1. For every even integer n, the function h(n) is defined as the product of all even integers from 2 to n inclusived. If p is the smallest prime fact of h(100) + 1, then p is:

A. Between 2 and 10
B. Between 10 and 20
C. Between 20 and 30
D. Between 30 and 40
E. Greater than 40

2. All stock at the over-the-counter market are designated by 4 or 5-letter stock codes created using the 26 letters of the alphabet. Which of the following gives the maximum number of different stock items that can be designated using these codes:

A. 2(26^5)
B. 26(26^4)
C. 27(26^4)
D. 26(26^5)
E. 27(26^5)

3. The number of stamps that Kaye and Alberto have are in the ratio of 5:3. Kaye gives Alberto 10 stamps, resulting in the new ratio of 7:5. As a result of this gift, how many more stamps does Kaye have than Alberto?

A. 20
B. 30
C. 40.
D. 60
E. 90

OA:
1. E
2. C
3. C

Any help on methods for solving these would be greatly appreciated.