In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years and 9 months, then the number of girls in the school is
Total age of all the students is average age multiplied by total students.
(11 3/4) * 600 = 7050
Let the total number of girls be A
Then, total number of boys = (600 â€“ A)
Total age of girls and boys = A * 11 and (600 â€“ A) * 12 respectively
so (11* A) + (600 â€“ A) *12 = 7050
=> A = 7200 â€“ 7050 = 150
So Number of girls in school = 150
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The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is 42, then average for last four matches is
Given average of 10 match = 38.9
average of first 6 match = 42
so average of last four match =[(38.9Ã—10)âˆ’(42Ã—6)]/4 =(1216âˆ’750)/4=34.25
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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?
The average age of a group of 30 boys is 12 years. When 2 new boys join them, the average increases by 1/4 year. What is the average age (in years) of the two new boys?
Total of ages of 30 boys = 30 * 12 = 360.
Total of ages of 32 boys = 20 * 12.25 = 392.
Total of ages of 2 new boys = (392 - 360) = 32 years
Average age of 2 new boys = 32/2 years = 16 years
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The average age of a jury of 5 is 40 years. If a member aged 35 resigns and a man aged 25 becomes a member, then the average age of the new jury is:
Total of ages of 5 jury = 40 * 5 = 200
A member resigns then new total age = (200 - 35) = 165
A new member joins so total new age = (165 + 25) = 190
Average age of the new jury is = 190/5 = 38
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A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Total sale for 5 months = Rs.(6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [(6500 x 6)-34009]
= Rs. (39000-34009)
= Rs. 4991.
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The ratio of marks obtained by vinod and Basu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted.
Let Vinod marks be 6x and Basu's is 5x. Therefore, the sum of the marks = 6x + 5x = 11x.
But the sum of the marks is given as 275 = 11x. We get x = 25 therefore, vinod marks is 6x = 150and Basu marks = 5x = 125.
Therefore, the combined average of their marks = (150 + 125) / 2 = 137.5.
If the total mark of the exam is 100 then their combined average of their percentage is 68.75
Therefore, if their combined average of their percentage is 137.5 then the total marks would be
(137.5 / 68.75)*100 = 200.
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I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km.
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