Re: [計量] CAT計量問題請教(II)

看板GRE (GRE入學考試)作者leeneil (Paradise)時間16年前 (2009/08/05 23:05)推噓1(1推 0噓 0→)

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※ 引述《think12381 ()》之銘言： : 不好意思~麻煩各位了 : 謝謝各位的幫助 : CAT 18 : 8. : a wooden cube with edges of 4 inches is painted red. : the cube is then cut into 64 small cubes with edges of 1 inch. : COL A the number of small cubes that have exactly three red faces : COL B the number of small cubes that have no red faces : A B 分別如何算 : ans 一樣大 : A col a 大 B col b 大 C 一樣大 D 不能比 A 只有在原本的cube八個角才有三面都塗紅 B 也就是內裡的，which is a cube with edges of 2 inches 2x2x2 = 8 故選C : 11. : which of the following express the area of a circle in terms of C, its circumference? : ans c^2/4pi 圓周 = 2 pi x r = C 面積 = pi x r^2 = C^2 / pi / 4 : 24 : a shool group charters three identical buses and occpuies 4/5 of seats. after 1/4 of the passengers leave, : the remaining passengers use only two of the bues. : COL A the fraction of the seats on the two buses that are occupied : COL B 9/10 : ans C 假設三台車的容量是3Z人原本有坐了 12Z/5 人但是少了 1/4 * 12Z/5 人之後剩下 9Z/5人把這個數除以2Z = 9/10 : 26 : in a group of 100 students, there are more students on the fencing team than in the french club. if 70 : are in the club and 20 are in neither on the team nor in the club, what is minimum number of students who : could be both on the team and in the club. : a 61 b 60 c 50 d 49 e 10 : ans 61 題目問說最少有多人可以同時參加team也參加club 首先排除兩個都不參加的，所以是 100 - 20 = 80 這八十人之中有70個有參加club 設參加team的人數為為 Y， Y + 70 - X = 80 ，where X是交集 but Y > 70 ，代入 Y = 71 X = 71 + 70 - 80 = 61 : 28 : one side of a triangle has length 6 and a second side has length 7. which of the folling could be the area : I.13 : II 21 : III 24 : ans I and II 根據餘弦定理， area = 0.5*6*7*cosX，最大是21 故選I, II : CAT19 : 17. : the first term of a sequence is 1, and each of the following terms is less than than 3 times preceding : term. : COL A the smaller number that is greater than 100 in the sequence : COL B 120 : ans A 不懂@@ : 26. : An obtuse triangle has sides of lengths of 11, 15, and k, where k is an integer. : COL A the number of K values of K : COL B 13 : ans C : 6 : 圖是一個方形裡面有兩個半圓長這樣 ")(" 有相切問的是不是圓的部份 : the shaded region above is bounded by two semicircles and two sides of square abcd. : the perimeter of the shaded region is 4+2pi. : COL A the area of the shaded region : COL B 1 : ans B 看他的邊長，我們可以直接猜正方形的邊，是2，然後弧的部分是 pi*r = pi, r = 1 故面積為 2x2 - 1x1xPi = 4 - 3.14.... < 1 : 17 : 圖是一個圓裡面有兩個互相垂直的直徑這兩條直徑成這個形狀 "+" : in the circle with center O show above, AB and CD are diameters perpendicular to each other : and chord DF intersects AB at point E. if DE = 6 an EF = 2, the area the area of the circle O is : ans 24pi 沒圖沒真相 : 23 : if E(n) represents the sum of even digits of n for example, E(5681) = 6 + 8 = 14, then : E(1) + E(2) + E(3) +.....E(100) is : ans 400 先考慮n的個位數，一定是2,4,6,8重複出現，共10 故為 (2+4+6+8) x 10 = 200 接著各組十位數，也跟上面是一樣的算法故為 200+200 = 400 : 26. : if a is greater than c by 50%, and b is greater than c by 25%, then a is greater than b by what percent : ans 20 順便問一下 by 50%是什麼意思也就是說a是c的150%倍 b是c的125%， a = 1.5c b = 1.25c 求 a/b = 120% ，故比b大20% : 28. the two-digit integers N ans N' are positive and have the same digits, but in reversed ordered. how many : integers N are there if the sum of N and N' is a percect square?? : ans 8 這題先跳過 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 221.169.5.190