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A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?
- a)45
- b)40
- c)35
- d)30
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A student's mark was wrongly entered as 83 instead of 63. Due to that ...
Let the total number of students = x
The average marks increased by
due to an increase of 83 - 63 = 20 marks.
But total increase in the marks =
Hence we can write as
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
A student's mark was wrongly entered as 83 instead of 63. Due to that ...
Let the sum be x then n be no of students and a be avg then proceed its an easy task
Community Answer
A student's mark was wrongly entered as 83 instead of 63. Due to that ...
To solve this problem, let's first analyze the given information:
- A student's mark was wrongly entered as 83 instead of 63.
- Due to this error, the average marks for the class got increased by half 1/2.
Let's assume there are 'n' students in the class.
Calculating the initial average:
- The sum of all the marks in the class before the error occurred would be (n * previous average).
- Since the average is the sum of all the marks divided by the number of students, the previous average can be written as (sum of all marks / n).
Calculating the final average:
- If the student's mark was wrongly entered as 83 instead of 63, it means that the sum of all marks was increased by 83 - 63 = 20.
- The new sum of all marks in the class after the error occurred would be (sum of all marks + 20).
- The number of students remains the same, i.e., 'n'.
Now, let's equate the initial and final average:
(previous average) + 1/2 = (new sum of all marks) / n
Breaking down the equation:
(sum of all marks / n) + 1/2 = (sum of all marks + 20) / n
Multiplying both sides of the equation by 'n':
(sum of all marks) + (1/2 * n) = (sum of all marks) + 20
Simplifying the equation:
1/2 * n = 20
Multiplying both sides of the equation by 2:
n = 40
Therefore, the number of students in the class is 40 (option B).
- A student's mark was wrongly entered as 83 instead of 63.
- Due to this error, the average marks for the class got increased by half 1/2.
Let's assume there are 'n' students in the class.
Calculating the initial average:
- The sum of all the marks in the class before the error occurred would be (n * previous average).
- Since the average is the sum of all the marks divided by the number of students, the previous average can be written as (sum of all marks / n).
Calculating the final average:
- If the student's mark was wrongly entered as 83 instead of 63, it means that the sum of all marks was increased by 83 - 63 = 20.
- The new sum of all marks in the class after the error occurred would be (sum of all marks + 20).
- The number of students remains the same, i.e., 'n'.
Now, let's equate the initial and final average:
(previous average) + 1/2 = (new sum of all marks) / n
Breaking down the equation:
(sum of all marks / n) + 1/2 = (sum of all marks + 20) / n
Multiplying both sides of the equation by 'n':
(sum of all marks) + (1/2 * n) = (sum of all marks) + 20
Simplifying the equation:
1/2 * n = 20
Multiplying both sides of the equation by 2:
n = 40
Therefore, the number of students in the class is 40 (option B).
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A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?a)45b)40c)35d)30Correct answer is option 'B'. Can you explain this answer?
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A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?a)45b)40c)35d)30Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?a)45b)40c)35d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?a)45b)40c)35d)30Correct answer is option 'B'. Can you explain this answer?.
A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?a)45b)40c)35d)30Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?a)45b)40c)35d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?a)45b)40c)35d)30Correct answer is option 'B'. Can you explain this answer?.
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