math.30

# Q14 a certain computer program generates a sequence

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Q14: A certain computer program generates a sequence of numbers a 1, a 2 , … , an such that a 1 = a 2 = 1 and a k = a k-1 + 2 a k-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a 7 = ? A. 32 B. 43 C. 64 D. 100 E. 128 Answer: ---------------------------------------------------------------------------------------------------------------------- Q15: At a certain bookstore, the regular price of each book is 20 percent less than its list price. If during a sale the price of each book at the store was 15 percent less than its regular price, then the price of a book during the sale was what percent less than its list price? ---------------------------------------------------------------------------------------------------------------------- Q16: What is the value of the ratio of x to y 2 ? (1) The ratio of x 2 to y is 5/3. (2) The ratio of x to 1 is 5/3. ---------------------------------------------------------------------------------------------------------------------- Q17: Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?

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---------------------------------------------------------------------------------------------------------------------- Q18: If k is a positive integer, is k the square of an integer? (1) k is divisible by 4. (2) k is divisible by exactly 4 different prime numbers. 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: ---------------------------------------------------------------------------------------------------------------------- Q19: If n is positive, which of the following is equal to 1 / {√(n+1) -√n}? ---------------------------------------------------------------------------------------------------------------------- Q20: Bob, Mia, and Lou each own a number of shares of stock in a company. How many shares does Lou own? (1) Bob and Mia together own a total of 800 shares. (2) Bob and Lou together own a total of 500 shares. ----------------------------------------------------------------------------------------------------------------------
• Spring '12
• Krugers
• Natural number, car sales, Lou own

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