[174] The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his low

For Competitive Exams

The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find out the highest score of the player.

150

174

180

166

Explanation:

Total runs scored by the player in 40 innings = $ 40 \times 50$

Total runs scored by the player in 38 innings after excluding two innings = $ 38 \times 48$

Sum of the scores of the excluded innings = $ 40 \times 50 - 38 \times 48 = 2000 - 1824 = 176$

Given that the scores of the excluded innings differ by 172. Hence lets take

the highest score as x + 172 and lowest score as $x$

Now $x + 172 + x$ = 176

=> 2$x$ = 4

=> $x=\dfrac{4}{2}$ = 2

Highest score = $x$ + 172 = 2 + 172 = 174

Additional Questions

In Aruns opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Aruns weight is greater than 60 kg but less than 70 kg. His mothers view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?	Answer
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?	Answer
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?	Answer
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Find out the average age of the team.	Answer
The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, what is the average for the last four matches?	Answer
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?	Answer
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:	Answer
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?	Answer
A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?	Answer
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find out the highest score of the player.	Answer

Share with Friends