MATH.15

# 1 a 3 b 2 36 1 2 ab 1 6 1 a statement 1 alone is

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(1) a -3 b -2 = 36 -1 (2) ab -1 = 6 -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: ------------------------------------------------------------------------------------------------------------ Q10: If x 2 – 2 < 0, which of the following specifies all the possible values of x ? A. 0 < x < 2 B. 0 < x < 2 C. - 2 < x < 2 D. -2 < x < 0 E. -2 < x < 2 Answer: ------------------------------------------------------------------------------------------------------------ Q11: At the end of each year, the value of a certain antique watch is c percent more than its value one year earlier, where c has the same value each year. If the value of the watch was k dollars on January1, 1992, and m dollars on January 1, 1994, then in terms of m and k , what was the value of the watch, in dollars, on January 1, 1995 ? 3

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A. m + 2 1 ( m k ) B. m + 2 1 ( k k m - ) m C. k m m D. k m 2 2 E. km 2 Answer: ------------------------------------------------------------------------------------------------------------ Q12: If x > 0.9, which of the following could be the value of x ? A. 81 . 0 B. 9 . 0 C. (0.9) 2 D. (0.9)(0.99) E. 1 - 01 . 0 Answer: ------------------------------------------------------------------------------------------------------------ Q13: Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 2 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf? A. 56 B. 57 C. 58 D. 61 E. 63 Answer: ------------------------------------------------------------------------------------------------------------ Q14: Some computers at a certain company are Brand X and the rest are Brand Y . If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y ? (1) There are 80 more Brand X computers than Brand Y computers at the company. (2) There is a total of 880 computers at the company. 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. 4
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: ------------------------------------------------------------------------------------------------------------ Q15: If R = Q P , is R P ? (1) P > 50 (2) 0 < Q ≤ 20 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: ------------------------------------------------------------------------------------------------------------ Q16: 4 3 + 4 3 + 4 3 + 4 3 = A. 4 4 B. 4 6 C. 4 8 D. 4 9 E. 4 12 Answer: ------------------------------------------------------------------------------------------------------------ Q17: R S T 0 The number line shown contains three points R , S , and T , whose coordinates have absolute values r , s , and t , respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R , S, and T ? A. s B. s + t - r C. 3 t s r - - D. 3 t s r + + 5

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E. 3 r t s - + Answer: ------------------------------------------------------------------------------------------------------------ Q18: Departments A , B , and C have 10 employees each, and department D has 20 employees. Departments A , B , C , and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A , B , and C and 2 employees from department D . How many different task forces are possible?

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