Last visit was: 22 Nov 2024, 17:52 It is currently 22 Nov 2024, 17:52

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36355 [3]
Given Kudos: 25927
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [1]
Given Kudos: 136
Send PM
Retired Moderator
Joined: 28 Sep 2020
Posts: 136
Own Kudos [?]: 114 [0]
Given Kudos: 2
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [1]
Given Kudos: 136
Send PM
If n is an integer greater than 1, and n is not a prime number, then w [#permalink]
1
alsafaj wrote:
GreenlightTestPrep wrote:
Carcass wrote:
If n is an integer greater than 1, and n is not a prime number, then which of the following must be true?

(A) n is the sum of three prime numbers
(B) n is the difference between 2 even numbers
(C) n is the difference between one even number and one odd number
(D) n is the product of one even number and one odd number
(E) n is the product of prime numbers

Key Property #1: If n is an integer greater than 1, then EITHER n is a prime number, OR n is a composite number.
Key Property #2: All composite integers can be expressed as the product of prime numbers.


Since we're told integer n is NOT a prime number, we know that n must be a composite number, which means n can be expressed as the product of prime number.

Answer: E


Why is (A) and (D) are incorrect?


The key words in this question are "must be true."
So, for example, if we can show that an answer choice is not necessarily true, then we can eliminate that answer choice.

For example, if n = 4, n cannot be the sum of three prime numbers. Eliminate A.
Similarly, if n = 4, and cannot be the product of one even number and one odd number. Eliminate D.

Does that help?
Retired Moderator
Joined: 28 Sep 2020
Posts: 136
Own Kudos [?]: 114 [1]
Given Kudos: 2
Send PM
Re: If n is an integer greater than 1, and n is not a prime number, then w [#permalink]
1
Thanks for your reply, but I still struggle to justify.

The question already specified that n is not a prime number, so why would we hypothesize that n=2 and n cannot be 2 which is a prime number? likewise on n=3.

Thanks to clarify further!
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [1]
Given Kudos: 136
Send PM
Re: If n is an integer greater than 1, and n is not a prime number, then w [#permalink]
1
alsafaj wrote:
Thanks for your reply, but I still struggle to justify.

The question already specified that n is not a prime number, so why would we hypothesize that n=2 and n cannot be 2 which is a prime number? likewise on n=3.

Thanks to clarify further!

My bad. I somehow missed the "n is not a prime number" part.
I have edited my response above (using n = 4)

See what you think
Retired Moderator
Joined: 28 Sep 2020
Posts: 136
Own Kudos [?]: 114 [0]
Given Kudos: 2
Send PM
Re: If n is an integer greater than 1, and n is not a prime number, then w [#permalink]
GreenlightTestPrep wrote:
alsafaj wrote:
Thanks for your reply, but I still struggle to justify.

The question already specified that n is not a prime number, so why would we hypothesize that n=2 and n cannot be 2 which is a prime number? likewise on n=3.

Thanks to clarify further!

My bad. I somehow missed the "n is not a prime number" part.
I have edited my response above (using n = 4)

See what you think


It is clear now. Thank you.
Prep Club for GRE Bot
Re: If n is an integer greater than 1, and n is not a prime number, then w [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne