MATH.14

# Q22 what is the value of x y in the figure above 1 w

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Q22: What is the value of x + y in the figure above? (1) w = 95 (2) z = 125 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. 7 z º y º w º x º

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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: ------------------------------------------------------------------------------------------------------------ Q23: The age of the Earth is approximately 1.3 × 10 17 seconds, and one year is approximately 3.2 × 10 7 seconds. Which of the following is closest to the age of the Earth in years? ------------------------------------------------------------------------------------------------------------ Q24: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project? ------------------------------------------------------------------------------------------------------------ Q25: If the sequence x 1 , x 2, x 3, …, x n , … is such that x 1 = 3 and x n +1 = 2 x n – 1 for n ≥ 1, then x 20 x 19 = ------------------------------------------------------------------------------------------------------------ Q26: If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k ? (1) The tens digit of k + 9 is 3. 8
(2) The tens digit of k + 4 is 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: ------------------------------------------------------------------------------------------------------------ Q27: 2 + 2 × 3 + 3 × 4 = ------------------------------------------------------------------------------------------------------------ Q28: 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? ------------------------------------------------------------------------------------------------------------ Q29: If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be ------------------------------------------------------------------------------------------------------------ Q30: 9

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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: ------------------------------------------------------------------------------------------------------------
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• Spring '12
• Krugers
• E. Statements

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