There are 400 multiple choice questions in a test. 4 marks are allotted for a correct answer and 1 mark is deducted for a wrong answer or unattempted question from total score of correct answers. If a candidate has scored 1280 marks in the test, how many questions did the candidate answer correctly?
336
Let the number of correctly answered questions be c. The remaining \((400 - c)\) questions are either wrong or unattempted, each losing 1 mark.
Total score \(= 4c - (400 - c) = 1280\).
Simplifying, \(4c - 400 + c = 1280 \Rightarrow 5c = 1680\).
So \(c = \frac{1680}{5} = 336\).
Hence, the candidate answered 336 questions correctly.
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