GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2019, 08:39

### GMAT 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

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

Practice
Pays

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

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

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

### Show Tags

06 Mar 2018, 21:52
00:00

Difficulty:

25% (medium)

Question Stats:

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

### HideShow timer Statistics

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

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

### Show Tags

06 Mar 2018, 21:53
SVP
Joined: 26 Mar 2013
Posts: 2231
Re: If x and y are positive integers such that (x + y) < 10, then which of  [#permalink]

### Show Tags

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

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

### Show Tags

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

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...

Sent from my BND-AL10 using GMAT Club Forum mobile app
SVP
Joined: 26 Mar 2013
Posts: 2231
Re: If x and y are positive integers such that (x + y) < 10, then which of  [#permalink]

### Show Tags

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

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
Display posts from previous: Sort by

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

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