In an exam, a candidate attempts 20 questions and scores 72 marks. If 5 marks are awarded for each correct answer and 2 marks are deducted for each wrong answer, then how many questions: were answered correctly by him ?

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Q: 111 (CAPF/2020)
In an exam, a candidate attempts 20 questions and scores 72 marks. If 5 marks are awarded for each correct answer and 2 marks are deducted for each wrong answer, then how many questions: were answered correctly by him ?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,14,5,2,2,14,1

keywords: 

{'exam': [0, 0, 0, 1], 'marks': [0, 1, 3, 2], 'many questions': [0, 0, 0, 1], 'questions': [2, 0, 5, 3], 'candidate': [1, 0, 0, 0], 'wrong answer': [0, 0, 0, 1]}

In this question, the candidate attempted 20 questions and scored 72 marks. Each correct answer is awarded 5 marks and each wrong answer is deducted 2 marks.

To find the number of questions answered correctly by the candidate, we can use the following formula:

Number of correct answers = (Total marks - Total marks deducted) / Marks awarded per correct answer

In this case, the total marks is 72 and the marks awarded per correct answer is 5. The total marks deducted can be calculated by finding the number of wrong answers and multiplying it by 2.

Let`s calculate the total marks deducted:

Total marks deducted = Number of wrong answers * Marks deducted per wrong answer

Since we do not have the number of wrong answers, we need to find it.

Total marks deducted = 72 - (Number of correct answers * Marks awarded per correct answer)

Now, let`s substitute the values into the formula:

Total marks deducted = 72 - (3 * 5)

Total marks deducted = 72 - 15

Total marks deducted = 57

Next, we can find the number of wrong answers:

Number of wrong answers = Total marks deducted / Marks deducted per wrong answer

Number of wrong answers = 57 / 2

Number of wrong