math.29

# Q8 s is a set of points in the plane how many

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Q8: S is a set of points in the plane. How many distinct triangles can be drawn that have three of the points in S as vertices? (1) The number of distinct points in S is 5. (2) No three of the points in S are collinear. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: ------------------------------------------------------------------------------------------------------------ Q9: A total of 100 customers purchased books at a certain bookstore last week. If these customers purchased a total of 200 books, how many of the customers purchased only 1 book each? (1)None of the customers purchased more than 3 books. (2)20 of the customers purchased only 2 books each. ------------------------------------------------------------------------------------------------------------ Q10: 3

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C B D A E In the figure, AB = AE = 8, BC = CD = 13, and DE = 2. What is the area of region ABCDE ? ------------------------------------------------------------------------------------------------------------ Q11: A certain business produced x rakes each month form November through February and shipped 2 x rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of \$0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x , what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October? ------------------------------------------------------------------------------------------------------------ Q12: If the integer k is a multiple of 3, which of the following is also a multiple of 3 ? A. k + 2 B. 2 k + 8 C. 3 k + 5 D. 4 k + 4 E. 5 k + 12 Answer: 4
------------------------------------------------------------------------------------------------------------ Q13: For any positive integer x , the 2-height of x is defined to be the greatest nonnegative integer n such that 2 n is a factor of x . If k and m are positive integers, is the 2-height of k greater than the 2-height of m ? (1) k > m (2) m k is an even integer. ------------------------------------------------------------------------------------------------------------

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