If x^2 + 3x + c = (x + a)(x + b) for all x, what is the value of c ? (1) a = 1 (2) b = 2 A ) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient B ) Statement (2) ALONE is sufficient, but statement (1) alone [...]

If x and y are positive, what is the value of x – y? (1) (x^2 – y^2) / (x + y) = 4 (2) x + y = 7 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 [...]

Lists S and T consist of the same number of positive integers. Is the median of the integers in S greater than the average (arithmetic mean) of the integers in T? (1) The integers in S are consecutive even integers, and the integers in T are consecutive odd integers. (2) The sum of the integers [...]

N and R are integers. If N is divisible by 10^R, but cannot be divisible by 10^(R+1), R= ? 1) N is divisible by 2^5, but cannot be divisible by 2^6. 1) N is divisible by 5^6, but cannot be divisible by 5^7.

When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank’s capacity. What was the tank’s capacity? (1) Before the 200 gallons were removed, the volume of oil in the tank was 1/2 of the tank’s capacity. (2) After the 200 gallons were [...]

If a grocery shopper received $0.25 off the original price of a certain product by using a coupon, what was the original price of the product? (1) The shopper received a 20 percent discount by using the coupon. (2) The original price was 25 percent higher than the price the shopper paid by using the [...]

If x is not equal to 0, is |x| less than 1? (1) x/|x| < x (2) |x| > x A) Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked. B) Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question [...]

Is x > k? (1) 2x > 2k = 4 (2) 9x > 3k = 81 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) [...]

If x= 3y , is x^2 > y^2 ? 1 ) y+x > y-x 2) x^2 = 9y^2 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 [...]

If x and y are positive, is x^3 > y? (1) sqrtx > y (2) x > y 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 [...]

The weights of all dishes of type X are exactly the same, and the weights of all dishes of type Y are exactly the same) Is the weight of 1 dish of type X less than the weight of 1 dish of type Y ? (1) The total weight of 3 dishes of type X [...]

What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y? (1) The average height of the students in class X is 120 centimeters. (2) The average height of the students in class X and class Y combined is 126 centimeters. A. [...]

If x, y, and z are positive integers such that x is less than y and y is less than z, is x a factor of the odd integer z? (1) x and y are prime numbers, whose sum is a factor of 57. (2) z is a factor of 57. A. Statement 1 alone [...]

If x > 0, is x^2 < x ? (1) 0.1 < x < 0.4 (2) x^3 < x^2 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 [...]