Quick quiz on Quantitative Ability

In the MBA Programme of a B - School, there are two sections A and B. 1/4^th of the students in Section A and 4/9^th of the students in section B are girls. If two students are chosen at random, one each from section A and Section B as class representative, the probability that exactly one of the students chosen is a girl, is:

A lader just reaches a window that is 8 metres high above the ground on one side of the street. Keeping one end of the ladder at the same place, the ladder is moved to the other side of the street so as to reach a 12 metre high window. If the ladder is 13 metres long, what is the width of the street?

From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?

A square, whose side is 2 meters, has its comers cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in meters is:

Amar went for a holiday to his friend's place. They together either went for yoga in the morning or played tennis in the evening. However, they either went for the yoga in the morning or played tennis, but not both. 14 mornings and 24 evenings, they both stayed home and they both went out together for 22 days. How many days did Amar stay at his friend's place?