Each of the students in a certain class received a single grade of P, F, or I. What percent of the students in the class were females?

(1) Of those who received a P, 40 percent were females.
(2) Of those who received either an F or I, 80 percent were males.

Is k positive?

(1) k is between -2 and 3 on the number line.
(2) k is between 1 and 2 on the number line.

If p is a prime number greater than 2, what is the value of p ?

(1) There are a total of 100 prime numbers between 1 and p + 1.
(2) There are a total of p prime numbers between 1 and 3,912.

If u, v, and w are integers, is u > 0 ?

(1) u = v² + 1
(2) u = w⁴ + 1

If x is a negative number, what is the value of x ?

(1) x² = 1
(2) x² + 3x + 2 = 0

If the terms of a sequence are t₁, t₂, t₃, . . . , t_n, what is the value of n ?

(1) The sum of the n terms is 3,124.
(2) The average (arithmetic mean) of the n terms is 4.

For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p ?

(1) A customer who buys 2 loaves is charged 10 percent less per loaf than a customer who buys a single loaf.
(2) A customer who buys 6 loaves of bread is charged 10 dollars.

If n is an integer between 10 and 99, is n < 80 ?

(1) The sum of the two digits of n is a prime number.
(2) Each of the two digits of n is a prime number.

Is the integer k divisible by 4 ?

(1) 8k is divisible by 16.
(2) 9k is divisible by 12.

Is x less than 20 ?

(1) The sum of x and y is less than 20.
(2) y is less than 20.