Data Sufficiency

A certain group of car dealerships agreed to donate x dollars to a Red Cross Chapter for each car sold during a 30-day period. What was the total amount that was expected to be donated? (1) A total of 500 cars were expected to be sold (2) Sixty more cars were sold than expected, so that the total amount actually donated was $28,000

Is 1 p > r r 2 + 2 1 p > r r 2 + 2 ? (1) p = r p = r (2) r > 0 r > 0

Is x negative? (1) x 3 ( 1 − x 2 ) < 0 x 3 ( 1 − x 2 ) < 0 (2) x 2 − 1 < 0 x 2 − 1 < 0

If m m and n n are positive integers, is n − m − − − − − √ n − m an integer? (1) n > m + 15 n > m + 15 (2) n = m ( m + 1 ) n = m ( m + 1 ) KUDO please, if you like it.

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.

If r and s are positive integers, is r/s an integer? (1) Every factor of s is also a factor of r. (2) Every prime factor of s is also a prime factor of r.

Is x equal to 5 ? (1) x ≥ 5 (2) x ≤ 5

Are positive integers p and q both greater than n ? (1) p - q is greater than n (2) q > p

Does the integer k have a factor p such that 1<p<k? (1) k > 4! (2) 13 ! + 2 ≤ k ≤ 13 ! + 13 13 ! + 2 ≤ k ≤ 13 ! + 13

Is 2x - 3y < x^2 ? (1) 2x - 3y = -2 (2) x > 2 and y > 0

In the xy- plane, does the point (4, 12) lie on the line K. (1) The point (1, -7) lies on line K (2) The point (-2, 2) lies on the line K (1) The point (1, -7) lies on line K (2) lie on the line K. (1) The point (1, -7) lies on line K (2) The point (-2, 2) lies on the line K

If x is to be selected at random from T, what is the probability that 1 4 * x − 5 ≤ 0 1 4 * x − 5 ≤ 0 ? (1) T is a set of 8 integers. (2) T is contained in the set of integers from 1 to 25, inclusive.

What is the value of a^4 - b^4 ? (1) a^2 - b^2 = 16 (2) a + b = 8

If m > 0 and n > 0, is m + x n + x > m n m + x n + x > m n ? (1) m < n (2) x > 0

Whenever martin has a restaurant bill with an amount between $10and$99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill.If the amount of the Martin's most recent restaurant bill was between $10and$99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill? (1) The amount of the bill was between $15and$50 (2) The tip calculated by the martin was $8

What is the value of the integer x? (1) x is a prime number. (2) 31 ≤ x ≤ 37

While driving on the expressway, did Robin ever exceed the 55-miles-per-hour speed limit? (1) Robin drove 100 miles on the expressway. (2) Robin drove for 2 hours on the expressway.

What is the value of 5x^2 + 4x - 1 ? (1) x(x + (2) —

What is the value of xy? (1) y = x + 1 (2) y = x^2 + 1

What is the value of (a+b)^2? (1) ab = 0 (2) (a-b)^2 = 36