John and Christian both invested money in a bank at 10% annual interest. By how much was Christian's initial investment greater than John's?

(1) After one year, Christian earned $50 more than John.

(2) If the bank had offered 12% interest, then after a year, Christian would have earned $60 more than John.

If , does ?

(1)

(2) and are both positive

If n is positive, what is the value of n?

(1)

(2)

Is a² + b² > 2ab?

(1)

(2) 2ab > 0

Is ?

(1)

(2)

Timmy has only nickels (5-cent coins) and quarters (25-cent coins) in his pocket. How many quarters does he have?

(1) The total value of Timmy's coins is $1.05.

(2) Timmy has more quarters than nickels in his pocket.

If is a positive integer and has a remainder of 3, is divisible by 7?

(1) is divisible by 3

(2)

If xyz ≠ 0, is x⁹y⁴z⁵ > 0?

(1) yz < 0

(2) xz > 0

If a + 3|b| = 50, what are a and b?

(1) 3|b| = a - 20

(2) |b| $+\frac{a}{3}=\frac{50}{3}$

What is the longest possible straight line contained inside a certain cube?

(1) One edge of the cube measures 10 inches

(2) One face of the cube has an area of 100 square inches

Is a² < b?

(1) a² = b²

(2) a³ = b³

If x and y are positive integers, is divisible by 25?

(1) x is a multiple of 30 and y is a multiple of 15

(2) x = y

Is positive?

(1)

(2)

A line contains three distinct points: , , and . Is the length of segment less than ?

(1)

(2)

For two positive integers and , is divisible by ?

(1)

(2) and are both odd

If x = ${100}^{\frac{b}{a}}$, and a ≠ 0, is x an integer?

(1) $\frac{b^6}{a^6}$ is an integer

(2) a − 2b = 0

What is the value of ?

(1)

(2)

If and are positive integers both greater than , is divisible by ?

(1) is a multiple of

(2)