Data Sufficiency

If p is the perimeter of rectangle Q, what is the value of p? (1) Each diagonal of rectangle Q has length 10. (2) The area of rectangle Q is 48.

What is the perimeter of isosceles triangle MNP? (1) MN = 16 (2) NP = 20

Each gift certificate sold yesterday by a certain bookstore cost either $10or$50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore? (1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

Terry holds 12 cards, each of which is red, white, green, or blue. If a person is to select a card randomly from the cards Terry is holding, is the probability less than 1/2 that the card selected will be either red or white? (1) The probability that the person will select a blue card is 1/3 (2) The probability that the person will select a red card is 1/6

Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop? (1) The tabletop is 36 inches wide by 60 inches long. (2) The area of one side of the sheet of glass is 2,400 square inches.

A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride? (1) The company charges $0.90 for a 2-mile ride. (2) The company charges $1.20 for a 4-mile ride.

The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50.Iftherewasnosalestaxonanyitemthathadapriceoflessthan$80 and 6 percent sales tax on all other items, what was the total sales tax on the 3 items that Kate purchased? (1) The price of the most expensive item that Kate purchased from the store was $100. (2) The price of the least expensive item that Kate purchased from the store was $10.

On a certain date, Hannah invested $5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest? (1) The total amount of interest earned by Hannah's two investments in one year was $900. (2) Hannah invested the $5,000 at 6 percent simple annual interest.

Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase? (1) Her gross weekly pay is currently $225.00. (2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.

On a recent trip, Mary drove 50 miles. What was the average speed at which she drove the 50 miles? (1) She drove 30 miles at an average speed of 60 miles per hour and then drove the remaining 20 miles at an average speed of 50 miles per hour. (2) She drove a total of 54 minutes.

The weights of all dishes of type X are exactly the same, and the weights of all dishes of type Y are exactly the same. Is the weight of 1 dish of type X less than the weight of 1 dish of type Y ? (1) The total weight of 3 dishes of type X and 2 dishes of type Y is less than the total weight of 2 dishes of type X and 4 dishes of type Y. (2) The total weight of 4 dishes of type X and 3 dishes of type Y is less than the total weight of 3 dishes of type X and 4 dishes of type Y.

If the sequence S has 300 terms, what is the 293rd term of S? (1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. (2) The first term of S is -22.

If a < x < b and c < y < d, is x < y ? (1) a < c (2) b < c

In a random sample of 80 adults, how many are college graduates? (1) In the sample, the number of adults who are not college graduates is 3 times the number who are college graduates. (2) In the sample, the number of adults who are not college graduates is 40 more than the number who are college graduates.

What is the cube root of w? (1) The 5th root of w is 64. (2) The 15th root of w is 4.

Is 4 x + y = 8 10 4 x + y = 8 10 ? (1) x - y = 9 (2) y/x = 1/4

A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ? (1) Each paragraph of the preface has more than 100 words. (2) Each paragraph of the preface has fewer than 150 words.

In College X the number of students enrolled in both a chemistry course and a biology course is how much less than the number of students enrolled in neither? (1) In College X there are 60 students enrolled in a chemistry course. (2) In College X there are 85 students enrolled in a biology course.

Three machines, K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task? (1) Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes. (2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.

A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item? (1) y - x = 20 (2) y/x = 5/4