P and Q are prime numbers and M,N are integers. PQ is a factor of MP+NQ. Which of the following must be true?
1) P is a factor of N
2) Q^2 is a factor of MP
3) P^2 is a factor of NQ
P.S None of the above is also an answer option
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
78) Prime and Factor
This topic has expert replies
-
kstv
- Legendary Member
- Posts: 610
- Joined: Fri Jan 15, 2010 12:33 am
- Thanked: 47 times
- Followed by:2 members
P and Q are prime nos
M and N are integers
MP + NQ has a factor PQ
only if M= Qa and N = Pb where a and b are constant
then MP+NQ = Qa*P+Pb*Q = PQ(a+b)
1) N= Pb so P is a necessarily a factor of N.
2) Possible but not necessary
3) Possible but not necessary
M and N are integers
MP + NQ has a factor PQ
only if M= Qa and N = Pb where a and b are constant
then MP+NQ = Qa*P+Pb*Q = PQ(a+b)
1) N= Pb so P is a necessarily a factor of N.
2) Possible but not necessary
3) Possible but not necessary
