[計量] 好多題計量請教
這是今天的題目，麻煩大家了！
1. After filling the car's fuel tank, Marie drove from city P to City Q and
then to city R. If she spent two-fifths of the fuel driving from city P
to city Q and another 7 gallons from city Q to city R, still having a
quart of a tank left, how many gallons does the tank hold to capacity?
(A) 12
(B) 18
(C) 20
(D) 21
(E) 35 ANS:(C) 算出來的數字不是整數
2. Machine X produces w widgets in 5 minutes. If Machine X and Machine Y,
working at the same time, produce w widgets in 2 minutes, how long will
it take Machine Y to work alone to produce w widgets?
(A) 2 1/2 min.
(B) 2 2/3 min.
(C) 3 1/3 min.
(D) 3 1/2 min.
(E) 3 1/3 min. ANS:(C)
3. At a school, out of 120 seniors, 80 srniors take Calculus and 64 seniors
take Biochemistry.
Column A Column B
The number of seniors
who take both Calculus 24
and Biochemistry. ANS: D 我算80+64-120=24 C
4. If 10^50-74 is written as an integer in base 10 notation, what is the sum
of the digits in that integer?
(A) 424
(B) 433
(C) 440
(D) 458
(E) 467 ANS:(C) 看不懂題目要問啥
5. In the xy-plane, point A (22,-2) and B (10,-2) lies on a circle with center
O. If the measure of angle AOB is 120 degrees, then what is the area of the
circle?
(A) 12π
(B) 24π
(C) 36π
(D) 48π
(E) 60π ANS:(D)
6. For any positive integer n, the sum of the first n positive integers equals
[(1+n)n]/2. What is the sum of all the even integers between 99 ans 300?
(A) 19,900
(B) 20,200
(C) 22,650
(D) 40,299
(E) 45,150 ANS:(A) 我算(B)
7. Running at their respective constant rates, machine A takes 2 days longer
to produce w appliances than machine B. At their rates, if the two machines
together produce 5/4w appliances in 3 days, how many days would it takes
machine A alone to produce 2w appliances?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 12 ANS:(E) 算出來數字不美
8. In town X, 64 percent of the population are employed, and 48 percent of the
population are employed males. What percent of the employed people in town
X are females?
(A) 16%
(B) 25%
(C) 32%
(D) 40%
(E) 52% AND:(B) 我算(A)
9. In a company, 50% of the male employees and 40% of the female employees are
at least 35 years old. If 42% of all the employees are at least35 years old
, what fraction of the employees in the company are females?
(A) 3/5
(B) 2/3
(C) 3/4
(D) 4/5
(E) 5/6 ANS:(D) 不太會算
10. 252^5 is divisible by 6^z. z is a positive integer.
Column A Column B
The greatest value 10
of Z. ANS: C
11. How many minutes does the minute hand of a clock take to meet the hour
hand from 8:00 to 9:00?
(A) 460/11
(B) 300/7
(C) 480/11
(D) 310/7
(E) 480/7 ANS:(C)
12. A positive integer n is said to be "prime-saturated" if the product of all
the different positive prime factors of n is less than the square root of
n. What is the greatest two-digit "prime-saturated" integer?
(A) 99
(B) 98
(C) 97
(D) 96
(E) 95 ANS:(D)
13. A photographer will arrange 6 people of 6 different heights for photograph
by placing them in two rows of three so that each person in the first row
is standing in front of someone in the second row. The heights of the
people within each row must increase from left to right, and each person
in the second row must be taller than the person standing in front of him
or her. How many such arrangement of 6 people are possible?
(A) 5
(B) 6
(C) 9
(D) 24
(E) 36 ANS:(A) 這題沒有公式，純粹土法煉鋼找出五種方式嗎？
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