Question

there are 180 multiple choice questions in a test a candidate gets 4 marks for every correct answer and for every un-attempted or wrongly answered one mark is deducted from total score of correct answer. if a candidate scored 450 marks in the test how many questions did he answer correctly ​

Answer 1

Answer:

he answered 126 questions correctly

Step-by-step explanation:

let 'x' be the number of questions answered correctly

therefore, '180-x' is the number of questions answered incorrectly

total marks = 450

marks for every right answer= +4

marks for every wrong answer = -1

therefore,

4x + (-1)(180-x) = 450

4x-180+x = 450

5x = 630

x = 126

Answer 2

Step-by-step explanation:

4x-y = 450-------------(1) x+y=180---------(2)

here x is questions answered correctly

and y is unattempted or wrongly answered

solving both equations.....

4x-y = 450

x+y=180

------------------

5x=630

x=126

substitute x in (1) or (2)

126+y =180

y=54

therefore questions answered correctly are 126

questions not attempted or un attempted are 54

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