In a competitive exam there are 90 multiple choice questions 4 marks are awarded for every correct answer,2 marks are deducted for every wrong answer and 0.5 marks are deducted for every unattempted question. from the total score of correct answers.if a students leaves 10 questions unattempted and scores a total of 195 marks, how many of his answers were correct
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Let the correct answer be x and the incorrect option is y so
eq 1. x+y=80. because 10 question he don't attempt ok
now the eq 2 is
4x-2y= 190 because 5 marks are cut because he don't attempt 10question ok
x+y=80
2x-y=95 by taking 2 as a common in eq 2
now I think you can do this ok
eq 1. x+y=80. because 10 question he don't attempt ok
now the eq 2 is
4x-2y= 190 because 5 marks are cut because he don't attempt 10question ok
x+y=80
2x-y=95 by taking 2 as a common in eq 2
now I think you can do this ok
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Answer:
Given :- In a competitive exam there are 90 multiple choice questions 4 marks are awarded for every correct answer,2 marks are deducted for every wrong answer and 0.5 marks are deducted for every unattempted question. from the total score of correct answers.if a students leaves 10 questions unattempted and scores a total of 195 marks, how many of his answers were correct
Solution :-
=> Let the answers correct be 'x'
=>Then, answer wrong = 80
--: According To Condition :-
=>4x-2(80-x) - 10(0.5) = 195
=>4x-160+2x-5 = 195
=>6x = 360
=> x = 60
=> Therefore, correct answer = 60
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