Re: [計量] CAT計量問題請教
※ 引述《think12381 ()》之銘言:
: 沒人可以問 只能請教各位板友 這些題目怎麼算
: 不好意思題目還蠻多的
: CAT 14
: 25.
: Pat plans to visit the national gallery oncee each month in 2007
: except in july and august when he plans to go three times each a single
: admission costs $3.5 a pass valid for unlimited visits in any
: 3-month period can be purchased for $18 and annual pass costs $60
: what is the least amount in dollars that pat can spend for his intended number
: of visits
: ans 49.5
九次買單次票,然後暑假的時候買單季套票
例如說用季票看7,8,9或者6,7,8
cost = 3.5x9 + 18 = 35 + 18 - 3.5 = 49.5
: CAT 15
: 1.
: The figure above shows part of a circle whose
: circumference is 45 if arcs of length 2 and length b
: continute to alternatee around the entire circle so that
: there are 18 arcs of each length, what is the degree
: measure of each of the arcs of length b
: ans 4'
圖咧?
: 6.
: if the product consecutive integers is equal to one of them
: what is the largest possible value of one of the integers
: ans 5
我要再想想
: 14.
: an interger is "conjoint" is a muliple of 2 or 3
: how many conjoint integers are there between -11 and 11
: ans 15 順便問題意
如果是2或者3的倍數,吾人稱之為conjoint
列舉出在-11到11之間符合條件者: -10, -9, -8, -6, -4, -3, -2, 0.....
請留意0也是其(任意兩者)倍數
: 18.
: eason some goldfish at the state fair during the first
: week 1/5 of them died and during the second week 3/8 of
: those still alive at the end of the first week died what
: fraction of the original goldfish were still alive after
: two weeks
: ans 1/2
這題目真是好樣的
他說在第一週時 1/5死了,在第二週時第一週活下來的3/8死了
所以活著的 = 1 - 1/5 - 4/5 * 3/8
= 1 - 1/5 - 3/10 = 1/2
: CAT16
: 13.
: x and y are distinct positive decimals. if sum of x and y
: were rounded to the hundredth the result would be equal to x
: y 0.007
: ans B
題目有點抽像,不過可以猜想不管y是什麼,x加上他
但是再做四捨五入到百分位後依然是x
直接看選項,不管x是多少加上0.007之後一定會進位,所以B比較大
: 28.
: the slope of line m that through O and intersects AB 3/8
: between A and B
: ans B
不懂@@
: CAT 17
: 25.
: of ten researchs attending a round-table meeting, two are husband and wife
: what is the probability that the couple will sit adjacently
: ans 2/9
先考慮夫妻倆為一個單位,故有9個單位
但是考慮夫妻兩人可換位,所以共有 9! x 2 / 9 種可能
而sample space為 10!/10
故機率為 8! x 2 / 9! = 2 / 9
: 27.
: there are 27 students on the school debate team.
: what is the probablity that at least 3 of them have
: their birthdays in the same month
: ans 1
這個很像很有名的 birthday paradox,個人認為考這個應該是h的問題了
他問至少三個,機率的概念就是想成少於兩個 (其實就是只有兩個)
所以就是 (1/12) x (11/12)^25 (*)
但是所求為 1 - (*)
這個機率非常小,所以看到 1 就可以選了 ^^||
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