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Read the passage below and solve the questions based on it.
The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.
The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.
Q. How many innings in all did he play?
- a)35
- b)60
- c)30
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Read the passage below and solve the questions based on it.The average...
Let number of innings be x
average of the first (x-3) innings = 21.75
Total of the first (x-3) innings = 21.75(x-3)
Total of the first (x-3) innings = 21.75(x-3)
Average of the x innings = (21.75+1.125) = 22.875
Total of the x innings = 22.875x
Total of the x innings = 22.875x
21.75(x-3) + 28+34+37= 22.875x
21.75(x-3) + 99 = 22.875x
21.75x - 65.25 + 99 = 22.875x
1.125x = 33.75
x = 30
21.75(x-3) + 99 = 22.875x
21.75x - 65.25 + 99 = 22.875x
1.125x = 33.75
x = 30
Most Upvoted Answer
Read the passage below and solve the questions based on it.The average...
Solution:
Given, the average score of a batsman for a certain number of innings was 21.75 per inning.
Let the number of innings played by the batsman be x.
Therefore, the total runs scored by the batsman in x innings = 21.75x
It is given that the batsman played 3 innings more and scored 28, 34 and 37 runs respectively, thus increasing his average by 1.25.
So, the new average score of the batsman is 21.75 + 1.25 = 23 runs per inning.
Therefore, the total runs scored by the batsman in (x+3) innings = 23(x+3)
It is given that the batsman scored 28, 34 and 37 runs in the 3 innings.
So, the total runs scored by the batsman in x innings + 28 + 34 + 37 = 23(x+3)
21.75x + 28 + 34 + 37 = 23x + 69
92.75 = 1.25x + 69
1.25x = 23.75
x = 19
Therefore, the batsman played 19 + 3 = 22 innings in all.
Hence, the answer is option (c) 30.
Given, the average score of a batsman for a certain number of innings was 21.75 per inning.
Let the number of innings played by the batsman be x.
Therefore, the total runs scored by the batsman in x innings = 21.75x
It is given that the batsman played 3 innings more and scored 28, 34 and 37 runs respectively, thus increasing his average by 1.25.
So, the new average score of the batsman is 21.75 + 1.25 = 23 runs per inning.
Therefore, the total runs scored by the batsman in (x+3) innings = 23(x+3)
It is given that the batsman scored 28, 34 and 37 runs in the 3 innings.
So, the total runs scored by the batsman in x innings + 28 + 34 + 37 = 23(x+3)
21.75x + 28 + 34 + 37 = 23x + 69
92.75 = 1.25x + 69
1.25x = 23.75
x = 19
Therefore, the batsman played 19 + 3 = 22 innings in all.
Hence, the answer is option (c) 30.
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Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. 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 Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. 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 Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q. How many innings in all did he play?a)35b)60c)30d)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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