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【答案】 B 【思路】設最長為 a,中間為 b,最短為 c, a+b+c=27,問 a=? (1)a=2cinsufficient (2)b+c=15, 則 a=12sufficient 32. 2346!item!187。002582 If n is an integer, is 7n an integer? (1) 73n is an integer. (2) 75n is an integer. 【 答案 】 D 【思路】 (1)3與 7互質 ,則 n必為 7的倍數(shù) , 7n is intergersufficient (2)5與 7互質 ,則 n必為 7的倍數(shù) , 7n is interger sufficient 11 31. 2292!item!187。002580 Is the positive integer n odd? (1) n = 2k + 1, where k is a positive integer. (2) 2n + 1 is an odd integer. 【 答案 】 A 【思路】 (1)2k=even 則 even+1=oddsufficient (2)2n=even, n=even or oddinsufficient 30. 2186!item!187。002573 A certain movie depicted product A in 21 scenes, product B in 7 scenes, product C in 4 scenes, and product D in 3 scenes. The four product manufacturers paid amounts proportional to the number of scenes in which their product was depicted in the movie. If each manufacturer paid x dollars per scene, how much did the manufacturer of product D pay for this advertising? (1) The manufacturers of products A and B together paid a total of $560,000 for this advertising. (2) The manufacturer of product B paid $60,000 more for this advertising than the manufacturer of product C paid. 【 答案 】 D 【思路】 3X=? (1)21X+7X=560000,可得 Xsufficient (2)7X=4X+60000,可得 Xsufficient 29. 2131!item!187。002572 Does set S contain any even numbers? (1) There are no prime numbers in S. (2) There are no multiples of 4 in S. 【 答案 】 E 【思路】 (1)S=4,6,8,9 OR S=9,15,21insufficient (2)S=2,5,6,7 OR S=5,7,9insufficient (1)(2)S=6,9,14 OR S=9,15,21insufficient 28. 2077!item!187。002479 If x and y are integers, is the value of x(y + 1) even? (1) x and y are prime numbers. (2) y 7 【 答案 】 C 【思路】 (1)if x=3, y=2 則 x(y+1)=odd, x=3, y=3,則 x(y+1)=eveninsufficient (2)y7 (y+1)might be even or odd則 x(y+1)=even or oddinsufficient 10 (1)(2)y7 and prime number 則 (y+1)=even 則 x(y+1)=evensufficient 27. 2023!item!187。002459 If x and y are greater than 0, is x = 1 ? (1) yx = 1 (2) xy = 1 【答案】 C 【思路】 (1) x=y ,不知 x 是否等於 1,不充分 (2) xy=1,x 有很多可能 (分數(shù) ,整數(shù) …等 ),不充分 (1)+(2) x=y 且 xy=1 ? 2x =1 ?x=+1 or 1,但題目已告知 x0,所以確 定 x=1,充分 ! 26. 1925!item!187。002455 One member of a mittee of 5 men and 8 women resigned and was not replaced. What fraction of the remaining members were men? (1) 127 of the remaining members were women. (2) The member who resigned was a woman. 【答案】 D 【思路】 (1) 可知 512是 man,充分 (2) 原本 woman 是 813 ,一個女人 resigned 後 ,女人比例變成 712 ,也可以推出 man: 512 ,充分 25. 1873!item!187。002433 q q q q q r s t q u v w 9 q x y z In the table above, is z = 20q ? (1) q = 3 (2) Each valu