Re: [計量]PP1-DS-41.76.93
※ 引述《vitality (有捨才有得...)》之銘言:
: 41.Machines X and Y work at theier respective constant rates. How many more
: hours does it take machine Y, working alone, to fill a production order of
: a certain size than it takes machine X, working alone?
: (1)Machine X and Y, working together, fill a production order of this size
: in two-thirds the time that machine X, working alone, does.
: (2)Machine Y, working alone, fills a production order of this size in
: twice the time that machine X, working alone, does.
: Ans:E
設總工程為1,X的工作效率為x,Y的工作效率為y
(1) 1/(x+y)=(2/3)*(1/x) 化簡得 2y=x ...insuff
(2) 1/y=2*(1/x) 化簡得 2y=x ...insuff
又(1)(2)聯立還是只有一條方程式 ...insuff
: 76.Is the integer K divisible by 4?
: (1) 8K is disvisible by 16.
: (2) 9k is disvisible by 12.
: Ans:B
(1)8K/16=K/2...0 只知道K能被2整除 ...insuff
(2)9K/12=3K/4...0 由於前面的3不是4的倍數,所以後面的K肯定能被4整除...suff
: 93.If the integer n is greater than 1, is n equal to 2?
: (1) n has exactly two positive factors.
: (2) The difference of any two distant factors of n is odd.
: 這題不懂的是第二個選項
: 如果n=4 factors有1.2.2或是1.4 這樣2-1或4-1 不也是odd的嗎?
: Ans: B
(1)剛好只有2個因數的整數 2,3,5,7,11....insuff
(2)正整數有2種,奇數跟偶數
奇數:因數包含本身和1,2者相減必定是偶數 ex:3-1,5-1,7-1...
超過2的偶數:因數包含本身和2,2者相減必定也是偶數
ex:4的因數:1,2,4 =>4-2
6的因數:1,2,3,6 =>6-2
正整數排除以上只剩2了...suff
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08/16 10:24, , 1F
08/16 10:24, 1F
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