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

It is currently 17 Oct 2019, 00:55

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Is x>1? 1) 1/x<1 2)x>0

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
P
Joined: 15 Feb 2018
Posts: 365
Premium Member
Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 14 Dec 2018, 17:13
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (01:01) correct 40% (00:44) wrong based on 73 sessions

HideShow timer Statistics

Is \(x>1\)?
1) \(\frac{1}{x}<1\)
2) \(x>0\)
Intern
Intern
avatar
B
Joined: 14 Dec 2018
Posts: 5
Re: Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 14 Dec 2018, 22:51
1
1) 1/X<1 -> 1/X could be positive or negative. If 1/X is negative, X is negative. And if 1/X is positive and minus than 1, X is major than 1. So (1) is insufficient.

2) X>0 -> X could be minus or major than 1. So (2) insufficient.

(1)+(2) if x>0, so 1/x>0. Finally 0<1/X<1, then 1/X>1
Both together are sufficient.

Answer (C)

Posted from my mobile device
Senior Manager
Senior Manager
User avatar
P
Joined: 15 Feb 2018
Posts: 365
Premium Member
Re: Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 14 Dec 2018, 23:44
carlosesg92, just to clear up your terminology

x>y
x is greater than y

x<y
x is less than y
Manager
Manager
User avatar
S
Joined: 08 Sep 2008
Posts: 136
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE: Operations (Transportation)
Re: Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 15 Dec 2018, 01:14
1
St:1
1/x < 1
If x positive then yes
If x negative then no.
Not sufficient.

St:2
X >0
X positive greater than 1.. if x=2 then yes
If x is 0.5 then no
Not sufficient.

Combine: x is positive the we can cross multiply
Statement 1.
1/x< 1
1<x sufficient.
C.
_________________
Regards;
Vishal

+==========+
Kudos if it deserve....one...
Senior Manager
Senior Manager
User avatar
P
Joined: 15 Feb 2018
Posts: 365
Premium Member
Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 15 Dec 2018, 13:10
The explanations above show statement 2 and the statements together clearly enough.
But for statement 1 both just say 'if positive yes, if negative no', but don't really prove it. Someone please properly explain it.
Manager
Manager
User avatar
S
Joined: 08 Sep 2008
Posts: 136
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE: Operations (Transportation)
Re: Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 15 Dec 2018, 20:36
St:1
If x positive suppose 2,
1/x = 1/2= 0.5 suffice 1/x <1
And x>1 answer yes

If x is negative suppose -2
1/x = -1/2= -0.5 suffice 1/x<1
Ans x <1 answer no

So st 1 not sufficient.
_________________
Regards;
Vishal

+==========+
Kudos if it deserve....one...
Senior Manager
Senior Manager
User avatar
P
Joined: 15 Feb 2018
Posts: 365
Premium Member
Re: Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 17 Dec 2018, 13:11
Again, the above is an example, but does not in general prove.
Manager
Manager
avatar
S
Joined: 12 Apr 2017
Posts: 139
Location: United States
Concentration: Finance, Operations
GPA: 3.1
CAT Tests
Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 17 Dec 2018, 13:32
Is x>1?

1) 1/x<1
x can equal -100 or 100, so insufficient
-100 > 1, Not true
100 > 1, True


2) x>0

x can equal .001 or 100,

.001 > 1, Not true
100 > 1, true

Combine, this is where it can get tricky, when you combine both statement, "X" has to be greater than 1, because if test 1 and plug back into statement 1, it reads as

1/1<1 or 1<1, which is not true. As such, when combined x is always > 1, sufficient

Answer D
GMAT Tutor
User avatar
B
Joined: 07 Nov 2016
Posts: 56
GMAT 1: 760 Q51 V42
Re: Is x>1? 1) 1/x<1 2)x>0  [#permalink]

Show Tags

New post 17 Dec 2018, 20:59
1
Is x > 1 ?

St 1 : (1/x) < 1

(1/x) - 1 < 0
(1-x)/x < 0
(x-1)/x > 0

x > 1 or x < 0

x > 1 Yes
x < 0 No

Not Sufficient

St 2 : x > 0
x = 2 Yes
x = 0.5 No
Not Sufficient

St 1 + St 2
x > 1
Sufficient
Choice C
_________________
Please contact me at ksrutisagar@gmail.com
GMAT Club Bot
Re: Is x>1? 1) 1/x<1 2)x>0   [#permalink] 17 Dec 2018, 20:59
Display posts from previous: Sort by

Is x>1? 1) 1/x<1 2)x>0

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





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