How can i solve this problem without the picking numbers strategy:
If "p" is a positive integer, what is the value of "p"?
1) p/4 is a prime number
2) p is divisible by 3
Number properties problem - No picking numbers strategy
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Not sure why picking numbers is bad here.
here it goes
Stmt I
p/4 = prime so p = 4 * prime
There are several primes so p could be anything
INSUFF
Stmt II
p is divisible by 3
there are many multiples of 3 so p cpuld be any postive multiple of 3
INSUFF
Stmt I and II together
p = 4*prime
p divisible by 3
i.e 4 * primenumber divisible by 3
4 is not divisisble by 3 so the prime number must be divisible by 3. This prime number has to be 3 and p=12 since by definition of prime number only that number and 1 can be its factors.
One defnite answer
Choose C)
Whats the OA(OFFICIAL ANSWER)?
here it goes
Stmt I
p/4 = prime so p = 4 * prime
There are several primes so p could be anything
INSUFF
Stmt II
p is divisible by 3
there are many multiples of 3 so p cpuld be any postive multiple of 3
INSUFF
Stmt I and II together
p = 4*prime
p divisible by 3
i.e 4 * primenumber divisible by 3
4 is not divisisble by 3 so the prime number must be divisible by 3. This prime number has to be 3 and p=12 since by definition of prime number only that number and 1 can be its factors.
One defnite answer
Choose C)
Whats the OA(OFFICIAL ANSWER)?