If Peter spends $460 on three pairs of shoes, how much did the least expansive shoes cost? (1) The ratio between the most expansive shoes to the least expansive shoes is 3 to 1. (2) The ratio between the least expansive shoes to all the other ones is 1 to 5. (a) Statement (1) BY [...]

In a certain direct mail center, each of x computers addresses y letters every z minutes. If every computer works without interruption, how many hours are required for the center to address 100,000 letters? (A) l00,000z/60xy (B) 100,000x/60yz (C) 100,000xy/60z (D) 60xy/100,000z (E) 60y/10,000xz

If a piece of wire is cut into three pieces of unequal lengths, what is the length of the longest of the pieces? (1) The combined length of the shorter two pieces is 36 feet. (2) The combined length of the longer two pieces is 40 feet. A if statement (1) BY ITSELF is sufficient [...]

If sales tax equal to 5 percent of the selling price of an item was collected by a store owner, what was the selling price of the item? (1) The selling price of the item plus the sales tax totaled $136.50. (2) The selling price of the item was 200 percent of the $65 cost [...]

In the xy-plane, the line with equation ax + by + c = 0, where abc ? 0, has slope 2/3 . What is the value of b? (1) a = 4 (2) c = ?6 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, [...]

(1) n + 0.001 > 3 (2) n + 0.0001 < 3 A if statement (1) BY ITSELF is sufficient to answer the question but statement (2) is not. B if statement (2) BY ITSELF is sufficient to answer the question but statement (1) is not. C if both statements (1) and (2) when taken [...]

Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other’s point of departure. The two trains passed each other after traveling for 2 hours. When the two [...]

A certain list consists of 3 different numbers) Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers? (1) The range of the 3 numbers is equal to twice the difference between the greatest number and the median) (2) The sum of the 3 numbers is equal to 3 [...]

Z=123^4-123^3+123^2-123, what is the remainder when Z is divided by 122. A) 0 B) 1 C) 2 D) 3 E) 4

If r, s, and w are positive numbers such that w = 60r + 80s and r + s = 1, is w < 70? (1) r > 0.5 (2) r > s A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) [...]

If the average size of 3 accounts is $1 million, is the smallest account less than $500,000? 1. The largest account is $1.3 million. 2. One of the accounts is $0.7 million. A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked. B. Statement 2 alone is [...]

If x is a positive integer, is the remainder 0 when 3x + 1 is divided by 10? (1)      x = 4n + 2, where n is a positive integer. (2)      x > 4 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, [...]

For a recent play performance, the ticket prices were $25 per adult and $15 per child.  A total of 500 tickets were sold for the performance.  How many of the tickets sold were for adults? (1)   Revenue from ticket sales for this performance totaled $10,500. (2)   The average (arithmetic mean) price per ticket [...]

Pipe X fills a swimming pool to its capacity in 36 hours. If Pipe X and Pipe Y each supply water independently of the other, how many hours will it take Pipe X and Pipe Y together to fill the swimming pool to capacity? (1) The capacity of the swimming pool is 24,000 gallons. (2) [...]