Data Sufficiency

What is the value of a - b ? (1) a = b + 4 (2) (a - b)^2 = 16

Is |x| = y - z ? (1) x + y = z (2) x < 0

If y is greater than 110 percent of x, is y greater than 75 ? (1) x > 75 (2) y -x = 10

If rs ≠ 0, is 1/r + 1/s = 4 ? (1) r + s = 4rs (2) r = s

In the fraction x/y, where x and y are positive integers, what is the value of y ? (1) The least common denominator of x/y and 1/3 is 6. (2) x = 1

What were the gross revenues from ticket sales for a certain film during the second week in which it was shown? (1) Gross revenues during the second week were $1.5 million less than during the first week. (2) Gross revenues during the third week were $2.0 million less than during the first week.

What was the amount of money donated to a certain charity? (1) Of the amount donated, 40 percent came from corporate donations. (2) Of the amount donated, $1.5 million came from noncorporate donations.

If y is an integer, is y^3 divisible by 9 ? (1) y is divisible by 4. (2) y is divisible by 6.

Is the integer x divisible by 36 ? (1) x is divisible by 12. (2) x is divisible by 9.

At the beginning of last month, a stationery store had in stock 250 writing pads, which had cost the store $0.75 each. During the same month, the store made only one purchase of writing pads. What was the total amount spent by the store on the writing pads it had in stock at the end of the month? (1) Last month the store purchased 150 writing pads for $0.80 each. (2) Last month the total revenue from the sale of writing pads was $180

In what year was Ellen born? (1) Ellen’s brother Pete, who is 1 1/2 years older than Ellen, was born in 1956. (2) In 1975 Ellen turned 18 years old.

A certain employee is paid $6 per hour for an 8-hour workday. If the employee is paid 3/2 times this rate for time worked in excess of 8 hours during a single day, how many hours did the employee work today? (1) The employee was paid $18 more for hours worked today than for hours worked yesterday. (2) Yesterday the employee worked 8 hours.

Last Friday a certain shop sold 3/4 of the sweaters in its inventory. Each sweater sold for $20. What was the total revenue last Friday from the sale of these sweaters? (1) When the shop opened last Friday, there were 160 sweaters in its inventory. (2) All but 40 sweaters in the shop’s inventory were sold last Friday.

Is 2^x greater than 100? (1) 2 x √ = 8 2 x = 8 (2) 1 2 x < 0.01 1 2 x < 0.01

The circular base of an above-ground swimming pool lies in a level yard and just touches two straight sides of a fence at points A and B, as shown in the figure above. Point C is on the ground where the two sides of the fence meet. How far from the center of the pool's base is point A? (1) The base has area 250 square feet. (2) The center of the base is 20 feet from point C.

How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado? (1) If Betty's average speed for the trip had been 3/2 times as fast, the trip would have taken 2 hours. (2) Betty's average speed for the trip was 50 miles per hour.

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

If r and s are nonzero integers, is r/s an integer ? (1) r - 1 = (s + 1)(s - 1) (2) r - s = 20

Is ( x − 5 ) 2 − − − − − − − √ = 5 − x ( x − 5 ) 2 = 5 − x ? (1) − x | x | > 0 − x | x | > 0 (2) 5 − x > 0 5 − x > 0

In the equation x^2 + bx + 12 = 0, x is a variable and b is a constant. What is the value of b ? (1) x - 3 is a factor of x^2 + bx + 12. (2) 4 is a root of the equation x^2 + bx + 12 = 0.