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Joined: 20 Feb 2017
Posts: 2508
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If x and y are positive integers greater than 1 such that x – y and x/
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03 Apr 2021, 00:55
03 Apr 2021, 00:55
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If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I, II and III
I. x
II. x + y
III. y/x
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I, II and III
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If x and y are positive integers greater than 1 such that x – y and x/
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04 Apr 2021, 01:13
04 Apr 2021, 01:13
1
GeminiHeat wrote:
If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I, II and III
I. x
II. x + y
III. y/x
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I, II and III
If \(x - y = even\) and \(\frac{x}{y} = even\), both \(x\) and \(y\) must be even integers greater than \(2\)
I: \(x\) is non-prime - YES
\(x > 2\) and an even number, since it is an even greater than \(2\) it will have more than two factors
II: \(x + y\) is non-prime - YES
Since the sum is an even greater than \(2\) it will have more than two factors
III: y/x is non prime - NO
We cannot say!
Example: \(x = 4\) and \(y = 8\), so \(\frac{y}{x} = 2\) which is a prime
Hence, option D
gmatclubot
If x and y are positive integers greater than 1 such that x – y and x/ [#permalink]
04 Apr 2021, 01:13
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