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alphonsa
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Is the positive integer P prime? Updated on: 15 Aug 2014, 08:51
Originally posted by alphonsa on 15 Aug 2014, 08:12.
Last edited by Bunuel on 15 Aug 2014, 08:51, edited 1 time in total.
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Is the positive integer P prime?

(1) 61<P<67

(2) P is not divisible by 2


Source: 4gMat
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Is the positive integer P prime? 15 Aug 2014, 08:55
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Is the positive integer P prime?

(1) 61<P<67. In this range there are no primes. So, p is not prime. Sufficient.

(2) P is not divisible by 2. If p = 9, then the answer is NO but if p = 3, then the answer is YES. Not sufficient.

Answer: A.
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Is the positive integer P prime? 27 Jun 2019, 07:07
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alphonsa
Is the positive integer P prime?

(1) 61<P<67

(2) P is not divisible by 2


Source: 4gMat
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#2

P can be 7 (Prime) or 9 (Not Prime)

#1
All/Any Integers between (61,67) is not prime. Sufficient. A



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Is the positive integer P prime? 28 Jun 2019, 08:13
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Any positive integer, greater than 1, which has exactly 2 positive factors – 1 and itself – is known as a prime number. Except 2, all the other prime numbers are odd.
For more information on Primes, have a look at our post on Prime numbers.

https://gmatclub.com/forum/prime-numbers-properties-applications-295781.html#p2275532

You need to be very clear about the expected answers in this question. For example, if P = 7, you would answer this question with a YES and if P = 15, you would answer it with a NO.
So, a NO is equally good as an answer.

From the question data and data from statement I alone, P can be 62 or 63 or 64 or 65 or 66. None of these numbers are prime. So, regardless of what the value of P is, you’ll answer the question with a NO.
So, statement I alone is sufficient. The possible answer options are A or D. Options B, C and E can be eliminated.

From the question data and data given in statement II, we can conclude that P is an odd number. But, every odd number is not prime. So, we cannot say conclusively whether P is always prime or composite.
Statement II alone is insufficient. Option D can be eliminated.

The correct answer option is A.

Hope this helps!
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Is the positive integer P prime? 26 Sep 2025, 05:16
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