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

It is currently 18 Oct 2018, 07:51

Booth R1 Calls in Progress:

Join us in the chat | track the decision tracker | See forum posts/summary


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

If a>2, is b<1?

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

Hide Tags

Intern
Intern
avatar
B
Joined: 22 Mar 2017
Posts: 15
If a>2, is b<1?  [#permalink]

Show Tags

New post Updated on: 07 Jun 2017, 20:58
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (01:38) correct 34% (01:52) wrong based on 130 sessions

HideShow timer Statistics

If a>2, is b<1?

(1) a·b<2

(2) a·b>0

Originally posted by Nathanlambson on 07 Jun 2017, 15:31.
Last edited by Bunuel on 07 Jun 2017, 20:58, edited 1 time in total.
Renamed the topic.
Director
Director
User avatar
P
Joined: 05 Mar 2015
Posts: 992
Re: If a>2, is b<1?  [#permalink]

Show Tags

New post 07 Jun 2017, 19:15
Nathanlambson wrote:
If a>2, is b<1?

(1) a·b<2

(2) a·b>0



(1) if a= 2.1
then b < 1
if a =3 then b<1
as a>2 then fraction 2/a is always<1

suff

(2) b is independent of a and can be any value >0
it may be 0.5 when a= 10 then b< 1----YES
or may be b=2 when a = 3 or any integer ...b>1 .-----NO

insuff

Ans A
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 3011
Location: Canada
Re: If a>2, is b<1?  [#permalink]

Show Tags

New post 08 Jun 2017, 09:07
Top Contributor
Nathanlambson wrote:
If a>2, is b<1?

(1) ab < 2

(2) ab>0


Target question: Is b < 1?

Given: a > 2

Statement 1: ab < 2
Since we're told that a > 2, we know that a is POSITIVE, which means we can safely divide both sides of the inequality by a.
When we do this we get: b < 2/a
Since a > 2, we know that the fraction's denominator is greater its numerator, which means 2/a must be less than 1
So, 2/a < 1
Since b < 2/a, we get: b < 2/a < 1
In other words, b < 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: ab > 0
Let's TEST some numbers.
There are several values of a and b that satisfy statement 2. Here are two:
Case a: a = 3 and b = 2, in which case b > 1
Case b: a = 3 and b = 0.1, in which case b < 1
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer:

RELATED VIDEO

_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 625
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: If a>2, is b<1?  [#permalink]

Show Tags

New post 08 Jun 2017, 09:14
Answer would be A
(1) is sufficient

If a >2
Then a.b<2 is possible only when b<1

(2) is not sufficient
If a>2 and
a.b>0
Using two values of b
b=1/2 and b=3/2

a.b>0 stands for both the values and hence not sufficient


Sent from my iPhone using GMAT Club Forum
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Intern
Intern
User avatar
B
Joined: 19 Mar 2016
Posts: 36
Location: India
Concentration: Leadership, Strategy
GMAT 1: 630 Q49 V27
GMAT 2: 730 Q49 V40
GPA: 4
WE: Engineering (Consumer Electronics)
GMAT ToolKit User
Re: If a>2, is b<1?  [#permalink]

Show Tags

New post 10 Jun 2017, 23:11
statement1:
a-b<2
b>a-2
b>=3-2 (as a>2)
b>=1 sufficient

statement2:
a-b>0
b<a
b<=3 (as a>2)
not sufficient
_________________

Please correct me in case I'm wrong; consider giving kudos, otherwise.

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If a>2, is b<1?  [#permalink]

Show Tags

New post 06 Jul 2017, 17:07
Nathanlambson wrote:
If a>2, is b<1?

(1) a·b<2

(2) a·b>0


We are given that a > 2 and need to determine whether b < 1.

Statement One Alone:

a·b < 2

Let’s divide each side by a. Note that since a > 2, a is positive, and so the inequality sign will not be reversed:

b < 2/a

2/a is a fraction in which the denominator is greater than the numerator. Thus, 2/a < 1 and b < 2/a < 1.
Statement one is sufficient to answer the question.

Statement Two Alone:

a·b > 0

The information in statement two is not sufficient to answer the question. For example, if a = 3 and b = 1/2, then b is less than 1; however, if a = 3 and b = 3, then b is not less than 1.

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
User avatar
B
Joined: 12 Aug 2016
Posts: 7
Re: If a>2, is b<1?  [#permalink]

Show Tags

New post 19 Oct 2017, 13:44
GMATPrepNow wrote:
Nathanlambson wrote:
If a>2, is b<1?

Statement 1: ab < 2
Since we're told that a > 2, we know that a is POSITIVE, which means we can safely divide both sides of the inequality by a.
When we do this we get: b < 2/a
Since a > 2, we know that the fraction's denominator is greater its numerator, which means 2/a must be less than 1
So, 2/a < 1
Since b < 2/a, we get: b < 2/a < 1
In other words, b < 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT



Hi Brent,

Can we not use a similar approach on Statement 2?

Statement 2: ab > 0
Since we're told that a > 2, we know that a is POSITIVE, which means we can safely divide both sides of the inequality by a.
When we do this we get: b > 0

Since we cannot answer the target question with certainty, statement 2 is INSUFFICIENT
GMAT Club Bot
Re: If a>2, is b<1? &nbs [#permalink] 19 Oct 2017, 13:44
Display posts from previous: Sort by

If a>2, is b<1?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.