Kevin, Leo, and Max each received a monetary award for their work on project X. If the total of the 3 awards was $705, was the average (arithmetic mean) of the 3 awards equal to the median of the 3 awards?
(1) Kevin's award was $235.
(2) Leo's award was S70 greater than Max's award.
The only prime factors of the positive integer n are 2,3, and 5. What te the value of n ?
If x is the median of a certain set of consecutive positive integers, which of the following must be true?
I. x Is positive.
II. x is even.
III. x is an integer.
If x, y, and z are integers greater than 1, what is the value of x + y + z?
(1)
xyz = 154
(2)
x – y – z = 2
Is x2– X positive?
Of the coins in a certain collection, 30 percent were issued more than ten years ago and 45 percent are foreign. Of the foreign coins, 20 percent were issued more than ten
years ago. If there are 1,500 coins in the collection, how many are foreign coins that were issued ten years ago or less?
A region in a plane is said to be convex if, for every two points in the region, the line segment joining the two points is completely contained in the region. If a sector of a circle has a central angle with degree measure m > 0, which of the following determines the set of all values of m (less than 360) for which the sector is convex?
As per following figure below:
What is the best answer
A)
B)
C)
D)
E)
What is the value of x?
(1)
|x| – 10 = –2
(2)
|x – 10| = 2
