A Trapezoid PQRS has two parallel bases PQ and RS. The diagonals of the Trapezoid intersect at a point O. Suppose that PQ=12,SR=16, and the area of the triangle POS is 48. What is the area of the trapezoid PQRS?
There are few taps and holes in tank. Each tap can fill empty tank in 1 minutes, while each hole can empty a full tank in 2 minutes. If there are 2 taps and 3 holes, how long would it take to fill empty tank?
A bike is traveling with uniform speed in one direction. The following graph shows its position (in km) at two time points. Find its position at 20 minutes.
Sandra picks a three digit number and subtract it from the same number after reversing order of its digits. This difference will always be fully divisible by which of following number?
A shopkeeper sells two qualities of rice at the rates of $12 per kg. and $16.5 per kg, gaining 20% and 10% profit respectively. If he mixes the two variants in the ratio 3:2 and sells the mixture at $14.4 per kg., what is his gain% or loss%?
A survey of 900 boys of a school was conducted and it was found that 90 boys like tea while 810 dislike it. Out of these boys, one boy is selected at random.
What is the probability that the selected boy likes tea?
n is a positive integer. Let's say that {n} denotes the sum of all the positive divisors of n except for n itself. For example, {4} = 1 + 2 = 3 and {8} = 1 + 2 + 4 = 7. What is {{{28}}}?