Re: [計量] 請教幾題數學
※ 引述《sonatach (sonata)》之銘言:
1. Par drove to work from his home, averaging 40 miles per hour,
and was 12 minutes late. The next day he left home for work
at the same time, took the same route, averaging 48 miles per hour,
and was 7 minutes late. How far in miles is it from Pat's home to his work?
Ans: 20.0
第一天 距離=D 時間=T 速率 40=D/T
第二天 距離不變 時間=T-1/12 速率 48=D/(T-1/12)
1/12是因為 第二天快了5分鐘 也就是1/12小時
2. If an employee deposited $2000 in a new credit union account and
made a single $200 deposit during each month thereafter, after how many
deposits will the employee have deposited a total of $ 10,000 in the
credit union account?
Ans: 41
1+[(10000-2000)/200] =41 如果要列式的話應該是這樣吧
3. If the smaller of 2 consecutive odd integers is a multiple of 5, which
of the following could NOT be the sum of these 2 integers?
(A) -8 (B)12 (C)22 (D)52 (E) 252
Ans: (c)
其實不要設比較好 因為設方程式之後 要一個一個答案帶進去算
這樣要花很久 不過如果要用你的方法設的話
第二個奇數要設5(2x+1)+2
4. If rt > st and r > s, then which of the following must be true?
(A) t > 0 (B) s > 0 (C) r > 0 (D) t < 0 (E) rs > 0
Ans: (A)
滿直觀的
5. If x < x的3次方 < x的平方, then which of the following could be the
possible value of x?
(A) -3/2 (B) -1/2 (C) 0 (D) 1/2 (E) 1/3
Ans: (B)
只要是負的小數都可以
6. A candidate for public office allocated 1/3 of her campaign funds for
television appearances, 2/3 of the remainder for personal appearances,
and the balance for newspaper advertisements. If the amount allocated for
newspaper advertisements was equally divided among 4 newspapers, what
fraction of her original campaign funds was allocated for each newspaper?
Ans: (A) 1/18
推文有人解釋了
7. 0.0625y = x(2.5/4)
Col A: x
Col B: y
Ans: D
移項一下
0 < 0.0625 * (2.5/4) =x/y x,y皆為正跟皆為負 大小相反 所以無法比較
8. If d>0 and 0 < 1- (c/d) < 1, which of the following must be true?
I. c > 0 II. c/d < 1 III. c^2 + d^2 >1
Ans: I. and II.
題幹可以知道 0 < c/d < 1 只知道比值無法知道真正的值
舉個例 c/d = 0.5 c=1 d=2 c^2+d^2 >1
但 c=0.1 d=0.2 c^2+d^2 <1 所以 III 不成立
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