How many triples of positive integers are there such that
(A)
(B)
(C)
(D)
(E)
is a lottery in which three numbers are drawn from a larger pool of numbers through with the order in which they are drawn irrelevant. If you want the odds of hitting the jackpot to be between and which of the following numbers is eligible for
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
If he does not trust me, he will not see me again.
If he does not see me again, I cannot work for him any more.
If I cannot work for him any more, I will have to look for another job.
Given the above statements, which of the following statements must be true?
(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II and III
John leaves Chicago bound for New York at a.m. He drives at an average speed of miles per hour and arrives at a rest area to take a breakfast for half an hour. He leaves the rest area at a.m. and drives miles before taking one-hour break at another rest area. At a.m. John leaves the second area and drives the remaining miles straight on, taking only a -minute break at the third rest area, until he arrives at New York at p.m. What is John's average speed between Chicago and the second rest area (including the first rest time where is speed is miles per hour in the calculation)?
(A)
(B)
(C)
(D)
(E)
In the figure above, circle is tangent to both the and axes. If is a point on the circle, which of the following points is NOT on circle
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II, and III