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Question

In an exam one Mark is awarded for one correct answers and 1\4 Marks is deducted for each wrong answers. A student who awarded a total of 120 questions, got 90 Mark. How many questions did he answer correctly

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Solution

Let correct answer be x
Wrong answer be y
By the given condition
x + y = 120...... (i)
x(1) - y(1/4) = 90 ......(ii)
solve equations
(i)-(ii)=>y(5/4)=30
=>y=4×30/5=24
x +24=120
=>x=96
Correct answer is 96

He answered 96 questions correctly.
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