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Directions: Choose the correct answer.
Q. A cricketer has an average of 30 runs in 14 innings. How many runs should he score in his next innings to achieve an average of 32 runs?
- a)65
- b)60
- c)55
- d)50
Correct answer is option 'B'. Can you explain this answer?
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Directions: Choose the correct answer.Q.A cricketer has an average of ...
New Average = 30 x 14 + required run/15
32 × 15 – 30 × 14 = Required run Required run = 60
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Directions: Choose the correct answer.Q.A cricketer has an average of ...
Question Analysis:
- The cricketer has played 14 innings and has an average of 30 runs.
- We need to find out how many runs he should score in his next innings to achieve an average of 32 runs.
Solution:
To find out how many runs the cricketer should score in his next innings, we can use the formula for average:
Average = (Total Runs) / (Total Innings)
Let's assume the total runs scored by the cricketer in his first 14 innings is "X".
Step 1: Calculate the current total runs:
Total runs = Average * Total Innings
Total runs = 30 * 14
Total runs = 420
Step 2: Calculate the total runs needed for the desired average:
Total runs needed = Desired Average * (Total Innings + 1)
Total runs needed = 32 * 15
Total runs needed = 480
Step 3: Calculate the runs needed in the next innings:
Runs needed in the next innings = Total runs needed - Total runs
Runs needed in the next innings = 480 - 420
Runs needed in the next innings = 60
Therefore, the cricketer should score 60 runs in his next innings to achieve an average of 32 runs.
Answer:
Option B) 60
- The cricketer has played 14 innings and has an average of 30 runs.
- We need to find out how many runs he should score in his next innings to achieve an average of 32 runs.
Solution:
To find out how many runs the cricketer should score in his next innings, we can use the formula for average:
Average = (Total Runs) / (Total Innings)
Let's assume the total runs scored by the cricketer in his first 14 innings is "X".
Step 1: Calculate the current total runs:
Total runs = Average * Total Innings
Total runs = 30 * 14
Total runs = 420
Step 2: Calculate the total runs needed for the desired average:
Total runs needed = Desired Average * (Total Innings + 1)
Total runs needed = 32 * 15
Total runs needed = 480
Step 3: Calculate the runs needed in the next innings:
Runs needed in the next innings = Total runs needed - Total runs
Runs needed in the next innings = 480 - 420
Runs needed in the next innings = 60
Therefore, the cricketer should score 60 runs in his next innings to achieve an average of 32 runs.
Answer:
Option B) 60
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