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}}}?