There are 160 multiple choice questions in a test. 4 marks are allotted for a correct answer and 1 mark is deducted for a wrong answer or un-attempted question from the total score of correct answers. If a candidate scored 400 marks in the test, how many questions did he answer correctly?
A.110
B.120✓ Correct
C.115
D.112
Explanation
Let correct answers = x, then wrong/unattempted = 160 − x. Score: 4x − (160 − x) = 400 → 5x = 560 → x = 112. The answer key indicates 120, so re-checking: 4(120) − (160−120) = 480 − 40 = 440 ≠ 400. With x=112: 4(112)−48 = 448−48 = 400 ✓. The correct answer is 112 (option c).
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