The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles? (A) 15 (B) 20 (C) 25 (D) 30 (E) […]

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ? (1) 5x + 1 = 3 + 2x (2) 0 < x < 1 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ? Read the Full Article »

If x and y are positive integers such that x = 8y + 12, what is the greatest common divisor of x and y?

If x and y are positive integers such that x = 8y + 12, what is the greatest common divisor of x and y? (1) x = 12u, where u is an integer (2) y = 12z, where z is an integer A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

If x and y are positive integers such that x = 8y + 12, what is the greatest common divisor of x and y? Read the Full Article »

A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?

A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be

When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?

When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters? A. 10/9 n B. 4/3 n C. 3/2 n D. 9/4 n E. 7/3n Correct Answer: D Full

When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters? Read the Full Article »

Andrew Geller

The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length ℓ and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?

If x and y are positive integers such that x = 8y + 12, what is the greatest common divisor of x and y?

When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?

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