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

 It is currently 09 Dec 2019, 18:41

### 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

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

Author Message
TAGS:

### Hide Tags

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

### Show Tags

27 Nov 2019, 01:46
00:00

Difficulty:

45% (medium)

Question Stats:

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

### HideShow timer Statistics

Is $$ab > 0$$?

(1) $$\frac{1}{a}<1$$

(2) $$b^3c^2>0$$

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

### Show Tags

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.

Combined
b>0, but a could be anything

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

### Show Tags

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.

Combined
b>0, but a could be anything

E

Hello chetan2u,

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

### Show Tags

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.

Combined
b>0, but a could be anything

E

Hello chetan2u,

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

### Show Tags

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.

Combined
b>0, but a could be anything

E

Hello chetan2u,

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.
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