The sum of the integers in list S is the same as the sum of the integers in list T. Does S contain more integers than T ?

(1) The average (arithmetic mean) of the integers in S is less than the average of the integers in T.
(2) The median of the integers in S is greater than the median of the integers in T.

If N is a positive integer, is the units digit of N equal to zero?

(1) 14 and 35 are factors of N.
(2) N = (2⁵)(3²)(5⁷)(7⁶)

If m, k, x, and y are positive numbers, is mx + ky > kx + my ?

(1) m > k
(2) x > y

Is |x - y| > |x| - |y| ?

(1) y < x
(2) xy < 0

If n and t are positive integers, what is the greatest prime factor of the product nt ?

(1) The greatest common factor of n and t is 5.
(2) The least common multiple of n and t is 105.

If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of aⁿ, what is the value of a ?

(1) aⁿ = 64
(2) n = 6

On the number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?

(1) xyz < 0
(2) xy < 0

If x, y, and z are integers and xy + z is an odd integer, is x an even integer?

(1) xy + xz is an even integer.
(2) y + xz is an odd integer.

Of the 1,400 college teachers surveyed, 42 percent said that they considered engaging in research an essential goal. How many of the college teachers surveyed were women?

(1) In the survey, 36 percent of the men and 50 percent of the women said that they considered engaging in research an essential goal.
(2) In the survey, 288 men said that they considered engaging in research an essential goal.

At a two-day seminar, 90 percent of those registered attended the seminar on the first day. What percent of those registered did not attend the seminar on either day?

(1) A total of 1,000 people registered for the two-day seminar.
(2) Of those registered, 80 percent attended the seminar on the second day.