1.For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1, then p is
- between 2 and 10
- between 10 and 20
- between 20 and 30
- between 30 and 40
- greater than 40
Key:E
2.Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one’s annual income to the average (arithmetic mean) of 100 units of Country R’s currency and 1 percent of one’s annual income. Which of the following represents the simplified formula for computing the income tax, in Country R’s currency, for a person in that country whose annual income is I?
- 50+I/200
- 50+3I/100
- 50+I/40
- 100+I/50
- 100+3I/100
Key: C
3.Each employee of Company Z is an employee of either Division X or Division Y, but not both. If each division has some part-time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z?
(1) The ratio of the number of full-time employees to the number of part-time employees is less for Division Y than for Company Z.
(2) More than half the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y.
Key: D
.
4.Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows?
(1) the farm has more than twice as many cows at it has pigs.
(2) The farm has more than 12 pigs
Key: C
疑问:条件(1)怎样用算式表示呢? P=2C or P-2C=C. 记得小学时候老师经常强调A比B多N倍实际上是A是B的(N+1)倍,不知用英语表达意思也是一样呢? |