Data Sufficiency

What is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe? (1) The number of cups of flour required in the recipe is 250 percent of the number of cups of sugar required in the recipe. (2) 1 1 2 1 1 2 more cups of flour than cups of sugar are required in the recipe.

Last year, if Elena spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers? (1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books. (2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books.

Three children inherited a total of X dollars. If the oldest child inherited $7,000morethantheyoungestchild,andtheyoungestchildinherited$9,000 less than the middle child, what is the value of X ? (1) The middle child inherited $27,000. (2) The youngest child and the middle child together inherited a total of $45,000.

A certain computer company produces two different monitors, P and Q. In 2010, what was the net profit from the sale of the two monitors? (1) Of the company's expenses in 2010, rent and utilities totaled $500,000. (2) In 2010, the company sold 50,000 units of monitor P at $300perunitand30,000unitsofmonitorQat$650 per unit.

A certain pizzeria has more than fifty types of pizzas on its menu. The chart shows the revenue share, in the pizzeria’s total revenue in the last month, of its four most popular pizza types. Each pizza type has only a single size and a single price. Which was their best-selling pizza last month in terms of number of pizzas sold? (1) The number of customers who ordered at least one Pep-Peroni pizza last month was greater than the number of customers who ordered at least one of any other pizza type last month. (2) The lowest-priced pizza type on the pizzeria’s menu is Tomato Blast, followed by VegCheese.

Five coffee–chicory blends—J, K, L, M, and N—are all priced differently. The blends are such that the greater the proportion of coffee, the more expensive the blend—and the greater the proportion of chicory, the stronger the flavor of the blend. If the five blends were ranked in order of cost per kilogram, which would fall in the middle? (1) Blend L has a higher proportion of coffee than the other blends except for Blend M. (2) Blend K and Blend N both have a stronger flavor than Blend J.

The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet? (1) The total number of shirts and jackets in the closet is less than 30 (2) The total number of shirts and dresses in the closet is 26

For a certain city's library, the average cost of purchasing each new book is $28.Thelibraryreceives$15,000 from the city each year,the library also receives a bonus of $2,000 if the total number of items checked out over the course of the year exceeds 5,000.Did the library receive the bonus last year ? (1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost. (2) The lowest number of items checked out in one month was 459 .

In a certain group of 50 people, how many are doctors who have a law degree? (1) In the group, 36 people are doctors. (2) In the group, 18 people have a law degree.

In a real estate office that employs n salespeople, f of them are females and x of the females are new employees. What is the value of n ? (1) If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3. (2) If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2.

At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year? (1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6. (2) At the end of the year, 21 members remained on the Planning Committee.

What was the median annual salary for the employees at Company X last year? (1) Last year there were 29 employees at Company X. (2) Last year 12 employees at Company X had an annual salary of $24,000.

7, 9, 6, 4, 5, x If x is a number in the list above, what is the median of the list? (1) x > 7 (2) The median of the list equals the arithmetic mean of the list.

A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? (1) x = y (2) z = 60

A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card? (1) The units digit of the sum of the numbers on the remaining 35 cards is 6. (2) The sum of the numbers on the remaining 35 cards is 176.

What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y? (1) The average height of the students in class X is 120 centimeters. (2) The average height of the students in class X and class Y combined is 126 centimeters.

For a new project, an organization is creating a three-member team from among its employees. Selection of members for the team conforms to exactly two rules: no selected member can be working on more than one other project at the time of selection, and at least one of the selected members must have an MBA degree. The organization has selected Paula and Quincy for the team. Neither of these will be replaced before the third member is selected. The organization is about to make the third selection. If the organization adheres to the selection rules for committee membership, is it possible that Rubin will be selected for the team? (1) Quincy has an MBA degree, and Rubin is currently working on only one other project. (2) Rubin is one of only two employees in the organization who have an MBA degree.

A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed? (1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3. (2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.

Chris was in an electronic appliances store to buy an LED computer monitor. Chris’s purchase criteria included screen size, which must be at least 32 inches, and price—which must not exceed $400. A friend made two recommendations: Monitor A and Monitor B. Chris liked both monitors. Did Chris more likely buy Monitor A, Monitor B, or neither? (1) Monitor A’s screen size was more than 32 inches—and it cost less than Monitor B. (2) Monitor B cost $390 and its screen size was less than that of Monitor A.

A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large? (1) In the production lot, 400 of the small toys are green. (2) In the production lot, 2/3 of the toys produced are small.