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Bunuel
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Can the positive integer q be written as the sum of three different 10 Dec 2017, 01:22
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C
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65% (hard)

Question Stats:

48% (01:31) correct 52% (01:34) wrong based on 129 sessions

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Can the positive integer q be written as the sum of three different positive prime numbers?

(1) q is less than 11.
(2) q is odd.
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C
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Bunuel
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Can the positive integer q be written as the sum of three different 10 Dec 2017, 01:24
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Bunuel
Can the positive integer q be written as the sum of three different positive prime numbers?

(1) q is less than 11.
(2) q is odd.
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Similar questions:

https://gmatclub.com/forum/can-the-posi ... 67422.html (OG)
https://gmatclub.com/forum/if-n-is-a-po ... 65942.html (Kaplan)
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Can the positive integer q be written as the sum of three different 10 Dec 2017, 05:11
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Bunuel
Can the positive integer q be written as the sum of three different positive prime numbers?

(1) q is less than 11.
(2) q is odd.
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Primes list {2,3,5,7,11...}

(1) q is less than 11. Then q = {2,3,5} = 10 < 11 = sum of three different primes; or, q = {2,3,"4"} = not all primes, not suf.
(2) q is odd. Then q = odd = {3,5,7} = sum of three different primes; so "yes it can"; or, q = odd = {5,7,"9"} = not all primes, not suf.
(3) q = odd < 11. The smallest possible sum of three different primes < 11 is {2,3,5} = 10 which is not an odd, so sufficient.

(C) is the answer.
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Can the positive integer q be written as the sum of three different 27 May 2019, 06:59
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Bunuel
Can the positive integer q be written as the sum of three different positive prime numbers?

(1) q is less than 11.
(2) q is odd.
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I don't understand why the answer wouldn't be E. In both statements, Q could be equal to 1 or 3 (odd number less than 11) and therefore you would not be able to write Q as the sum of three different positive prime numbers. What am I missing here? Thanks!
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Can the positive integer q be written as the sum of three different 27 May 2019, 07:17
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holbrot
Bunuel
Can the positive integer q be written as the sum of three different positive prime numbers?

(1) q is less than 11.
(2) q is odd.

I don't understand why the answer wouldn't be E. In both statements, Q could be equal to 1 or 3 (odd number less than 11) and therefore you would not be able to write Q as the sum of three different positive prime numbers. What am I missing here? Thanks!
Show more

When we combine the statements q can be 1, 3, 5, 7, or 9. None of them can be written as the sum of three different prime numbers. The least sum of three different prime numbers is 2 + 3 + 5 = 10. So, we have a definite NO answer to the question: whatever q is, 1, 3, 5, 7, or 9, it CANNOT be written as the sum of three different prime numbers.

Hope it helps.
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Can the positive integer q be written as the sum of three different 27 May 2019, 07:21
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holbrot
Bunuel
Can the positive integer q be written as the sum of three different positive prime numbers?

(1) q is less than 11.
(2) q is odd.

I don't understand why the answer wouldn't be E. In both statements, Q could be equal to 1 or 3 (odd number less than 11) and therefore you would not be able to write Q as the sum of three different positive prime numbers. What am I missing here? Thanks!

When we combine the statements q can be 1, 3, 5, 7, or 9. None of them can be written as the sum of three different prime numbers. The least sum of three different prime numbers is 2 + 3 + 5 = 10. So, we have a definite NO answer to the question: whatever q is, 1, 3, 5, 7, or 9, it CANNOT be written as the sum of three different prime numbers.

Hope it helps.
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Oh, careless mistake on my part! Thanks so much for clearing that up.
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Can the positive integer q be written as the sum of three different 27 May 2019, 12:22
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I have a question regarding the wording of the problem statement...

Using 'Can' may need a possibility...that is...if there is a scenario in which statement 1 is true, then A is sufficient. Similarly for Statement 2. On the basis of this principle, I marked D
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Can the positive integer q be written as the sum of three different 27 May 2019, 21:33
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abhi2707
I have a question regarding the wording of the problem statement...

Using 'Can' may need a possibility...that is...if there is a scenario in which statement 1 is true, then A is sufficient. Similarly for Statement 2. On the basis of this principle, I marked D
Show more

I explained this for a similar question here: https://gmatclub.com/forum/can-the-posi ... l#p1331151

Hope it helps.
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