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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If x and y are positive integers such that (x + y) < 10, then which of

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Math Expert V
Joined: 02 Sep 2009
Posts: 55668
If x and y are positive integers such that (x + y) < 10, then which of  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 74% (01:20) correct 26% (01:13) wrong based on 49 sessions

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If x and y are positive integers such that (x + y) < 10, then which of the following must be true?

A) x < 8

B) x > 3

C) x >y

D) x + y = 5

E) x - y <= 7

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Math Expert V
Joined: 02 Sep 2009
Posts: 55668
Re: If x and y are positive integers such that (x + y) < 10, then which of  [#permalink]

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SVP  V
Joined: 26 Mar 2013
Posts: 2231
Re: If x and y are positive integers such that (x + y) < 10, then which of  [#permalink]

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Bunuel wrote:
If x and y are positive integers such that (x + y) < 10, then which of the following must be true?

A) x < 8

B) x > 3

C) x >y

D) x + y = 5

E) x - y <= 7

Let x = 8 & y = 1 or x = 1 & y = 1................. (Both positive Integers)

A) x could be 8...........Eliminate

B) x could be 1...........Eliminate

C) x could equal y........Eliminate

D) From examples, it is not a must tha both equalt to 5......Eliminate

E) No need to check but for practice take the maximum integers possible when x = 8 & y = 1 or vice versa..It is always true

Manager  B
Joined: 26 Sep 2017
Posts: 96
Re: If x and y are positive integers such that (x + y) < 10, then which of  [#permalink]

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Mo2men wrote:
Bunuel wrote:
If x and y are positive integers such that (x + y) < 10, then which of the following must be true?

A) x < 8

B) x > 3

C) x >y

D) x + y = 5

E) x - y <= 7

Let x = 8 & y = 1 or x = 1 & y = 1................. (Both positive Integers)

A) x could be 8...........Eliminate

B) x could be 1...........Eliminate

C) x could equal y........Eliminate

D) From examples, it is not a must tha both equalt to 5......Eliminate

E) No need to check but for practice take the maximum integers possible when x = 8 & y = 1 or vice versa..It is always true

But according to E can also put x=10 y= 15
I.e. x-y = -15 and which satisfies x-y <=7
But it will not satisfy x+y <10 so ...
I think answer shuld be D...

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SVP  V
Joined: 26 Mar 2013
Posts: 2231
Re: If x and y are positive integers such that (x + y) < 10, then which of  [#permalink]

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viv007 wrote:
Mo2men wrote:

Let x = 8 & y = 1 or x = 1 & y = 1................. (Both positive Integers)

A) x could be 8...........Eliminate

B) x could be 1...........Eliminate

C) x could equal y........Eliminate

D) From examples, it is not a must tha both equalt to 5......Eliminate

E) No need to check but for practice take the maximum integers possible when x = 8 & y = 1 or vice versa..It is always true

But according to E can also put x=10 y= 15
I.e. x-y = -15 and which satisfies x-y <=7
But it will not satisfy x+y <10 so ...
I think answer shuld be D...

If the numbers do not satisfy the conditions, then is must be discarded.

Also, if there is an example that disprove any choice, so the choice is eliminated.

For D, you can choose many numbers to disprove, let x = 2 & y = 6...so x+y = 8 (NOT 5)......both stratify the conditions above x & y are +ve and x +y <10

I hope it helps you. Re: If x and y are positive integers such that (x + y) < 10, then which of   [#permalink] 07 Mar 2018, 11:42
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