MATH.15

# 1 the x coordinate of point q is 30 2 the y

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(1) The x -coordinate of point Q is – 30. (2) The y -coordinate of point Q is – 40. 8

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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: ------------------------------------------------------------------------------------------------------------ Q27: The function f is defined by f ( x ) = - x 1 for all nonzero numbers x . If f ( a ) = - 2 1 and f ( ab ) = 6 1 , then b = A. 3 B. 3 1 C. - 3 1 D. -3 E. -12 Answer: ------------------------------------------------------------------------------------------------------------ Q28: A school administrator will assign each student in a group of n students to one of m classrooms. If 3 < m < 13 < n , is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it? (1)It is possible to assign each of 3 n students to one of m classrooms so that each classroom has the same number of students assigned to it. (2)It is possible to assign each of 13 n students to one of m classrooms so that each classroom has the same number of students assigned to it. 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: ------------------------------------------------------------------------------------------------------------ Q29: The toll for crossing a certain bridge is \$0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for \$13.00 and then pay only \$0.30 each crossing during that month. If a particular driver will cross the bridge twice on each 9
of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker? A. 14 B. 15 C. 16 D. 28 E. 29 Answer: ------------------------------------------------------------------------------------------------------------ Q30: Robots X , Y , and Z each assemble components at their respective constant rates. If r x is the ratio of robot X ’s constant rate to robot Z ’s constant rate and r y is the ratio of robot Y ’s constant rate to robot Z ’s constant rate, is robot Z ’s constant rate the greatest of the three? (1) r x < r y (2) r y < 1 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: ------------------------------------------------------------------------------------------------------------ Q31: In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle? A. 4 B. 3 C. 2 D.

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