单选题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
Ａ. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Ｂ. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Ｃ. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Ｄ. EACH statement ALONE is sufficient.
Ｅ. Statements (1) and (2) TOGETHER are NOT sufficient.

单选题 A hiker in a national forest stopped at a ranger station to add water to her canteen. How many ounces of water were in the canteen when she arrived at the ranger station?
(1) The hiker added 24 ounces to the canteen at the ranger station.
(2) After the hiker added water to the canteen, the canteen was 75 percent full.

【正确答案】 E

【答案解析】is insufficient because it says only that there was space for 24 ounces in the canteen, it does not give information about how much was in the canteen initially. (2) is insufficient because it tells neither how much was in the canteen nor how much was added. If the statements are combined, the information is still insufficient because there is no way to tell how large the canteen is, so there is no way to tell what part of the 75 percent the 24 ounces constitutes.

单选题 If b＞a, then a is what percent of b?
(1) a=4
(2) b=4a

【正确答案】 B

【答案解析】alone is insufficient because it gives no value for b. (2) alone is sufficient, because it gives the relationship between a and b, so that we know that a is 1/4=25 percent of b.

单选题 If all apples at a certain grocery store are equally priced, and all pears at the same grocery store are equally priced, what is the same price of a pear?
(1) Eight pears cost eighty cents more than eight apples.
(2) Ten apples cost twenty cents more than eight pears.

【正确答案】 C

【答案解析】alone is insufficient because it does not give the price of either item. (2) alone is insufficient because it does not give the price of either item. If the statements are combined, you can determine that the addition of two apples increased the value of the bundle of apples as opposed to the bundle of pears by $1.00, so each apple must be worth $0.50. From (1), we know that each pear costs $0.10 more than each apple, so each pear is worth $0.60.

单选题 If each of the segments marked on the board above is of equal length, and if x and y represent the indicated lines on the board, then what is the distance between x and y? (There are twelve inches in a foot).

【正确答案】 D

【答案解析】alone is sufficient; there are 10 segments on the board, and the board is 5 feet=60 inches long, so each segment is six inches; there are four segments between x and y, so the distance is 24 inches. (2) alone is sufficient; x is three segments from the near end of the board, so each segment is 18/3 inches=6 inches long; there are four segments between x and y, so the distance is 24 inches.

单选题 Any decimal that has a finite number of nonzero digits is a terminating decimal. For example, 16, 12.43, and 0.26 are all terminating decimals. If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal?
(1) b=5
(2) 70＜a＜80

【正确答案】 A

【答案解析】alone is sufficient because any positive integer divided by 5 will have a remainder of either 0, 1, 2, 3, or 4, which translate into terminating decimals of either 0.0, 0.2, 0.4, 0.6, or 0.8; therefore, if b=5, then a/b has to be a terminating decimal. (2) alone is insufficient because it does not give the value for b;, if, for example, b=5, then any of the numbers in that range would result in terminating decimals, but if b=3, then 71/3=23.666666666....