# 1 a 4 2 c 6 a statement 1 alone is sufficient but

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(1) a = 4 (2) c = −6 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. 8

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E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: ------------------------------------------------------------------------------------------------------------ Q27: The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid \$19. (2)If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid \$18. 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: ------------------------------------------------------------------------------------------------------------ Q28: This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r , what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year? A. 2 1 + r B. 2 2 1 + r C. 2 3 1 + r D. 3 1 + r E. 3 2 1 + r Answer: ------------------------------------------------------------------------------------------------------------ Q29: Leo can buy a certain computer for p 1 dollars in State A , where the sales tax is t 1 percent, or he can buy the same computer for p 2 dollars in State B , where the sales tax is t 2 percent. Is the total cost of the computer greater in State A than in State B ? (1) t 1 > t 2 (2) p 1 t 1 > p 2 t 2 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. 9
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: ------------------------------------------------------------------------------------------------------------ Q30: If x < 0 and 0 < y < 1, which of the following has the greatest value? A. x 2 B. ( xy ) 2 C. ( y x ) 2 D. y x 2 E. x 2 y Answer: ------------------------------------------------------------------------------------------------------------ Q31: Three printing presses, R , S , and T , working together at their respective constant rates, can do a certain printing job in 4 hours. S and T , working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take R , working alone at its constant rate, to do the same job? A. 8 B. 10 C. 12 D. 15 E. 20 Answer: ------------------------------------------------------------------------------------------------------------ Q32: Is x an odd integer? (1) x + 3 is an even integer. (2) 3 x is an odd integer. 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.

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