MATH.14

# Q31 three of the four vertices of a rectangle in the

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Q31: Three of the four vertices of a rectangle in the xy -coordinate plane are (-3, 10), (2, 10), and (2, 1). What is the fourth vertex? A. (-3, 1) B. (-3, 2) C. (-2, 10) D. (2, -3) E. (3, 10) Answer: ------------------------------------------------------------------------------------------------------------ Q32: r s t u v w x y z Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r ? (1) v + z = 6 (2) s + t + u + x = 6 ------------------------------------------------------------------------------------------------------------ Q33: 10

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At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders? ------------------------------------------------------------------------------------------------------------ Q34: In the xy -plane, what is the slope of line l ? (1) Line l dose not intersect the line with equation y = 1 - x . (2) Line l intersects the line with equation y = x – 1. ------------------------------------------------------------------------------------------------------------ Q35: Guy’s net income equals his gross income minus his deductions. By what percent did Guy’s net income change on January 1, 1989, when both his gross income and his deductions increased? (1) Guy’s gross income increased by 4 percent on January 1, 1989. (2) Guy’s deductions increased by 15 percent on January 1, 1989. 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: ------------------------------------------------------------------------------------------------------------ Q36: ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ ׀ x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 11
On the number line, the shaded interval is the graph of which of the following

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