Some of the students enrolled at College T are part-time students and the rest are full-time students. By what percent did the number of full-time students enrolled at College T increase from the fall of 1999 to the fall of 2000 ?

(1) There were 50 more full-time students enrolled at College T in the fall of 2000 than in the fall of 1999.

(2) The total number of students enrolled at College T increased by 5 percent from the fall of 1999 to the fall of 2000.

If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y – x – w ?

A pair of shoes is on sale for $60.  If this price is 20 percent less than the regular price of the shoes, what is the regular price of the shoes?

Last Thursday, John assembled chairs at a rate of 3 chairs per hour for part of the day and Larry assembled no chairs. Last Friday, Larry assembled chairs at a rate of 4 chairs per hour for part of the day and John assembled no chairs. If John and Larry assembled chairs for a total of 7 hours during these two days, how many chairs did John assemble last Thursday?

(1) During these two days, John and Larry assembled a total of 25 chairs.

(2) During these two days, Larry assembled more chairs than John did.

The sale price of a certain jacket was 15 percent less than its original price, and the sale price of a certain shirt was 10 percent less than its original price. How much greater was the original price of the jacket than the original price of the shirt?

(1) The sale price of the jacket was $83 greater than the sale price of the shirt.

(2) The original price of the jacket was $140.

Which of the following lists the number of points at which a circle can intersect a triangle?

A fast-food company plans to build 4 new restaurants.  If there are 12 sites that satisfy the company’s criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the order of selection does not matter?

A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

(1) The distance between point P and point X is 4.5.

(2) The distance between point X and point Y is 9.

If mv < pv < 0, is v > 0 ?

(1) m < p

(2) m < 0

If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be

A manufacturer produced x percent more video cameras in 1994 than in 1993 and y percent more video cameras in 1995
than in 1994. If the manufacturer produced 1,000 video cameras in 1993, how many video cameras did the manufacturer
produce in 1995?

(1) xy = 20

(2) x + y + xy/100 = 9.2

A certain business produced x rakes each month from November through February and shipped 0.5x rakes at the beginning of each month from March through October.  The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped.  In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?

A college admissions officer predicts that 20 percent of the students who are accepted will not attend the college.  According to this prediction, how many students should be accepted to achieve a planned enrollment of x students?

Juan bought some paperback books that cost $8 each and some hardcover books that cost $25 each. If Juan bought more than 10 paperback books, how many hardcover books did he buy?

(1) The total cost of the hardcover books that Juan bought was at least $150.

(2) The total cost of all the books that Juan bought was less than $260.

Each of the 105 students in a certain club is either a freshman, a sophomore, or a junior. How many of the students in the club are sophomores?

(1) The ratio of the number of freshmen to the number of sophomores is 1 to 2.

(2) The ratio of the number of freshmen to the number of juniors is 1 to 4.

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of
the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?

(1) y > 0.15

(2) C ≥ 7.30

An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission.  A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine.  How many combinations of the five options listed does the manufacturer offer for its station wagon?

If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.

(2) k is divisible by exactly four different prime numbers.

If x, y, and z are integers, is x + y + 2z even?

(1) x + z is even.

(2) y + z is even.

If n and p are integers, is p > 0 ?

(1) n + 1 > 0

(2) np > 0