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If x and y are positive integers such that (x + y) < 10, then which of

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If x and y are positive integers such that (x + y) < 10, then which of [#permalink]

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New post 06 Mar 2018, 21:52
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E

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Re: If x and y are positive integers such that (x + y) < 10, then which of [#permalink]

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New post 06 Mar 2018, 21:53
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



9. Inequalities



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Re: If x and y are positive integers such that (x + y) < 10, then which of [#permalink]

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New post 07 Mar 2018, 10:38
1
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

Answer: E
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Re: If x and y are positive integers such that (x + y) < 10, then which of [#permalink]

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New post 07 Mar 2018, 11:29
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

Answer: E


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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Re: If x and y are positive integers such that (x + y) < 10, then which of [#permalink]

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New post 07 Mar 2018, 11:42
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

Answer: E


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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