R is list of 15 consecutive integers, and T is a list of 21 consecutive integers. The median of the integers in list R is equal to the least integer in list. Combined lists are combined into one th of 36 integers, how many different integers are on the combined list?
As, R contains 15 consecutive integers, then list of R may be:
R
Here, R = Median
Again, As T contains 21 consecutive integers, then list of T may be
Here, As the median of the integers in list R is equal to the least integer in list T (As R = R ).
Now, if the two lists are combined into one list of 36
Integers, the number of different integers are on the
Combined list are = 36-8 (As, R, R + 1, R + 2, R + 3, R + 4, R + 5, R + 6 ,R+ are same numbers)
A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver and white cars. During the next month, 70 percent. of the black cars, 80 percent of the blue cars, 30 percent of the silver cars and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month?
Let, the number of total cars is 60
Whereas, the number of black cars is 30
And the number of blue cars is 10
And the number of silver cars is 10
And the number of white cars is 10
∴Total car initially = 30 + 10 + 10 + 10 = 60
During the next month, Black cars sold 70% of 30=21
∴Blue cars sold 80% of 10=8 ∴Silver cars sold 30% of 10=3
∴White cars sold 40% of 10 = 4 ∴The number of sold cars = 21+8+3+4=36
∴The percentage of cars in the shipment were sold during that month=(3660×100)%=60%
Answer: 60%
The graph above shows the distribution of three different flavors of hard candies-cherry, lemon and lime - in a candy jar. If all the lemon candies are removed and no other candies are added or removed, what fraction of the remaining candies in the jar will be lime candies?
If the lemon candies are removed,
Then 85% of the original number of candies will remain.
Among them, the fraction of lime candies will be=2585=517
Answer: 517
An employee's annual salary was increased $15,000. If her new annual salary now equals $90,000 what was the percent increase?
Here, new annual salary = $90,000
Salary increase=$15
∴Original salary=$90000-$15,000=$75,000
∴Percentage increase=($15000$75000×100)%=20%