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In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:
- a)150
- b)200
- c)300
- d)600
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an exam, the average was found to be 50 marks. After deducting comp...
Let number of candidates be n
50 × n – 100 × 30 = 45 × n
n = 600
50 × n – 100 × 30 = 45 × n
n = 600
Most Upvoted Answer
In an exam, the average was found to be 50 marks. After deducting comp...
To solve this problem, we can use the concept of weighted averages. Let's break down the problem step by step:
Given information:
- The original average of the 100 candidates' marks was 50.
- After correcting computational errors, the marks of all candidates were changed from 90 to 60 each.
- The new average after the correction is 45.
Step 1: Finding the total marks before correction
To find the total marks before correction, we can multiply the average by the number of candidates.
Total marks before correction = Average × Number of candidates
Total marks before correction = 50 × 100 = 5000
Step 2: Finding the total marks after correction
To find the total marks after correction, we need to consider the new average and the number of candidates.
Total marks after correction = Average × Number of candidates
Total marks after correction = 45 × 100 = 4500
Step 3: Finding the difference in total marks
The difference in total marks before and after correction can be calculated by subtracting the total marks after correction from the total marks before correction.
Difference in total marks = Total marks before correction - Total marks after correction
Difference in total marks = 5000 - 4500 = 500
Step 4: Finding the number of candidates
To find the number of candidates, we can divide the difference in total marks by the difference in marks for each candidate.
Number of candidates = Difference in total marks / Difference in marks per candidate
Number of candidates = 500 / (90 - 60) = 500 / 30 = 16.67
Since the number of candidates cannot be in decimal places, we need to round up to the nearest whole number. Therefore, the number of candidates who took the exam is 17.
However, none of the given options match the calculated result of 17. Therefore, there might be an error in the question or the options provided. Please double-check the question or consult with the exam invigilator for clarification.
Given information:
- The original average of the 100 candidates' marks was 50.
- After correcting computational errors, the marks of all candidates were changed from 90 to 60 each.
- The new average after the correction is 45.
Step 1: Finding the total marks before correction
To find the total marks before correction, we can multiply the average by the number of candidates.
Total marks before correction = Average × Number of candidates
Total marks before correction = 50 × 100 = 5000
Step 2: Finding the total marks after correction
To find the total marks after correction, we need to consider the new average and the number of candidates.
Total marks after correction = Average × Number of candidates
Total marks after correction = 45 × 100 = 4500
Step 3: Finding the difference in total marks
The difference in total marks before and after correction can be calculated by subtracting the total marks after correction from the total marks before correction.
Difference in total marks = Total marks before correction - Total marks after correction
Difference in total marks = 5000 - 4500 = 500
Step 4: Finding the number of candidates
To find the number of candidates, we can divide the difference in total marks by the difference in marks for each candidate.
Number of candidates = Difference in total marks / Difference in marks per candidate
Number of candidates = 500 / (90 - 60) = 500 / 30 = 16.67
Since the number of candidates cannot be in decimal places, we need to round up to the nearest whole number. Therefore, the number of candidates who took the exam is 17.
However, none of the given options match the calculated result of 17. Therefore, there might be an error in the question or the options provided. Please double-check the question or consult with the exam invigilator for clarification.
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In an exam, the average was found to be 50 marks. After deducting comp...
Consider X as remaining student noAnd "Y" as Thier marks Then you can write 50=100(90)+XY/100+X ------>1and 45= 100(60)+XY/100+X ------->2EQ 1-2 You will get. X=500And total no will be X+100 ie 600
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In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer?
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In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer?.
In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer?.
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In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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