What is the result when x is rounded to the nearest hundredth?

(1) When x is rounded to the nearest thousandth the result is 0.455.
(2) The thousandths digit of x is 5.

The numbers x and y are not integers. The value of x is closest to which integer?

(1) 4 is the integer that is closest to x + y.
(2) 1 is the integer that is closest to x - y.

If k is a line in the xy-plane, what is the slope of k ?

(1) The x-intercept of k is 2.
(2) The y-intercept of k is 3.

If d is a positive integer and f is the product of the first 30 positive integers, what is the value of d ?

(1) 10^d is a factor of f.
(2) d > 6

Warehouse W's revenue from the sale of sofas was what percent greater this year than it was last year?

(1) Warehouse W sold 10 percent more sofas this year than it did last year.
(2) Warehouse W's selling price per sofa was $30 greater this year than it was last year.

If @ denotes one of the four arithmetic operations addition, subtraction, multiplication and division, what is the value of 1 @ 2 ?

(1) n @ 0 = n for all integers n.
(2) n @ n = 0 for all integers n.

The integers m and p are such that 2 < m < p and m is not a factor of p. If r is the remainder when p is divided by m, is r > 1 ?

(1) The greatest common factor of m and p is 2.
(2) The least common multiple of m and p is 30.

A recent lunch meeting at a certain club was attended by members and guests. Each member paid $4 for the lunch, and each guest paid $8 for the lunch. How many of the people attending the meeting were members?

(1) A total of 20 people attended the meeting.
(2) A total of $92 was paid for the lunch.

If w, x, y, and z are integers such that ~$\frac{w}{x}$~ and ~$\frac{y}{z}$~ are integers, is ~$\frac{w}{x}+\frac{y}{z}$~ odd?

(1) wx + yz is odd.

(2) wz + xy is odd.

If r is the remainder when the positive integer n is divided by 7, what is the value of r ?

(1) When n is divided by 21, the remainder is an odd number.
(2) When n is divided by 28, the remainder is 3.