If the sum of three different numbers is 54, what is the largest number?

(1) The largest number is twice the smallest number.
(2) The sum of the two smaller numbers is 30.

What is the value of 5x² + 4x - 1 ?

(1) x(x + 2) = 0

(2) x = 0

If x and y are integers greater than 1, is x a multiple of y ?

(1) 3y² + 7y = x.

(2) x² – x is a multiple of y.

What is the value of y ?

(1) y is an odd integer between 28 and 34.
(2) 31 < y < 36

If the integer n is greater than 1, is n equal to 2 ?

(1) n has exactly two positive factors.
(2) The difference of any two distinct positive factors of n is odd.

Is the integer r divisible by 3 ?

(1) r is the product of 4 consecutive positive integers.
(2) r < 25

What is the remainder when the positive integer n is divided by 6 ?

(1) n is a multiple of 5.
(2) n is a multiple of 12.

On Jane's credit card account, the average daily balance for a 30-day billing cycle is the average (arithmetic mean) of the daily balances at the end of each of the 30 days. At the beginning of a certain 30-day billing cycle, Jane's credit card account had a balance of $600. Jane made a payment of $300 on the account during the billing cycle. If no other amounts were added to or subtracted from the account during the billing cycle, what was the average daily balance on Jane's account for the billing cycle?

(1) Jane's payment was credited on the 21st day of the billing cycle.
(2) The average daily balance through the 25th day of the billing cycle was $540.

What is the retail price of a certain calculator?

(1) The retail price of the calculator is $2.00 more than the wholesale price.
(2) The retail price of the calculator is 50 percent more than the $4.00 wholesale price.

What is the greatest common divisor of positive integers m and n ?

(1) m is a prime number.
(2) 2n = 7m