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The integer k is the product of four different prime numbers. If k divided by 10 is a multiple of 11, which of the following could be equal to k divided by 5?
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Three variables, x, y, and z, in a scientific experiment are related by the equation z=$$x^{2}$$y. In the experiment, if the value of x decreases by 40 percent while the value of y increases by 50 percent, what is the percent decrease in the value of z?
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The two circles in the figure above both have center O. The square is inscribed in the larger circle and circumscribed about the smaller circle. If x is the radius of the larger circle, what is the area of the smaller circle, in terms of x?
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If x is an integer, what is the least possible value of $$3^{x}$$+$$3^{-x}$$?
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The figure above represents a semicircular garden that is enclosed by 20 feet of fencing and a straight garden wall. What is the area, in square feet, of the garden?
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If a person is randomly chosen from Country M, approximately what is the probability that the person will have one of the two most common of the eight blood types?
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In region $$R_3$$, for how many of the eight blood types are there fewer than 100,000 people with that blood type?
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Approximately how many people who live in region $$R_4$$ have blood type B-Rh+?
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If the sum of two numbers is 9, what is the greatest possible value of the product of the two numbers?
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In the xy-plane, line segment RS is a side of a square. The coordinates of R are (2, 10) and the coordinates of the midpoint of RS are (7, 12). Which of the following CANNOT be the coordinates of a vertex of the square?
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In the xy-plane, the circle with radius 50 and center (0, 0) passes through which of the following points?
Indicate all such points.
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In the four quarters of 2013, denoted by Q1, Q2, Q3 and Q4, Company C hired the same number of employees in Q2 as in Q1 and twice as many employees in Q3 as in Q2. The number of employees hired by the company in Q4 was greater than the number of hired in Q3; however, the number hired in Q4 was also less than 3 times the number hired in Q3. All of the employees were hired only once. If an employee is to be selected at random from all the employees hired during the four quarters, which of the following values could be the probability that the employee will be one who was hired in Q4?
Indicate all such values.
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