State true or false:
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, Yash would have scored 50 marks. Then the total number of questions in the test was 25. (Assuming Yash attempted all questions)

True

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False

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Solution

The correct option is B
False

Let the number of right answers and wrong answers be x and y respectively.
According to the question,
3x - y = 40 ... (i)
4x - 2y = 50
$\Rightarrow$ 2x - y = 25 ... (ii)
Subtracting equation (ii) from equation (i), we get
x = 15 ... (iii)
Putting this value in equation (ii), we get
30 - y = 25
y = 5
Therefore, number of right answers is 15 and number of wrong answers is 5
Total number of questions is 20.

Suggest Corrections

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