Data Sufficiency

Leo can buy a certain computer for p 1 p 1 dollars in State A, where the sales tax is t 1 t 1 percent, or he can buy the same computer for p 2 p 2 dollars in State B, where the sales tax is t 2 t 2 percent. Is the total cost of the computer greater in State A than in State B? (1) t 1 > t 2 t 1 > t 2 (2) p 1 t 1 > p 2 t 2 p 1 t 1 > p 2 t 2

If n is a positive integer, is n^3 – n divisible by 4 ? (1) n = 2k + 1, where k is an integer (2) n^2 + n is divisible by 6

Jerry bought 7 clothing items, including a coat, and the sum of the prices of these items was $365.Iftherewasnosalestaxonanyclothingitemwithapriceoflessthan$100 and a 7 percent sales tax on all other clothing items, what was the total sales tax on the 7 items that Jerry bought? (1) The price of the coat was $125. (2) The average (arithmetic mean) price for the 6 items other than the coat was $40.

The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m? (1) m is odd. (2) The hundreds digit of m is 8

If n and t are positive integers, is n a factor of t ? (1) n = 3 n − 2 n = 3 n − 2 (2) t = 3 n t = 3 n

In the xy-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope 2/3. What is the value of b? (1) a = 4 (2) c = −6

If sequence S has 200 terms, what is the 192nd term of S ? (1) The first term of S is –40. (2) Each term of S after the first term is 3 less than the preceding term.

The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula n = 900 1 + c 2 − t n = 900 1 + c 2 − t , where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year? (1) Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year. (2) Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.

What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular box X? (1) When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. (2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters.

What was the price at which a merchant sold a certain appliance? (1) The merchant's gross profit on the appliance was 20 percent of the price at which the merchant sold the appliance. (2) The price at which the merchant sold the appliance was $50 more than the merchant's cost of the appliance.

A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal? (1) The family-size box of cereal contains 10 ounces more than the regular-size box of cereal. (2) The family-size box of cereal costs $5.40.

(n-x)+(n-y)+(n-z)+(n-k) What is the value of the expression above? (1) The average (arithmetic mean) of x, y, z, and k is n. (2) x, y, z, and k are consecutive integers.

Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total amount of the 3 discounts greater than 15 percent of the sum of the regular prices of the 3 items? (1) The regular price of the most expensive item was $50,andtheregularpriceofthenextmostexpensiveitemwas$20 (2) The regular price of the least expensive item was $15

What number is 15 percent of x ? (1) 18 is 6 percent of x. (2) 2/3 of x is 200.

In the figure above, what is the ratio KN/MN? (1) The perimeter of rectangle KLMN is 30 meters. (2) The three small rectangles have the same dimensions.

If S is the infinite sequence: S1=9, S2=99, S3=999, ..., SK = 10^K-1, ..., is every term in S divisible by the prime number p? (1) p is greater than 2. (2) At least one term in sequence S is divisible by p.

If v and w are different integers, does v = 0? (1) vw = v^2 (2) w = 2

If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house? (1) The selling price minus the real estate agent’s commission was $84,600. (2) The selling price was 250 percent of the original purchase price of $36,000.

If x ≠ − y x ≠ − y , then is x − y x + y > 1 x − y x + y > 1 ? (1) x > 0 x > 0 (2) y < 0 y < 0

If z^n = 1, what is the value of z? (1) n is a non zero integer (2) z > 0