marks, when each correct answer is awarded 4 marks and 1 mark is deducted for each wrong answer. Had 6 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, then Monish would have scored 60 marks. If all the questions are to be attempted compulsorily, then how many questions were there in the test?

A
60
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B
20
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C
30
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D
50
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Solution

## The correct option is D 50Solution: - Let the number of correct answers marked by Monish be X and wrong answer be Y. 4X – Y = 50 ___________(1) 6X – 2Y= 60___________(2) From Equation (1) and (2). X = 20 and Y = 30 Total number of questions = 20 + 30 = 50.

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