Data Sufficiency

Are the numbers k/4, z/3, and r/2 in increasing order? (1) 3 < z < 4 (2) r < z < k

If x and y are integers and y = |x + 3| + |4 - x|, does y equal 7? (1) x < 4 (2) x > -3

What is the area of the rectangular region above? (1) l + w = 6. (2) d^2 = 20 Show Spoiler

In the rectangular coordinate system, if line l is parallel to one of the axes, does line contain the point (4, 5) ? (1) Line l contains the point (4, -5). (2) Line l crosses the x-axis.

The regular price per eight-ounce can of brand X soup is $0.37, regardless of the number of cans purchased. What amount will be saved on the purchase of 3 eight-ounce cans of brand X soup if the regular price is reduced ? (1) At the reduced price, 3 eight-ounce cans of brand X soup will cost $0.99 (2) The amount that will be saved on each eight-ounce can of brand X soup purchased at the reduced price is $0.04.

In 1979 Mr. Jackson bought a total of n shares of stock X and Mrs. Jackson bought a total of 300 shares of stock X . If the couple held all of the respective shares throughout 1980, and Mr. Jackson's 1980 dividends on his n shares totaled $150, what was the total amount of Mrs. Jackson's 1980 dividends on her 300 shares? (1) In 1980 the annual dividend on each share of stock X was $0.75. (2) In 1979 Mr. Jackson bought a total of 200 shares of stock X.

What percent of a group of people are women with red hair? (1) Of the women in the group, 5 percent have red hair. (2) Of the men in the group, 10 percent have red hair.

All the T-shirts a clothing store stocks are plain—and they are all in one of exactly four colors: blue, green, red, and yellow. On any day, the store sells about twice as many blue T-shirts as it does green T-shirts. Last week, did the store sell more blue T-shirts than red T-shirts? (1) Last week, the store sold fewer blue T-shirts than red T-shirts and green T-shirts combined. (2) Last week, the store sold more blue T-shirts than half the total number of red T-shirts and yellow T-shirts combined.

Is the integer n divisible by 20? (1) n is divisible by 5 (2) n is divisible by 6

Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast? (1) Candidate F received 11 of the votes. (2) Candidate H received 14 of the votes.

If x and y are positive integers and x is a multiple of y, is y = 2? (1) y ≠ 1 (2) x + 2 is a multiple of y.

In a certain group of people, the average (arithmetic mean) weight of the males is 180 pounds and of the females, 120 pounds. What is the average weight of the people in the group? (1) The group contains twice as many females as males. (2) The group contains 10 more females than males. DS47602.01

If 1 < d < 2, is the tenths’ digit of the decimal representation of d equal to 9? (1) d + 0.01 < 2 (2) d + 0.05 > 2 DS97602.01

If Aaron, Lee, and Tony have a total of $36, how much money does Tony have? (1) Tony has twice as much money as Lee and 1/3 as much as Aaron. (2) The sum of the amounts of money that Tony and Lee have is half the amount that Aaron has.

In the figure above, if PR is a line segment, what is the sum of the lengths of the curved paths from P to Q and from Q to R ? (1) XQ = QY = 5 centimeters. (2) Every point on arc PQ is 5 centimeters from point X, and every point on arc QR is 5 centimeters from point Y. Show Spoiler

Does Joe weigh more than Tim? (1) Tim’s weight is 80 percent of Joe’s weight. (2) Joe’s weight is 125 percent of Tim’s weight.

If Sara's age is exactly twice Bill's age, what is Sara's age? (1) Four years ago, Sara's age was exactly 3 times Bill's age. (2) Eight years from now, Sara's age will be exactly 1.5 times Bill's age.

If i and j are integers, is i + j an even integer? (1) i < 10 (2) i = j

Are at least 10 percent of the people in Country X who are 65 years old or older employed? (1) In Country X, 11.3 percent of the population is 65 years old or older. (2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.

If Mark saved an average (arithmetic mean) of $80 per week for 3 consecutive weeks, how much did he save the second week? (1) The average amount that Mark saved per week for the first 2 weeks was $60. (2) The amount that Mark saved the first week was 1/2 the amount he saved the second week and 1/3 the amount he saved the third week.