GMAT
MATH.15

# A 19000 b 40000 c 100000 d 190000 e 400000 answer q19

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A. 19,000 B. 40,000 C. 100,000 D. 190,000 E. 400,000 Answer: ------------------------------------------------------------------------------------------------------------ Q19: If the product of the digits of the two-digit positive integer n is 2, what is the value of n ? (1) n is odd. (2) n is greater than 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: ------------------------------------------------------------------------------------------------------------ Q20: If the sum of three integers is even, is the product of the three integers a multiple of 4 ? (1) All three integers are equal. (2) All three integers are even. 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: ------------------------------------------------------------------------------------------------------------ Q21: 6

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Martin has worked for the last 30 years. If his average (arithmetic mean) total annual earnings for the first 5 years is \$15,000, what is his average total annual earnings for the last 5 years? (1) Martin’s average total annual earnings for the first 25 years is \$27,000. (2) Martin’s average total annual earnings for the last 25 years is \$34,000. 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: ------------------------------------------------------------------------------------------------------------ Q22: How many 4-digit positive integers are there in which all 4 digits are even? A. 625 B. 600 C. 500 D. 400 E. 256 Answer: ------------------------------------------------------------------------------------------------------------ Q23: If x ≥ 0 and x = 2 16 8 y xy - , then, in terms of y , x = A. – 4 y B. 4 y C. y D. 4 y E. 4 y 2 Answer: ------------------------------------------------------------------------------------------------------------ Q24: Factor Percent of Respondents User-friendly 56% Fast response time 48% Bargain prices 42% The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,200 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is 7
the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?” A. 312 B. 336 C. 360 D. 384 E. 420 Answer: ------------------------------------------------------------------------------------------------------------ Q25: Is k = 2 ? (1) k 2 = 4 (2) k = 2 - 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: ------------------------------------------------------------------------------------------------------------ Q26: y x O P In the figure shown, the circle has center O and radius 50, and point P has coordinates (50,0). If point Q (not shown) is on the circle, what is the length of line segment PQ ?

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