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The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)
- a)30
- b)50
- c)70
- d)90
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average number of runs scored by Virat Kohli in four matches is 48...
Runs scored by Kohli in first 4 innings = 48*4 = 192
Average of 5 innings is 60, so total runs scored after 5 innings = 60*5 = 300
Hence runs scored by Kohli in fifth inning = 300 – 192 = 108
It is given that in 6th innings he scores 12 runs more than this, so he must score 120 in the sixth inning. Hence total runs scored in 6 innings = 300+120 = 420
Now average of last five innings is 78, so runs scored in last innings = 390
Hence runs scored in first inning = 420 – 390 = 30.
Average of 5 innings is 60, so total runs scored after 5 innings = 60*5 = 300
Hence runs scored by Kohli in fifth inning = 300 – 192 = 108
It is given that in 6th innings he scores 12 runs more than this, so he must score 120 in the sixth inning. Hence total runs scored in 6 innings = 300+120 = 420
Now average of last five innings is 78, so runs scored in last innings = 390
Hence runs scored in first inning = 420 – 390 = 30.
Most Upvoted Answer
The average number of runs scored by Virat Kohli in four matches is 48...
Given:
- Average runs scored by Virat Kohli in four matches = 48
- Average runs scored by Virat Kohli in five matches = 60
- Average of last five innings = 78
- Kohli does not remain not out in any of the innings
To Find: Runs scored by Kohli in his first innings
Solution:
Let the runs scored by Kohli in his first, second, third, fourth, fifth and sixth innings be x, y, z, w, a and b respectively.
Average runs scored by Kohli in four matches = 48
Therefore, total runs scored by Kohli in four matches = 48 * 4 = 192
Also, total runs scored by Kohli in first four innings = x + y + z + w
Average runs scored by Kohli in five matches = 60
Therefore, total runs scored by Kohli in five matches = 60 * 5 = 300
Also, total runs scored by Kohli in first five innings = x + y + z + w + a
We can write an equation from the above information:
x + y + z + w = 192
x + y + z + w + a = 300
Kohli scores 12 runs more in his sixth innings than his fifth innings
Therefore, runs scored by Kohli in his sixth innings = a + 12
Average of last five innings = 78
Therefore, total runs scored by Kohli in last five innings = 78 * 5 = 390
Also, total runs scored by Kohli in his first six innings = x + y + z + w + a + (a + 12) = x + y + z + w + 2a + 12
We can write another equation from the above information:
x + y + z + w + 2a + 12 = 390
Solving the above two equations, we get:
x + y + z + w = 192
x + y + z + w + a = 300
x + y + z + w + 2a + 12 = 390
Subtracting the first equation from the second equation, we get:
a = 108
Substituting the value of a in the second equation, we get:
x + y + z + w = 192
x + y + z + w + 108 = 300
x + y + z + w = 192
Therefore, runs scored by Kohli in his first innings = (x) = (192 - (y + z + w))
We don't have enough information to find the exact value of x, y, z and w. However, we can find the minimum value of x by assuming that y, z and w are all equal to 0 (i.e. Kohli did not score any runs in his second, third and fourth innings).
Therefore, runs scored by Kohli in his first innings = (x) = (192 - (0 + 0 + 0)) = 192
Hence, the correct option is (a) 30.
- Average runs scored by Virat Kohli in four matches = 48
- Average runs scored by Virat Kohli in five matches = 60
- Average of last five innings = 78
- Kohli does not remain not out in any of the innings
To Find: Runs scored by Kohli in his first innings
Solution:
Let the runs scored by Kohli in his first, second, third, fourth, fifth and sixth innings be x, y, z, w, a and b respectively.
Average runs scored by Kohli in four matches = 48
Therefore, total runs scored by Kohli in four matches = 48 * 4 = 192
Also, total runs scored by Kohli in first four innings = x + y + z + w
Average runs scored by Kohli in five matches = 60
Therefore, total runs scored by Kohli in five matches = 60 * 5 = 300
Also, total runs scored by Kohli in first five innings = x + y + z + w + a
We can write an equation from the above information:
x + y + z + w = 192
x + y + z + w + a = 300
Kohli scores 12 runs more in his sixth innings than his fifth innings
Therefore, runs scored by Kohli in his sixth innings = a + 12
Average of last five innings = 78
Therefore, total runs scored by Kohli in last five innings = 78 * 5 = 390
Also, total runs scored by Kohli in his first six innings = x + y + z + w + a + (a + 12) = x + y + z + w + 2a + 12
We can write another equation from the above information:
x + y + z + w + 2a + 12 = 390
Solving the above two equations, we get:
x + y + z + w = 192
x + y + z + w + a = 300
x + y + z + w + 2a + 12 = 390
Subtracting the first equation from the second equation, we get:
a = 108
Substituting the value of a in the second equation, we get:
x + y + z + w = 192
x + y + z + w + 108 = 300
x + y + z + w = 192
Therefore, runs scored by Kohli in his first innings = (x) = (192 - (y + z + w))
We don't have enough information to find the exact value of x, y, z and w. However, we can find the minimum value of x by assuming that y, z and w are all equal to 0 (i.e. Kohli did not score any runs in his second, third and fourth innings).
Therefore, runs scored by Kohli in his first innings = (x) = (192 - (0 + 0 + 0)) = 192
Hence, the correct option is (a) 30.
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Community Answer
The average number of runs scored by Virat Kohli in four matches is 48...
Runs scored by Kohli in first 4 innings = 48*4 = 192
Average of 5 innings is 60, so total runs scored after 5 innings = 60*5 = 300
Hence runs scored by Kohli in fifth inning = 300 – 192 = 108
It is given that in 6th innings he scores 12 runs more than this, so he must score 120 in the sixth inning. Hence total runs scored in 6 innings = 300+120 = 420
Now average of last five innings is 78, so runs scored in last innings = 390
Hence runs scored in first inning = 420 – 390 = 30.
Average of 5 innings is 60, so total runs scored after 5 innings = 60*5 = 300
Hence runs scored by Kohli in fifth inning = 300 – 192 = 108
It is given that in 6th innings he scores 12 runs more than this, so he must score 120 in the sixth inning. Hence total runs scored in 6 innings = 300+120 = 420
Now average of last five innings is 78, so runs scored in last innings = 390
Hence runs scored in first inning = 420 – 390 = 30.
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The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct answer is option 'A'. Can you explain this answer?
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The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct 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 The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct 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 The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct answer is option 'A'. Can you explain this answer?.
The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct 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 The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct 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 The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct answer is option 'A'. Can you explain this answer?.
Solutions for The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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ample number of questions to practice The average number of runs scored by Virat Kohli in four matches is 48. In the fifth match, Kohli scores some runs such that his average now becomes 60. In the 6th innings he scores 12 runs more than his fifth innings and now the average of his last five innings becomes 78. How many runs did he score in his first innings? (He does not remain not out in any of the innings)a)30b)50c)70d)90Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
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