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Brian Lara, the famous batsman, scored 6,000 runs in certain number of innings. In the next five innings he was out of form and hence, could make only a total of 90 runs, as a result of which his average fell by 2 runs. How many innings did he play in all, if he gets out in all the innings?
- a)105
- b)95
- c)115
- d)104
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Brian Lara, the famous batsman, scored 6,000 runs in certain number of...
The total innings will be 105.
1. Assume the innings as X and Average as Y.
2. Form equations with the formula for average=runs/Innings.
3. The equations will be,
Y=6000/X and (Y-2)=6090/(X+5).
4. Solving the above two equations, the values of X and Y will be 100 & 60.
5. So the total innings played will be X+5 which will be equal to 105.
Most Upvoted Answer
Brian Lara, the famous batsman, scored 6,000 runs in certain number of...
Given information:
- Brian Lara scored 6,000 runs in a certain number of innings.
- In the next five innings, he could make only a total of 90 runs, and his average fell by 2 runs.
- He gets out in all the innings.
To find: How many innings did he play in all?
Solution:
Let's assume that Brian Lara played 'x' innings in total before his bad form.
- We know that he scored 6,000 runs in these 'x' innings. Therefore, his average before the bad form was 6,000/x.
- In the next five innings, he scored a total of 90 runs, which means his average in these innings was 90/5 = 18 runs.
- We are also given that his average fell by 2 runs after this bad form. So, we can set up an equation:
(6000 + 90)/(x + 5) = (6000/x) - 2
- Simplifying this equation:
=> (6000x + 30000 + 450x)/(x^2 + 5x) = (6000 - 2x) / x
=> 6450x + 30000 = (6000 - 2x)(x + 5)
=> 6450x + 30000 = 6000x + 30000 - 10x + 2x^2 + 50x
=> 2x^2 + 1150x = 0
=> 2x(x + 575) = 0
=> x = 0 or -575
- Since the number of innings cannot be negative or zero, we reject the solution x = 0.
- Therefore, Brian Lara played x = 575 innings before his bad form.
- Adding the five innings of bad form, we get the total number of innings as 575 + 5 = 580.
Therefore, the correct answer is option (A) 105.
- Brian Lara scored 6,000 runs in a certain number of innings.
- In the next five innings, he could make only a total of 90 runs, and his average fell by 2 runs.
- He gets out in all the innings.
To find: How many innings did he play in all?
Solution:
Let's assume that Brian Lara played 'x' innings in total before his bad form.
- We know that he scored 6,000 runs in these 'x' innings. Therefore, his average before the bad form was 6,000/x.
- In the next five innings, he scored a total of 90 runs, which means his average in these innings was 90/5 = 18 runs.
- We are also given that his average fell by 2 runs after this bad form. So, we can set up an equation:
(6000 + 90)/(x + 5) = (6000/x) - 2
- Simplifying this equation:
=> (6000x + 30000 + 450x)/(x^2 + 5x) = (6000 - 2x) / x
=> 6450x + 30000 = (6000 - 2x)(x + 5)
=> 6450x + 30000 = 6000x + 30000 - 10x + 2x^2 + 50x
=> 2x^2 + 1150x = 0
=> 2x(x + 575) = 0
=> x = 0 or -575
- Since the number of innings cannot be negative or zero, we reject the solution x = 0.
- Therefore, Brian Lara played x = 575 innings before his bad form.
- Adding the five innings of bad form, we get the total number of innings as 575 + 5 = 580.
Therefore, the correct answer is option (A) 105.
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Brian Lara, the famous batsman, scored 6,000 runs in certain number of innings. In the next five innings he was out of form and hence, could make only a total of 90 runs, as a result of which his average fell by 2 runs. How many innings did he play in all, if he gets out in all the innings?a)105b)95c)115d)104Correct answer is option 'A'. Can you explain this answer?
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Brian Lara, the famous batsman, scored 6,000 runs in certain number of innings. In the next five innings he was out of form and hence, could make only a total of 90 runs, as a result of which his average fell by 2 runs. How many innings did he play in all, if he gets out in all the innings?a)105b)95c)115d)104Correct answer is option 'A'. 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 Brian Lara, the famous batsman, scored 6,000 runs in certain number of innings. In the next five innings he was out of form and hence, could make only a total of 90 runs, as a result of which his average fell by 2 runs. How many innings did he play in all, if he gets out in all the innings?a)105b)95c)115d)104Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Brian Lara, the famous batsman, scored 6,000 runs in certain number of innings. In the next five innings he was out of form and hence, could make only a total of 90 runs, as a result of which his average fell by 2 runs. How many innings did he play in all, if he gets out in all the innings?a)105b)95c)115d)104Correct answer is option 'A'. Can you explain this answer?.
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