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Is the smallest of five consecutive integers even? (1) The product of the five integers is 0. (2) The sum of the five integers is 0. 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 b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. What is the value of x? (1) x2 = 6x - 9 (2) x2 = x + 6 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 a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Brainpower Read More Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:00 / 0:00 Full screen State | 1980 | 1990 Washington 12% 10% Oregon 17% 17% Iowa 9% 13% Vermont 20% 15% Maine 9% 12% California 33% 33% Total | 1.2 B | 1.6 B The number of matches produced in Oregon in 1980 was approximately the same as the number produced in which state in 1990? Washington Maine California Oregon Iowa Iowa State | 1980 | 1990 Washington 12% 10% Oregon 17% 17% Iowa 9% 13% Vermont 20% 15% Maine 9% 12% California 33% 33% Total | 1.2 B | 1.6 B The increase in the number of matches produced in California from 1980 to 1990 exceeds by how many million the increase in the number of matches produced in Oregon over the same period? 68 64 16 2.56 1.82 64 A circle is inscribed in a square. What is the area of the shaded region? (1) The distance from the center of the circle to a vertex of the square is 2 Square root of 2 (2) The square has a perimeter of 16. 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 d. EACH statement ALONE is sufficient. (3^3+ 3)/3 + (3^2+3^2)/3^2 = 1 5 12 17 30 12 During the first hour of a day, a stationary store sells only $1.50 worth of envelopes, $2.25 worth of pens, and a three-ring binder for $5.25. If the store had $20 in the cash register at the beginning of the day, and the store charges 8 percent sales tax on all purchases, how much money is in the register at the end of the first hour? $29.72 $27.92 $20.72 $9.72 $7.92 $29.72 Triangle: a=6 b = ? c = ? Angle ab = 90 In the right triangle above, is c less than 10? (1) b < 8 (2) c > 9 Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. 1 - q-1/q = 1/q 1+q/q 1-q/1+q 1 - q q 1/q If County X consists of five towns, A, B, C, D, and E, how many people live in Town A? (1) The total population of the five towns in County X is 21,000. (2) The total population of towns B, C, D, and E is 3,000. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. Thirty percent of the balloons used to decorate a party are red and the rest are yellow. If one-quarter of the yellow balloons have strings and there are a total of 40 balloons, how many of the yellow balloons do not have strings? 6 7 12 18 21 21 A company produces baseball cards in equal numbers of regular packs of 16 and deluxe edition packs of 30. If, on a certain day, a company produces 241 cards, what is the smallest number of additional cards the company needs to produce in order to maintain its regular production practice? 5 11 21 35 46 35 Picture: Square embedded in a circle. All points touch the circle. Square: WXZY In a certain playground, a square sand box rests in a circular plot of grass so that the corners of the sandbox just touch the edge of the plot of grass at points W, X, Y and Z, as shown. What is the distance from point W to point Y? (1) The area of the circular plot is 49*pi. (2) The ratio of the area of the sand box to the area of the circular plot is 2/pi Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. y | (0,8) B | (0,3) A | | _ _ _ _ 7 _ _ _ _ _ _ _ _ _ _ _ x In the coordinate plane above, if line 1 || line 2 || x-axis and point a on line 2 is exactly 13 units away from point b on line 1, what is the x-coordinate of point b ? 19 17 15 12 8 19 If x<> 0, is x greater than y? (1) x > y + 2 (2) 2 + x > y Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. If 5a + 2b = 11 and 4a + 3b = 4, then a - b = -7 25/7 48/7 7 15 7 Is N odd? (1) N is a factor of 100. (2) N is a factor of 135. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. square root of 99 - square root of 44 + square root of 11 = a. Square root of 11 b. 2 * Square root of 11 c. Square root of 66 d. 12 e. 6 * Square root of 11 b. 2 * Square root of 11 Josie's land is to be divided into three parcels. If the larger parcel is 60 percent of the total and the smaller parcels are the same size, what is the number of acres in one of the smaller parcels? (1) The combined size of the larger parcel and one of the smaller parcels is 416 acres. (2) The size of the larger parcel is 312 acres. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT EACH statement ALONE is sufficient. In 1990, those who invested money in fund Z for the entire year received a return of 9 percent on their investment. Roberta invested a certain amount in fund Z on January 1, 1990, and neither added to nor subtracted from her investment during the year; her investment and return for the entire year equaled $15,260. How much money did Roberta invest in fund Z on January 1, 1990? 13000 13260 14000 14360 14750 14000 The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours? 41.25 42.5 43.75 45 57.5 43.75 Representation in a local community board is based on the community's population, with 25 board members representing the first 500,000 people, and each additional board member representing an additional 30,000 people. Is the population of the town less than 500,000? (1) There were 23 members on the community board. (2) If the population were three times as large, the community board would have had 51 members. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT EACH statement ALONE is sufficient. A circular patch is placed on a square piece of fabric. What is the perimeter of the square piece of fabric? (1) The radius of the patch is 4 centimeters. (2) Each side of the square piece of fabric is tangent to the patch. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT SUFFICIENT BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. (-43)^4/(126*2)^2 1 if Square root of a = 3 and square root of b = 4, then square root of a + square root of b/ square root of a+b = a. 1 b. 8/7 c. 7/5 d. 12/5 e. 5 7/5