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A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?
- a)76
- b)84
- c)82
- d)78
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A student scores an average of 80 marks in six subjects. If the subjec...
According to the question,
480 - 86 - x = 79 4 = 316
Or, lowest score = x = 480 - 86 - 316 = 78
480 - 86 - x = 79 4 = 316
Or, lowest score = x = 480 - 86 - 316 = 78
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A student scores an average of 80 marks in six subjects. If the subjec...
To solve this question, we can use the concept of averages. Let's break down the problem into smaller steps:
Step 1: Calculate the total marks of the student in all six subjects.
Since the student has an average of 80 marks in six subjects, the total marks can be calculated by multiplying the average by the number of subjects:
Total marks = Average marks * Number of subjects = 80 * 6 = 480 marks
Step 2: Calculate the total marks after excluding the highest and lowest scores.
Let's assume the lowest score is L and the highest score is H. Since the average decreases by 1 after excluding the highest and lowest scores, the new average can be calculated as follows:
New average = (Total marks - (H + L)) / (Number of subjects - 2)
Substituting the values, we get:
80 - 1 = (480 - (H + L)) / (6 - 2)
79 = (480 - H - L) / 4
Multiplying both sides by 4, we get:
316 = 480 - H - L
H + L = 480 - 316
H + L = 164
Step 3: Determine the highest score.
The problem states that the highest score is 86, so we can substitute this value into the equation:
86 + L = 164
L = 164 - 86
L = 78
Therefore, the lowest score is 78, which corresponds to option D.
Step 1: Calculate the total marks of the student in all six subjects.
Since the student has an average of 80 marks in six subjects, the total marks can be calculated by multiplying the average by the number of subjects:
Total marks = Average marks * Number of subjects = 80 * 6 = 480 marks
Step 2: Calculate the total marks after excluding the highest and lowest scores.
Let's assume the lowest score is L and the highest score is H. Since the average decreases by 1 after excluding the highest and lowest scores, the new average can be calculated as follows:
New average = (Total marks - (H + L)) / (Number of subjects - 2)
Substituting the values, we get:
80 - 1 = (480 - (H + L)) / (6 - 2)
79 = (480 - H - L) / 4
Multiplying both sides by 4, we get:
316 = 480 - H - L
H + L = 480 - 316
H + L = 164
Step 3: Determine the highest score.
The problem states that the highest score is 86, so we can substitute this value into the equation:
86 + L = 164
L = 164 - 86
L = 78
Therefore, the lowest score is 78, which corresponds to option D.
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A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?a)76b)84c)82d)78Correct answer is option 'D'. Can you explain this answer?
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A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?a)76b)84c)82d)78Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?a)76b)84c)82d)78Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?a)76b)84c)82d)78Correct answer is option 'D'. Can you explain this answer?.
A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?a)76b)84c)82d)78Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?a)76b)84c)82d)78Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student scores an average of 80 marks in six subjects. If the subjects with the highest and the lowest scores are excluded, the average decreases by 1. If his highest score in a subject is 86, what is his lowest score?a)76b)84c)82d)78Correct answer is option 'D'. Can you explain this answer?.
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