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Updated on: 31 Oct 2018, 22:01
Originally posted by GMATBusters on 31 Oct 2018, 09:49.
Last edited by Bunuel on 31 Oct 2018, 22:01, edited 1 time in total.
Last edited by Bunuel on 31 Oct 2018, 22:01, edited 1 time in total.
EDITED.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
95% (00:33) correct
5%
(00:41)
wrong
based on 165
sessions
History
Date
Time
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Not Attempted Yet
Is the positive integer p a prime number?
(1) p is odd.
(2) 2 < p < 17
(1) p is odd.
(2) 2 < p < 17
Gmat2Cracker
Joined: 30 Oct 2018
Last visit: 07 Jun 2020
Posts: 53
Given Kudos: 84
Location: India
Concentration: General Management, Entrepreneurship
Schools: IE '22 (A)
WE:Information Technology (Computer Software)
31 Oct 2018, 10:58
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1) can be any odd no -not suff
2) can be any no between 2 and 17. Like 3,4,5,6,7,9 etc
1 and 2 both combined is also not sufficient
Ans - (E)
Posted from my mobile device
2) can be any no between 2 and 17. Like 3,4,5,6,7,9 etc
1 and 2 both combined is also not sufficient
Ans - (E)
Posted from my mobile device
03 Mar 2020, 09:08
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GMATBusters
Is the positive integer p a prime number?
(1) p is odd.
(2) 2 < p < 17
(1) p is odd.
(2) 2 < p < 17
Target question: Is the positive integer p a prime number?
Statement 1: p is odd.
There are several values of p that satisfy statement 1. Here are two:
Case a: p = 3, in which case the answer to the target question is YES, p is prime
Case b: p = 9, in which case the answer to the target question is NO, p is not prime
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 2 < p < 17
Tip: If you feel that statement to is insufficient, see if you can RE-USE the same counter-examples be used for statement 1.
In this case, we CAN reuse those counterexamples, since they also satisfy statement 2:
Case a: p = 3, in which case the answer to the target question is YES, p is prime
Case b: p = 9, in which case the answer to the target question is NO, p is not prime
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Since I was able to use the same counter-examples to show that each statement ALONE is not sufficient. So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: p = 3, in which case the answer to the target question is YES, p is prime
Case b: p = 9, in which case the answer to the target question is NO, p is not prime
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
