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nts 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: Q25: A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible? 5 6 9 24 36 Answer: Q26: Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets? 4 6 8 10 12 Answer: Q27: If n = 811 – 8, what is the units digit of n? 0 1 4 6 8 Answer: Q28: For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2. What is the sum of all the even integers between 99 and 301? 10,100 20,200 22,650 40,200 45,150 Answer: Q29: June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.) Sunday Monday Tuesday Wednesday Thursday Answer: Q30: Joanna bought only $ stamps and $ stamps. How many $ stamps did she buy? (1) She bought $ worth of stamps. (2) She bought an equal number of $ stamps and $ stamps. 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: Q31: A positive integer n is said to be “primesaturated” if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest twodigit primesaturated integer? 99 98 97 96 95 Answer: Q32: For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person? (1) The daily cost per person for 4 people sharing the cost of a room equally is $45. (2) The daily cost per person for 2 people sharing the cost of a room equally is $25 more than the corresponding cost for 4 people. 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: Q33: Is xy x/y? (1) xy 0 (2) y 0 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: Q34: The function f is defined by f(x) = 1/x for all nonzero numbers x. If f(a) = 1/2 and f(ab) = 1/6, then b = 3 1/3 1/3 3 –12 Answer: Q35: What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. 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: Q36: Each signal that a certain ship can make is prised of 3 different flags hanging vertically in a particular order. How many unique signals can be made by using 4 different flags? 10 12 20 24 36 Answer: Q37: A jar