If p is an integer greater than 1, such that p divided by 4 yields a remainder of 0, which of the following could be a prime number?
a) p/4
b) 2 radical p
c) p/3
d) p
e) 2p

Question

If p is an integer greater than 1, such that p divided by 4 yields a remainder of 0, which of the following could be a prime number? 
a) p/4
b) 2 radical p
c) p/3
d) p
e) 2p

anonymous · Answer

It's not e.
Otherwise the number would be divisible by 2 -> not prime
It can't be A.
The answer is C because P must be even (divided by 4) while prime numbers must be odd. C is the only answer that divides by an odd term, which is necessary to arrive at a prime number.
For example, 12/4 = 3
3 is greater than one and prime. The question indicates only one answer is correct. Thus, C.

anonymous · Answer

Thanks so much!!