# Q30 the membership of a committee consists of 3

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Q30: The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers? A. 2/3 B. 1/3 C. 2/9 D. 1/12 E. 1/24 Answer: ------------------------------------------------------------------------------------------------------- Q31: In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid? 9

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------------------------------------------------------------------------------------------------------------ Q32: If S is a set of ten consecutive integers, is the integer 5 in S? (1) The integer –3 is in S. (2) The integer 4 is in S. ------------------------------------------------------------------------------------------------------------ Q33: A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible ? A. 5 B. 6 C. 9 D. 24 E. 36 Answer: ------------------------------------------------------------------------------------------------------------ Q34: If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k? (1) k is parallel to the line with equation y = (1-m)x + b +1. (2) k intersects the line with equation y = 2x + 3 at the point (2, 7). ------------------------------------------------------------------------------------------------------------ Q35: In June 1989, what was the ratio of the number of sales transactions made by Salesperson X to the number of sales transactions made by Salesperson Y? 10
(1)In June 1989, Salesperson X made 50 percent more sales transactions than Salesperson Y did in May 1989. (2)In June 1989, Salesperson Y made 25 percent more sales transactions than in May 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: ------------------------------------------------------------------------------------------------------------
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