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X attempts 100 questions and gets 340 marks. If for every correct answer is 4 marks and wrong answer is negative one mark, then the number of questions wrongly answered by Mr. X is:
- a)14
- b)15
- c)12
- d)13
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
X attempts 100 questions and gets 340 marks. If for every correct answ...
Let the wrong questions attempt by Mr. X be a then
Right question = (100 – a)
According to the question
⇒ (100 – a) × 4 – a × 1 = 340
⇒ 400 – 4a – a = 340
⇒ 5a = 400 – 340 = 60
⇒ a = 60/5 = 12
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Community Answer
X attempts 100 questions and gets 340 marks. If for every correct answ...
Question Analysis:
We are given that X attempts 100 questions and scores 340 marks. Each correct answer is awarded 4 marks and each wrong answer deducts 1 mark. We need to determine the number of questions that X answered incorrectly.
Solution:
Let's assume the number of questions answered correctly by X is 'C' and the number of questions answered incorrectly is 'W'.
Calculating Total Marks:
We know that each correct answer scores 4 marks and each wrong answer deducts 1 mark. Therefore, the total marks obtained by X can be calculated using the following equation:
Total Marks = (4 * C) + (-1 * W)
Since X scored 340 marks, we can write the equation as:
340 = (4 * C) + (-1 * W)
Calculating Total Questions:
The total number of questions attempted by X is given as 100. Therefore, the total number of questions can be calculated using the following equation:
Total Questions = C + W
Since X attempted 100 questions, we can write the equation as:
100 = C + W
Solving the Equations:
We have two equations:
340 = (4 * C) + (-1 * W)
100 = C + W
We can solve these equations simultaneously to find the values of C and W.
Multiplying the Second Equation:
To eliminate one variable, we can multiply the second equation by 4:
4 * 100 = 4 * C + 4 * W
400 = 4C + 4W
Substituting the Result in First Equation:
Now we can substitute the result of the second equation in the first equation:
340 = (4 * C) + (-1 * W)
340 = (4 * C) + (-1 * W)
340 = 4C - W
Since we know that 400 = 4C + 4W, we can substitute 4C + 4W in place of 400:
340 = 4C - W
340 = 400 - W
W = 400 - 340
W = 60
Determining the Number of Incorrectly Answered Questions:
We have found that W = 60, which represents the number of questions answered incorrectly by X.
Therefore, the correct answer is option (c) 12.
We are given that X attempts 100 questions and scores 340 marks. Each correct answer is awarded 4 marks and each wrong answer deducts 1 mark. We need to determine the number of questions that X answered incorrectly.
Solution:
Let's assume the number of questions answered correctly by X is 'C' and the number of questions answered incorrectly is 'W'.
Calculating Total Marks:
We know that each correct answer scores 4 marks and each wrong answer deducts 1 mark. Therefore, the total marks obtained by X can be calculated using the following equation:
Total Marks = (4 * C) + (-1 * W)
Since X scored 340 marks, we can write the equation as:
340 = (4 * C) + (-1 * W)
Calculating Total Questions:
The total number of questions attempted by X is given as 100. Therefore, the total number of questions can be calculated using the following equation:
Total Questions = C + W
Since X attempted 100 questions, we can write the equation as:
100 = C + W
Solving the Equations:
We have two equations:
340 = (4 * C) + (-1 * W)
100 = C + W
We can solve these equations simultaneously to find the values of C and W.
Multiplying the Second Equation:
To eliminate one variable, we can multiply the second equation by 4:
4 * 100 = 4 * C + 4 * W
400 = 4C + 4W
Substituting the Result in First Equation:
Now we can substitute the result of the second equation in the first equation:
340 = (4 * C) + (-1 * W)
340 = (4 * C) + (-1 * W)
340 = 4C - W
Since we know that 400 = 4C + 4W, we can substitute 4C + 4W in place of 400:
340 = 4C - W
340 = 400 - W
W = 400 - 340
W = 60
Determining the Number of Incorrectly Answered Questions:
We have found that W = 60, which represents the number of questions answered incorrectly by X.
Therefore, the correct answer is option (c) 12.
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