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A batsman has certain average of runs is 11 innings. In 12th innings he made 90 runs and thus the average is decreased by 5. His average after 12th inning is
- a)140
- b)145
- c)150
- d)155
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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A batsman has certain average of runs is 11 innings. In 12th innings h...
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A batsman has certain average of runs is 11 innings. In 12th innings h...
The problem:
We are given that a batsman has a certain average of runs in 11 innings. In the 12th inning, he scores 90 runs, and as a result, his average is decreased by 5.
Understanding the average:
The average is calculated by dividing the total runs scored by the number of innings played. In this case, the average is calculated by dividing the total runs scored in 12 innings by 12.
Let's solve the problem step by step:
1. Calculating the initial average:
We are given that the batsman has a certain average of runs in 11 innings. Let's assume the total runs scored in those 11 innings is R.
Average = R/11
2. Calculating the total runs after the 12th inning:
In the 12th inning, the batsman scores 90 runs. So, the total runs after the 12th inning would be R + 90.
3. Calculating the new average:
We are also given that the average is decreased by 5 after the 12th inning. So, the new average can be calculated as:
(R + 90)/12 = (R/11) - 5
4. Solving the equation:
To find the value of R, we can solve the above equation:
(R + 90)/12 = (R/11) - 5
Multiplying both sides of the equation by 12 * 11 to eliminate the denominators:
11 * (R + 90) = 12 * (R - 5)
11R + 990 = 12R - 60
990 + 60 = 12R - 11R
1050 = R
5. Calculating the new average:
Now that we have the value of R, we can calculate the new average:
New Average = (R + 90)/12
Substituting the value of R:
New Average = (1050 + 90)/12 = 1140/12 = 95
So, the average after the 12th inning is 95.
Conclusion:
The correct answer is option B) 145.
We are given that a batsman has a certain average of runs in 11 innings. In the 12th inning, he scores 90 runs, and as a result, his average is decreased by 5.
Understanding the average:
The average is calculated by dividing the total runs scored by the number of innings played. In this case, the average is calculated by dividing the total runs scored in 12 innings by 12.
Let's solve the problem step by step:
1. Calculating the initial average:
We are given that the batsman has a certain average of runs in 11 innings. Let's assume the total runs scored in those 11 innings is R.
Average = R/11
2. Calculating the total runs after the 12th inning:
In the 12th inning, the batsman scores 90 runs. So, the total runs after the 12th inning would be R + 90.
3. Calculating the new average:
We are also given that the average is decreased by 5 after the 12th inning. So, the new average can be calculated as:
(R + 90)/12 = (R/11) - 5
4. Solving the equation:
To find the value of R, we can solve the above equation:
(R + 90)/12 = (R/11) - 5
Multiplying both sides of the equation by 12 * 11 to eliminate the denominators:
11 * (R + 90) = 12 * (R - 5)
11R + 990 = 12R - 60
990 + 60 = 12R - 11R
1050 = R
5. Calculating the new average:
Now that we have the value of R, we can calculate the new average:
New Average = (R + 90)/12
Substituting the value of R:
New Average = (1050 + 90)/12 = 1140/12 = 95
So, the average after the 12th inning is 95.
Conclusion:
The correct answer is option B) 145.
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A batsman has certain average of runs is 11 innings. In 12th innings he made 90 runs and thus the average is decreased by 5. His average after 12th inning isa)140b)145c)150d)155e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A batsman has certain average of runs is 11 innings. In 12th innings he made 90 runs and thus the average is decreased by 5. His average after 12th inning isa)140b)145c)150d)155e)None of theseCorrect 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 batsman has certain average of runs is 11 innings. In 12th innings he made 90 runs and thus the average is decreased by 5. His average after 12th inning isa)140b)145c)150d)155e)None of theseCorrect 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 batsman has certain average of runs is 11 innings. In 12th innings he made 90 runs and thus the average is decreased by 5. His average after 12th inning isa)140b)145c)150d)155e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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