In the following figure, ^@ AD = AB, ^@ ^@ \angle DAB = \angle DCB = \angle AEC = 90^\circ ^@ and ^@ AE = 8 \space cm. ^@ Find the area of the quadrilateral ^@ ABCD. ^@
A room that is 24.8 m wide and 31 m in length is to be completely carpeted with a carpet that is 0.31 m wide. What length of the carpet is needed (in m)?
The graph shows the temperature forecast and the actual temperature of a city for ten days. Find the maximum deviation of actual temperature from the forecast.
of the principal. If the numbers representing the rate of interest (in percent) and time (in years) be equal, then what is the time, for which the principal is lent out?
A shopkeeper mixes two variants of sugar in the ratio 1:3. The first variant costs 12 per kg, while the other costs 8 per kg. If the mixed sugar is sold at the price of 6.3 per kg then find the profit/loss percent incurred by shopkeeper.
invested ^@ 5000 ^@ in mutual funds. He is being offered ^@40 \%^@ interest per annum compounded annually. If takes out all his money from the funds at the end of ^@1^@ year and ^@6^@ months. Find the amount of interest received by him.
There are 37 employees in an organization working in three shifts. The first group of 9 employees work from 09:00 AM to 11:00 AM. The second group of 9 employees work from 10:00 AM to 01:00 PM. The third group of 19 employees work from 11:00 AM to 01:00 PM. If there are only 8 computers available, find the time during which the computers are likely to be used the most?
There are 195 boys and 299 girls students in a school. Principal wants to divide them in section such that a section can have only boys or only girls. If all sections should have same number of students, and principal wants to have as fewer section as possible find the number of sections in the school.