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Q14 if 4 x x x 3 x 2 which of the following is a

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Q14: If 4 x < x < x 3 < x 2 , which of the following is a possible value of x ? A. –2 B. – 2 3 C. –1 D. – 2 1 E. 0 Answer: ------------------------------------------------------------------------------------------------------------ Q15: What was the range of the selling prices of the 30 wallets sold by a certain store yesterday? (1) 3 1 of the wallets had a selling price of $24 each. (2)The lowest selling price of the wallets was 3 1 the highest selling price of the wallets. 5
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------------------------------------------------------------------------------------------------------------ Q16: On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip? (1)2 x + 3 y = 280 (2) y = x + 10 ------------------------------------------------------------------------------------------------------------ Q17: In a box of 12 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective? 1 2 6 9 3 ------------------------------------------------------------------------------------------------------------ Q18: A scientist recorded the number of eggs in each of 10 birds’ nests. What was the standard deviation of the numbers of eggs in the 10 nests? (1) The average (arithmetic mean) number of eggs for the 10 nests was 4. (2) Each of the 10 nests contained the same number of eggs. 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: 6
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------------------------------------------------------------------------------------------------------------ Q19: If p , r , s , and t are nonzero integers, is r p = t s ? (1) s = 3 p and t = 3 r . (2) 3 p = 2 r and 3 s = 2 t . ------------------------------------------------------------------------------------------------------------ Q20: If a 1 = 1 and a n + 1 = 1 + n a 1 for all n ≥ 1, what is the value of a 5 ? 3 5 8 5 8 ------------------------------------------------------------------------------------------------------------
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