Given a circle, a circumscribed square is one that completely encloses the circle, and an inscribed square is completely enclosed by the circle, as shown below

If the the difference in the areas of the two squares is 49 sq. m., then what is the area of the circle in sq. m.? Assume π =

Two circles with centres O and O′ intersect at two points A and B. A line PQ is drawn parallel to OO′ through A(or B) intersecting the circles at P and Q. Find the ratio PQ:OO′.

6 teams compete in a track competition. If there are 11 events in the competition, no event ends in a tie, and no team wins more than 2 events, what is the minimum possible number of teams that won at least one event?

Train A leaves Tijuana for Zapopan and travels at a constant speed. At the same time train B leaves Zapopan for Tijuana and also travels at a constant speed. Town X is between Tijuana and Zapopan. Tijuana, town X and Zapopan lie on a straight line. Which train has greater speed?

Which of following statements are sufficient to answer the question. I. Train B arrives at town X before train A. II. Town X is farther to Tijuana than Zapopan.

A.

Statement II alone is sufficient to answer the problem.

B.

Statements I and II both are not sufficient

C.

Statement I alone is sufficient to answer the problem.