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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Is ab < 0? (1) a^4b^9c^2 < 0 (2) a(bc)^6 > 0

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Math Expert V
Joined: 02 Sep 2009
Posts: 61508
Is ab < 0? (1) a^4b^9c^2 < 0 (2) a(bc)^6 > 0  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 77% (01:03) correct 23% (01:35) wrong based on 47 sessions

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Is $$ab < 0$$?

(1) $$a^4b^9c^2 < 0$$

(2) $$a(bc)^6 > 0$$

_________________
Director  P
Joined: 25 Jul 2018
Posts: 573
Re: Is ab < 0? (1) a^4b^9c^2 < 0 (2) a(bc)^6 > 0  [#permalink]

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Is ab <0?

(Statement1):
$$a^{4}*b^{9}*c^{2} <0$$
—> we can simplify —> b <0

a can be positive or negative
Insufficient

Statement2): $$a(bc)^{6} > 0$$
—> we can simplify —> a > 0

b can be positive or negative
Insufficient

Taken together 1&2,
a > 0 and b <0
—> ab is always less than zero
(ab <0)

Sufficient

Posted from my mobile device
Manager  B
Joined: 05 Oct 2014
Posts: 141
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: Is ab < 0? (1) a^4b^9c^2 < 0 (2) a(bc)^6 > 0  [#permalink]

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lacktutor wrote:
Is ab <0?

(Statement1):
$$a^{4}*b^{9}*c^{2} <0$$
—> we can simplify —> b <0

a can be positive or negative
Insufficient

Statement2): $$a(bc)^{6} > 0$$
—> we can simplify —> a > 0

b can be positive or negative
Insufficient

Taken together 1&2,
a > 0 and b <0
—> ab is always less than zero
(ab <0)

Sufficient

Posted from my mobile device

Can you please explain why b <0 in (1) and a > 0 in (2) _________________
I DON'T FEAR FAILING, I FEAR NOT TRYING

PLEASE UPVOTE IF YOU LIKE MY EXPLANATIONS
Director  P
Joined: 25 Jul 2018
Posts: 573
Is ab < 0? (1) a^4b^9c^2 < 0 (2) a(bc)^6 > 0  [#permalink]

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1
merajul wrote:
lacktutor wrote:
Is ab <0?

(Statement1):
$$a^{4}*b^{9}*c^{2} <0$$
—> we can simplify —> b <0

a can be positive or negative
Insufficient

Statement2): $$a(bc)^{6} > 0$$
—> we can simplify —> a > 0

b can be positive or negative
Insufficient

Taken together 1&2,
a > 0 and b <0
—> ab is always less than zero
(ab <0)

Sufficient

Posted from my mobile device

Can you please explain why b <0 in (1) and a > 0 in (2) Hi,
—> Dividing (or Multiplying)the both sides by the same positive number does not change the sign of an inequality.
—> (Statement1): The exponents of ‘a’ and ‘c’ are even —>$$a^{4}$$ and $$c^{2}$$ are positive numbers.
—> you can divide both sides by both positive numbers, it does not change the sign and you’ll get b< 0.

The same as statement2
Hope it helps
Manager  B
Joined: 05 Oct 2014
Posts: 141
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: Is ab < 0? (1) a^4b^9c^2 < 0 (2) a(bc)^6 > 0  [#permalink]

### Show Tags

lacktutor wrote:
merajul wrote:
lacktutor wrote:
Is ab <0?

(Statement1):
$$a^{4}*b^{9}*c^{2} <0$$
—> we can simplify —> b <0

a can be positive or negative
Insufficient

Statement2): $$a(bc)^{6} > 0$$
—> we can simplify —> a > 0

b can be positive or negative
Insufficient

Taken together 1&2,
a > 0 and b <0
—> ab is always less than zero
(ab <0)

Sufficient

Posted from my mobile device

Can you please explain why b <0 in (1) and a > 0 in (2) Hi,
—> Dividing (or Multiplying)the both sides by the same positive number does not change the sign of an inequality.
—> (Statement1): The exponents of ‘a’ and ‘c’ are even —>$$a^{4}$$ and $$c^{2}$$ are positive numbers.
—> you can divide both sides by both positive numbers, it does not change the sign and you’ll get b< 0.

The same as statement2
Hope it helps

Ah!!! now able to understand. Thank You
_________________
I DON'T FEAR FAILING, I FEAR NOT TRYING

PLEASE UPVOTE IF YOU LIKE MY EXPLANATIONS Re: Is ab < 0? (1) a^4b^9c^2 < 0 (2) a(bc)^6 > 0   [#permalink] 25 Nov 2019, 10:18
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