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

It is currently 09 Dec 2019, 18:41

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 ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59622
Is ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0  [#permalink]

Show Tags

New post 27 Nov 2019, 01:46
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:11) correct 38% (01:01) wrong based on 39 sessions

HideShow timer Statistics

Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8289
Re: Is ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0  [#permalink]

Show Tags

New post 27 Nov 2019, 03:34
Is \(ab > 0\)? Are a and b of SAME sign?

(1) \(\frac{1}{a}<1\)
a could be any integer except 1 and 0, so a can be positive or negative.

(2) \(b^3c^2>0\)
c^2 will always be positive, so b is positive.
Nothing about a

Combined
b>0, but a could be anything

E
_________________
Intern
Intern
avatar
B
Joined: 02 Jul 2019
Posts: 12
Re: Is ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0  [#permalink]

Show Tags

New post 04 Dec 2019, 05:12
chetan2u wrote:
Is \(ab > 0\)? Are a and b of SAME sign?

(1) \(\frac{1}{a}<1\)
a could be any integer except 1 and 0, so a can be positive or negative.

(2) \(b^3c^2>0\)
c^2 will always be positive, so b is positive.
Nothing about a

Combined
b>0, but a could be anything

E

Hello chetan2u,

please help me understand below query :

if 1/a< 1 , then doesnt that mean a>1 ? When we cross multiply?

And if a>1 and b>0, then even if they are fractions, the result of ab should always be gretaer than 0?

Thank you
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8289
Re: Is ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0  [#permalink]

Show Tags

New post 04 Dec 2019, 05:47
Rishbha wrote:
chetan2u wrote:
Is \(ab > 0\)? Are a and b of SAME sign?

(1) \(\frac{1}{a}<1\)
a could be any integer except 1 and 0, so a can be positive or negative.

(2) \(b^3c^2>0\)
c^2 will always be positive, so b is positive.
Nothing about a

Combined
b>0, but a could be anything

E

Hello chetan2u,

please help me understand below query :

if 1/a< 1 , then doesnt that mean a>1 ? When we cross multiply?

And if a>1 and b>0, then even if they are fractions, the result of ab should always be gretaer than 0?

Thank you


No it doesn’t mean a>1 as you do not know the sign of a.
Say a=-2, then 1/(-2)<1 does not mean 1<1*(-2).
Yes a>1 and b>0 will always give you ab>0, but you can say anything about a
_________________
Intern
Intern
avatar
B
Joined: 02 Jul 2019
Posts: 12
Re: Is ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0  [#permalink]

Show Tags

New post 04 Dec 2019, 07:50
chetan2u wrote:
Rishbha wrote:
chetan2u wrote:
Is \(ab > 0\)? Are a and b of SAME sign?

(1) \(\frac{1}{a}<1\)
a could be any integer except 1 and 0, so a can be positive or negative.

(2) \(b^3c^2>0\)
c^2 will always be positive, so b is positive.
Nothing about a

Combined
b>0, but a could be anything

E

Hello chetan2u,

please help me understand below query :

if 1/a< 1 , then doesnt that mean a>1 ? When we cross multiply?

And if a>1 and b>0, then even if they are fractions, the result of ab should always be gretaer than 0?

Thank you


No it doesn’t mean a>1 as you do not know the sign of a.
Say a=-2, then 1/(-2)<1 does not mean 1<1*(-2).
Yes a>1 and b>0 will always give you ab>0, but you can say anything about a



Thank you so much, I understand it now.
GMAT Club Bot
Re: Is ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0   [#permalink] 04 Dec 2019, 07:50
Display posts from previous: Sort by

Is ab > 0? (1) 1/a < 1 (2) b^3c^2 > 0

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





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