A test consists of 25 MCQs. Each correct answer gives +4 marks and incorrect answer gives -1 mark. If a candidate scores 74 marks, then how many questions were left unattempted?

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Q: 44 (CAPF/2022)
A test consists of 25 MCQs. Each correct answer gives +4 marks and incorrect answer gives -1 mark. If a candidate scores 74 marks, then how many questions were left unattempted?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,5,12,5,4,6,2

The question is based on a multiple-choice test scenario where a correct answer adds 4 points and an incorrect answer subtracts 1 point. The candidate in question scored 74 points.

Option 1 infers that the candidate left 4 questions unattempted. A net total of 74 points could be achieved by correctly answering 19 questions and incorrectly answering 2, which equals 76 marks (19*4) -2 (2*-1), which equates to 74 marks. Thus, 19 + 2 = 21 total attempts were made, meaning 4 were left unattempted (25 - 21 = 4).

Option 2 suggests that 3 questions were not answered, which doesn`t quite align with the scoring system.

Option 3 suggests 5 questions remained unattempted, which would not result in a score of 74.

Option 4 implies that 9 questions remained unmarked, which is not possible given the scoring system and total score achieved.

Therefore, the correct answer is Option 1- the candidate must have left 4 questions unattempted to get 74 marks.

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