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. [...]
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 [...]
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 [...]
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. [...]
By what percent has the price of an overcoat been reduced? (1) The original price was $380. (2) The original price was $50 more than the reduced price.
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 [...]
Committee member W wants to schedule a one-hour meeting on Thursday for himself and three other committee members, X,Y, and Z, Is there a one-hour period on Thursday that is open for all four members? (1) On Thursday W and X have an open period from 9:00 a.m. to 12:00 noon. (2) On Thursday Y [...]
If x and y are nonzero integers, is x/y an integer? (1) x is the product of 2 and some other integer. (2) There is only one pair of positive integers whose product equals y.
Is the perimeter of Square S greater than the perimeter of equilateral triangle T? (1) The ratio of the length of a side of S to the length of a side of T is 4:5. (2) The sum of the lengths of a side of S and a side of T is 18. A) Statement [...]
A total of 9 women and 12 men reside in the 21 apartments that are in a certain apartment building, one person to each apartment. If a poll taker is to select one of the apartments at random, what is the probability that the resident of the apartment selected will be a woman who is [...]
If m and n are consecutive positive integers, is m greater than n? (1) m – 1 and n +1 are consecutive positive integers. (2) m is an even integer. 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 [...]
A shirt and a pair of gloves cost total of $41.70. How much does the pair of gloves cost? (1) The shirt costs twice as much as the gloves. (2) The shirt costs $27.80. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement [...]
If x and y are positive, what’s the value of x ? (1) x = 3.927y (2) y = 2.279 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 [...]
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