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Analytical Puzzles Expert 3 min

A test contains 50 questions. A correct answer gives 2 marks and an incorrect answer gives -1 mark. A student attempts all questions and scores 70 marks. How many answers were correct?

Hint
Let correct answers be x.

Answer

40 correct answers.

Explanation

If x are correct, 50-x are incorrect. Score = 2x - (50-x) = 3x-50. Setting this equal to 70 gives x=40.

Step-by-Step Solution

2x -(50-x)=70.
3x-50=70.
3x=120.
x=40.
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