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If n is an integer greater than 1, and n is not a prime number, then w
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19 May 2022, 01:33
19 May 2022, 01:33
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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
(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
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: If n is an integer greater than 1, and n is not a prime number, then w
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19 May 2022, 04:55
19 May 2022, 04:55
1
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
(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
Re: If n is an integer greater than 1, and n is not a prime number, then w
[#permalink]
20 May 2022, 06:53
20 May 2022, 06:53
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
(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?
