A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long. If the weight of each piece is proportional to its length, how many meters long is the other piece of wire? A) 8 B) 11 C) 13 D) 17 E) [...]
Four dollar amounts, w, x, y, and z, were invested in a business. Which amount was greatest? 1. y < z < x 2. x was 25 percent of the total of the four investments. Selected Possible Answer A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question [...]
If n and k are positive integers, is n divisible by 6? (1) n = k(k + 1)(k – 1) (2) k > 1 is a multiple of 3. 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. [...]
If y is the smallest positive integer such that 3; 150 multiplied by y is the square of an integer, then y must be A) 2 B) 5 C) 6 D) 7 E) 14
Of the 500 business people surveyed, 78 percent said that they use their laptop computers at home, 65 percent said that they use them in hotels, and 52 percent said that they use them both at home and in hotels. How many of the business people surveyed said that they do not use their laptop [...]
What is the hundreds digit of the integer z? (1) 10z = 93,120 (2) z rounded to the nearest hundred is 9,300. 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 [...]
In the xy-plane, does the line with equation y=3x+2 contain the point (r,s)? 1) (3r+2-s)(4r+9-s)=0 2) (4r-6-s)(3r+2-s)=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. [...]
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 [...]
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990, what is the least possible value of n? A) 8 B) 9 C) 10 D) 11 E) 12
The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet? A. 3?x B. 3?[(2x)/3] C. 3?[(3x)/2] D. (2/3) [...]
Three of the four vertices of a rectangle in the xy-coordinate plane are (-3, 10), (2, 10), and (2, 1). What is the fourth vertex? A) (-3, 1) B) (-3, 2) C) (-2, 10) D) (2, -3) E) (3, 10)
A man is known to speak truth 3 out of 4 times. He throws die and reports that it is a 6. The probability that it is actually a 6 is A) 3/4 B) 5/8 C) 2/5 D) 3/5 E) 4/5
What is the ratio of x to y? (1) x is 4 more than twice y. (2) The ratio of 0.5x to 2y is 3 to 5. 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 [...]
What is the standard deviation (SD) of the four numbers p, q, r, s? 1. The sum of p, q, r and s is 24 2. The sum of the squares of p, q, r and s is 224 A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the [...]
the number of ways in which four men and four women can be seated at round table so that no two womwn may be together is ? A) 576 B) 500 C) 144 D) 48 E) 16
p is an integer; n is an integer; and p/n is an integer. Is p/n odd? (1) p is divisible by 4. (2) n is divisible by 4. 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. [...]
Does 2m ? 3n = 0 (1) m ?0 (2) 6m = 9n 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 [...]
If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes? (1) One of the machines produces copies at the constant rate of 250 copies per minute. (2) One of the machines produces copies at twice the constant rate of the other machine. A. Statement (1) [...]
Does 2m – 3n = 0 (1) m ?0 (2) 6m = 9n 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 [...]
If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n? (1) n is the cube of an integer. (2) n is even.
A jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent of the original cost. What was the original cost of the bracelet? (1) After reducing this asking price by 10 percent, the jewelry dealer sold the bracelet at a profit of [...]
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