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The average marks scored by Ajay in certain number of tests is 84 and his score in last test other than the above tests is 100 , and the average of all these tests is 86 then number of tests he attended is __________
- a)8
- b)7
- c)9
- d)10
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The average marks scored by Ajay in certain number of tests is 84 and ...
Average Marks Calculation
Let's assume that Ajay attended n tests before the last test.
According to the given information, the average marks scored by Ajay in these n tests is 84. This means that the total marks scored by Ajay in these n tests is 84n.
Last Test Score
Ajay scored 100 marks in the last test other than the above tests.
Average of All Tests
The average of all the tests, including the last test, is given to be 86.
Total Marks Calculation
Let's assume that Ajay attended a total of m tests, including the last test.
The total marks scored by Ajay in all these tests can be calculated by multiplying the average marks (86) by the total number of tests (m). So, the total marks scored by Ajay in all the tests is 86m.
Equation
Based on the above information, we can set up the following equation:
(84n + 100) / (n + 1) = 86
Solving the Equation
To solve the equation, we can start by cross-multiplying:
84n + 100 = 86(n + 1)
Expanding and simplifying:
84n + 100 = 86n + 86
Rearranging the terms:
2n = 14
Dividing both sides by 2:
n = 7
Number of Tests Attended
Since n represents the number of tests attended by Ajay before the last test, and we are asked to find the total number of tests attended, we add 1 to n:
Total tests attended = n + 1 = 7 + 1 = 8
Therefore, the number of tests attended by Ajay is 8, which corresponds to option A.
Let's assume that Ajay attended n tests before the last test.
According to the given information, the average marks scored by Ajay in these n tests is 84. This means that the total marks scored by Ajay in these n tests is 84n.
Last Test Score
Ajay scored 100 marks in the last test other than the above tests.
Average of All Tests
The average of all the tests, including the last test, is given to be 86.
Total Marks Calculation
Let's assume that Ajay attended a total of m tests, including the last test.
The total marks scored by Ajay in all these tests can be calculated by multiplying the average marks (86) by the total number of tests (m). So, the total marks scored by Ajay in all the tests is 86m.
Equation
Based on the above information, we can set up the following equation:
(84n + 100) / (n + 1) = 86
Solving the Equation
To solve the equation, we can start by cross-multiplying:
84n + 100 = 86(n + 1)
Expanding and simplifying:
84n + 100 = 86n + 86
Rearranging the terms:
2n = 14
Dividing both sides by 2:
n = 7
Number of Tests Attended
Since n represents the number of tests attended by Ajay before the last test, and we are asked to find the total number of tests attended, we add 1 to n:
Total tests attended = n + 1 = 7 + 1 = 8
Therefore, the number of tests attended by Ajay is 8, which corresponds to option A.
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Community Answer
The average marks scored by Ajay in certain number of tests is 84 and ...
Let n be the no. of tests
84n+100/(n+1)=86
84n+100=86n+86
2n=14
n=7
I think it is correct
84n+100/(n+1)=86
84n+100=86n+86
2n=14
n=7
I think it is correct
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The average marks scored by Ajay in certain number of tests is 84 and his score in last test other than the above tests is 100 , and the average of all these tests is 86 then number of tests he attended is __________a)8b)7c)9d)10Correct answer is option 'A'. Can you explain this answer?
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The average marks scored by Ajay in certain number of tests is 84 and his score in last test other than the above tests is 100 , and the average of all these tests is 86 then number of tests he attended is __________a)8b)7c)9d)10Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The average marks scored by Ajay in certain number of tests is 84 and his score in last test other than the above tests is 100 , and the average of all these tests is 86 then number of tests he attended is __________a)8b)7c)9d)10Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average marks scored by Ajay in certain number of tests is 84 and his score in last test other than the above tests is 100 , and the average of all these tests is 86 then number of tests he attended is __________a)8b)7c)9d)10Correct answer is option 'A'. Can you explain this answer?.
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