[jsloan01]

Hello,

I recently did a CAT exam. I missed a few questions on Math and, unfortunately, there is no explanation for the solution. I hoped the wizards here could please help. I would love to hear how you would solve any of these problems

1. For every positive even integer n, the function h(n) is defined to be the product of all even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) +1, then p is

A. b/n 2 and 10
B. b/n 10 and 20
C. b/n 20 and 30
D. b/n 30 and 40
E. Greater than 40

2. If x <> 0, then square root (x^2) / x =

A. -1
B. 0
C. 1
D. x
E. abs(x)/x

I thought it was c, but no dice

3. For which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b
A. f(x) = x^2
B. f(x) = x +1
C. f(x) = sqr (x)
D. f(x) = 2/x
E. f(x) = -3x

Thank you kindly