Anil scored $40$ marks in a test, getting $3$ marks for each correct answer and losing $7$ marks for each wrong answer. Had $5$ marks been awarded for each correct answer and $3$ marks been deducted for each incorrect answer, then Anil would have scored $60$ marks. The number of questions in the test.

15

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25

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20

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30

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Solution

The correct option is B $20$
Let the number of correct answer $= x$
incorrect answer $= y$
$3 x - y = 40$
$5 x - 3 y = 60$
Solving by elimination method $x = 15, y = 5$
$\Rightarrow$ $x + y = 20$

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Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?
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Anil scored 40 marks in a test, getting 3 marks for each correct answer and losing 7 marks for each wrong answer. Had 5 marks been awarded for each correct answer and 3 marks been deducted for each incorrect answer, then Anil would have scored 60 marks. The number of questions in the test.

The correct option is B 20Let the number of correct answer =xincorrect answer =y3x−y=405x−3y=60Solving by elimination method x=15,y=5⇒ x+y=20

The correct option is B $20$
Let the number of correct answer $= x$
incorrect answer $= y$
$3 x - y = 40$
$5 x - 3 y = 60$
Solving by elimination method $x = 15, y = 5$
$\Rightarrow$ $x + y = 20$