Data Sufficiency

How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo? (1) Of the 60 cars sold, 20 had a stereo but not power windows. (2) Of the 60 cars sold, 30 had both power windows and a stereo.

Every member of a certain club volunteers to contribute equally to the purchase of a $60 gift certificate. How many members does the club have? (1) Each member's contribution is to be $4. (2) If 5 club members fail to contribute, the share of each contributing member will increase by $2.

What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price? (1) x = 50 (2) Full-price tickets sold for $20 each.

When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result? (1) The player tossed the coin 24 times. (2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building? (1) Each step is 3/4 foot high. (2) Each step is 1 foot wide.

What is the value of integer n? (1) n(n+1) =6 (2) 2^(2n) = 16

Is rst = 1 ? (1) rs = 1 (2) st = 1

In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees? (1) Exactly 100 of the employees are college graduates. (2) Of the employees 40 years old or less, 25 percent have master's degrees.

What percent of the drama club members enrolled at a certain school are female students? (1) Of the female students enrolled at the school, 40 percent are members of the drama club. (2) Of the male students enrolled at the school, 25 percent are members of the drama club.

The table above shows the number of students in a certain high school class who are boys and the number of students in the class who are studying biology. What is the total number of students in the class? (1) Of the boys in the class, 15 are studying biology. (2) The number of girls in the class is twice the number of students in the class who are NOT studying biology.

Is n an integer? (1) n 2 n 2 is an integer (2) √ n n √ is an integer

What is the value of n in the equation: - 25 + 19 + n = s ? (1) s = 2 (2) n/s = 4

If arc PQR above is a semicircle, what is the length of diameter PR ? (1) a = 4 (2) b = 1

In the figure above, what is the value of x + y ? (1) x = 70 (2) ABC and ADC are both isosceles triangles

What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price? (1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. (2) The full price of a ticket was $25.

While on a straight road, Car X and Car Y are traveling at different constant rates. If Car X is now 1 mile ahead of Car Y, how many minutes from now will Car X be 2 miles ahead of Car Y ? (1) Car X is traveling at 50 miles per hour and Car Y is traveling at 40 miles per hour. (2) Three minutes ago Car X was 1/2 mile ahead of Car Y.

What is the average (arithmetic mean) of j and k ? (1) The average (arithmetic mean) of j + 2 and k + 4 is 11. (2) The average (arithmetic mean) of j, k, and 14 is 10.

In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish? (1) Of the 300 students, 60 do not study Spanish. (2) A total of 240 of the students study Spanish.

Machines X and Y produced identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of a production lot; then Machine Y, operating alone for 3 hours, filled the rest of this lot. How many hours would it have taken Machine X operating alone to fill the entire production lot? (1) Machine X produced 30 bottles per minute. (2) Machine X produced twice as many bottles in 4 hours as Machine Y produced in 3 hours.

The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ? (1) The price of the Model K mixer was $102.40 more in 1989 than in 1970. (2) The price of the Model K mixer was $142.40 in 1989.