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QOTD#28 Which of the following CANNOT be the sum of two
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13 Oct 2016, 14:01
13 Oct 2016, 14:01
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Question Stats:
56% (01:09) correct
43% (01:19) wrong based on 123 sessions
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Which of the following CANNOT be the sum of two prime integers?
A. 7
B. 19
C. 23
D. 31
E. 43
A. 7
B. 19
C. 23
D. 31
E. 43
Drill 2
Question: 2
Page: 286
Question: 2
Page: 286
Re: QOTD#28 Which of the following CANNOT be the sum of two
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13 Oct 2016, 14:04
13 Oct 2016, 14:04
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Explanation
Rather than listing out all of the prime numbers up to 43, stay focused on the unique number, 2, the only even prime number. All of the choices are odd, and two odd numbers would yield an even sum, so you’ll only be able to eliminate answers by adding 2 to an odd number. Each of the incorrect answers, therefore, is the sum of 2 and the previous prime number:
Choice A is 2 + 5;
choice B is 2 + 17;
choice D is 2 + 29; and
choice E is 2 + 41.
The answer is choice C.
Rather than listing out all of the prime numbers up to 43, stay focused on the unique number, 2, the only even prime number. All of the choices are odd, and two odd numbers would yield an even sum, so you’ll only be able to eliminate answers by adding 2 to an odd number. Each of the incorrect answers, therefore, is the sum of 2 and the previous prime number:
Choice A is 2 + 5;
choice B is 2 + 17;
choice D is 2 + 29; and
choice E is 2 + 41.
The answer is choice C.
Re: QOTD#28 Which of the following CANNOT be the sum of two
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05 Jul 2023, 07:47
05 Jul 2023, 07:47
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
