Data Sufficiency

How many basic units of currency X are equivalent to 250 basic units of currency Y ? (1) 100 basic units of currency X are equivalent to 625 basic units of currency Y. (2) 2,000 basic units of currency X are equivalent to 12,500 basic units of currency Y.

The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds? (1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively. (2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.

A box contains exactly 40 bottles, each of which contains only one of three types of soda—orange, lemon, and ginger. What is the probability of randomly selecting a ginger soda, without any replacement in the box, on each of 3 consecutive attempts? (1) The number of orange sodas is 5 more than the number of ginger sodas. (2) The number of ginger sodas is 10 more than the number of lemon sodas.

If a school district paid a total of $35perdeskforxdesksandatotalof$30 per table for y tables, what was the total amount that the district paid for these desks and tables? (1) The total amount the district paid for the y tables was $900. (2) x = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the y tables.

How many men are in a certain company's vanpool program? (1) The ratio of men to women in the program is 3 to 2. (2) The men and women in the program fill 6 vans.

Last semester, Professor K taught two classes, A and B. Each student in class A handed in 7 assignments, and each student in class B handed in 5 assignments. How many students were in class A ? (1) The students in both classes combined handed in a total of 85 assignments. (2) There were 10 students in class B.

Max has $125consistingofbillseachwortheither$5 or $20.Howmanybillsworth$5 does Max have? (1) Max has fewer than 5 bills worth $5 each. (2) Max has more than 5 bills worth $20 each.

What is the standard deviation of the weights of the 30 samples in a certain experiment? (1) The total weight of the 30 samples is 360 grams. (2) Each of the 30 samples weighs 12 grams.

What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) The average of 92 measurements is 7.0 centimeters. (2) The average of the last 2 measurements is 7.2 centimeters.

By what percent was the price of a certain television set discounted for a sale? (1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price. (2) The price of the television set was discounted by $60 for the sale.

In any twenty-four-hour period, a certain faulty clock gains anywhere from one second to a maximum of three minutes. The clock did not stop or lose time since noon the day before yesterday. At exactly noon today, did the clock show the correct time to an accuracy of five minutes? (1) The clock was set to the correct time the day before yesterday at exactly noon. (2) At exactly noon yesterday, the clock was set back by one minute.

If $5,000investedforoneyearatppercentsimpleannualinterestyields$500, what amount must be invested at k percent simple annual interest for one year to yield the same number of dollars? (1) k = 0.8p (2) k = 8

In a survey of retailers, what percent had purchased computers for business purposes? (1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes. (2) 40 percent of the retailers surveyed owned their own store.

In a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. How many of the fiction books are written in Spanish? (1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish. (2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.

Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of the companies surveyed required neither computer skills nor writing skills? (1) Of those companies surveyed that required computer skills, half required writing skills. (2) 45 percent of the companies surveyed required writing skills but not computer skills.

If the length of Wanda's telephone call was rounded up to the nearest whole minute by her telephone company, then Wanda was charged for how many minutes for her telephone call? (1) The total charge for Wanda's telephone call was $6.50. (2) Wanda was charged $0.50 more for the first minute of the telephone call than for each minute after the first.

If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance? (1) The distance that Paula drove from her home to her college was greater than 200 kilometers. (2) The distance that Paula drove from her home to her college was less than 205 kilometers.

The only gift certificates that a certain store sold yesterday were worth either $100eachor$10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday? (1) The gift certificates sold by the store yesterday were worth a total of between $1,650and$1,800. (2) Yesterday the store sold more than 15 gift certificates worth $100 each.

Will Candidate A win the most votes of any of the competing candidates in the upcoming election? (1) An opinion poll, Poll P, indicates that 60% of respondents prefer Candidate A over other candidates competing in the upcoming election. (2) An election-forecasting opinion poll is a method to estimate election outcomes based on a sample that is representative of the population of all of those legally entitled to vote.

Six shipments of machine parts were shipped from a factory on two trucks, with each shipment entirely on one of the trucks. Each shipment was labeled either S1, S2, S3, S4, S5, or S6. The table shows the value of each shipment as a fraction of the total value of the six shipments. If the shipments on the first truck had a value greater than 1/2 of the total value of the six shipments, was S3 shipped on the first truck? (1) S2 and S4 were shipped on the first truck. (2) S1 and S6 were shipped on the second truck.