Re: [計量] CAT test 11 12
※ 引述《sqaure (sqaure)》之銘言:
: test11:
: 19. In 2002, McDonald's sold 20% more cheeseburgers than in 2001, and in 2002
: the price of each cheeseburger they sold was 10% more than in 2001.
: The gross income from the sale of cheeseburgers was what percent greater
: in 2002 than in 2001?
: ans : 32%
你可以假設2001年賣X個漢堡 一個Y元 依題意可知2002年賣1.2X個,每個1.1Y元
2001年總共獲得 XY 元 2002年總共獲得 1.32XY 元
所以2002年比2001年多賺了 32%
: test 12:
: 2. If p is the number on the number line between 2 and 20 that is twice as
: far as from 2 as from 20, then p is?
: ans : 14
: 想問想這種句型到底要怎麼分辨誰是誰的幾倍?
一定是"先"說得比"後"說得幾倍 所以是到2的距離是到20的距離的兩倍
依題意可知把線段分成三等分 (20-2)/3=6
p=2+6*2=14
: 5. If x and y are positive integers, and 30(x-2)=68(y+3), what is the least
: possible value of x+y?
: (a)38 (b)48 (c)68 (d)97 (e)98
: ans : 48(b)
: 我找不出好方法,只好一個個答案代進去算了
: 請問有其他方法嗎?
先找出 30 68 最小公倍數 = 1020
因為他只有說possible value 你要從最小公倍數的倍數去找答案
可能為最小公倍數的情況也可能不是 但這題好像剛好是這個情況
(x-2)= 34
x=36
(y+3)=15
y=12
x+y=48
: 22. Each house number on Main Street has 4 digits, and all of them look
: identical. Pan wants to play a visit to his friend, and he remenbers the
: first 2 digits of his friend's address. However, he has forgotten the last
: 2 digits. All Pat can make sure is that his friend's house number is odd.
: If Pat chooses a house based on what he knows about the address, what is
: the probability that Pat will coose his friend's house?
: ans : 1/50
四位數 前兩位數已知-->只有十位數和個位數不知而已
就可以看成是0~99 挑中他朋友住的號碼
又知道尾數是奇數 可以刪掉偶數50個
則挑中的機率就是
1/(99-0+1 -50 ) = 1/50
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