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Is the positive integer P a prime number?
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18 Aug 2014, 07:59
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47% (02:11) correct 53% (02:10) wrong based on 151 sessions
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Is the positive integer P a prime number? (1) (P+2) and (P+4) are prime (2) (P2) and (P4) are prime Source: 4Gmat
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Is the positive integer P a prime number?
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18 Aug 2014, 08:38
For Stat1 P can be equal to 3 and can be equal to 9. So not sufficient For STAT2 P can be equal to 7 and can be equal to 9. So not sufficient STAT1 and STAT2 together p4, p2,p, p+2, p+4 If P is prime then P must be odd (as only even prime is 2 and p4 will not be prime then) if p is odd then p cannot be prime as p4,p2,p,p+2,p+4 make a series of 5 consecutive odd numbers and NO pair of 5 consecutive odd numbers are prime So, p is NOT a prime number. So, Answer will be C Hope it helps!
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Re: Is the positive integer P a prime number?
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18 Aug 2014, 08:41
Is the positive integer P a prime number? (1) (P+2) and (P+4) are prime. If p = 1, then the answer is NO but if p = 3, then the answer is YES. Not sufficient. (2) (P2) and (P4) are prime. If p = 9, then the answer is NO but if p = 7, then the answer is YES. Not sufficient. (1)+(2) Since (P4), (P2), (P+2), and (P+4) are primes, then all of them must be odd numbers. This means that (P4), (P2), P, (P+2), and (P+4) are 5 consecutive odd numbers. Since there are no 5 consecutive odd primes, then P cannot be a prime ( out of 5 consecutive odd numbers one must be a multiple of 3 and another a multiple of 5. There are only one prime, which is a multiple of 3, 3 itself and there are only one prime, which is a multiple of 5, 5 itself but P can be neither 3 or 5 since this violate (P4), (P2), (P+2), and (P+4) being primes). Sufficient. Answer: C. Hope it's clear.
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Re: Is the positive integer P a prime number?
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18 Aug 2014, 08:43
nktdotgupta wrote: For Stat1 P can be equal to 2 and can be equal to 9. So not sufficient
For STAT2 P can be equal to 7 and can be equal to 9. So not sufficient
STAT1 and STAT2 together p4, p2,p, p+2, p+4 If P is prime then P must be odd (as only even prime is 2 and p4 will not be prime then) if p is odd then p cannot be prime as p4,p2,p,p+2,p+4 make a series of 5 consecutive odd numbers and NO pair of 5 consecutive odd numbers are prime
So, p is NOT a prime number. So, Answer will be C
Hope it helps! One little correction. P cannot be 2, since in this case neither P+2 nor P+4 is a prime.
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Re: Is the positive integer P a prime number?
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18 Aug 2014, 09:14
Thanks Bunuel, Wanted to write 3 (edited) Bunuel wrote: nktdotgupta wrote: For Stat1 P can be equal to 2 and can be equal to 9. So not sufficient
For STAT2 P can be equal to 7 and can be equal to 9. So not sufficient
STAT1 and STAT2 together p4, p2,p, p+2, p+4 If P is prime then P must be odd (as only even prime is 2 and p4 will not be prime then) if p is odd then p cannot be prime as p4,p2,p,p+2,p+4 make a series of 5 consecutive odd numbers and NO pair of 5 consecutive odd numbers are prime
So, p is NOT a prime number. So, Answer will be C
Hope it helps! One little correction. P cannot be 2, since in this case neither P+2 nor P+4 is a prime.
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Re: Is the positive integer P a prime number?
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25 Jul 2017, 19:21
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Re: Is the positive integer P a prime number?
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