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Moderator  Joined: 18 Apr 2015
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If b is different form zero and a/b = zero [#permalink]
Expert's post 00:00

Question Stats: 46% (00:41) correct 53% (00:29) wrong based on 28 sessions
If $$b \neq 0$$ and $$\frac{a}{b} > 0$$ , which of the following inequalities must be true ?

Indicate all such inequalities

A. $$a > b$$

B. $$b > 0$$

C. $$ab > 0$$

Kudos for R.A.E
[Reveal] Spoiler: OA

_________________ Manager  Joined: 06 Jun 2018
Posts: 94
Followers: 0

Kudos [?]: 58  , given: 0

Re: If b is different form zero and a/b = zero [#permalink]
1
KUDOS
Carcass wrote:
If $$b \neq 0$$ and $$\frac{a}{b} > 0$$ , which of the following inequalities must be true ?

Indicate all such inequalities

A. $$a > b$$

B. $$b > 0$$

C. $$ab > 0$$

Kudos for R.A.E

kindly , review the question. It seems to have a mistake in the question. If a/b = 0, the a has to be 0. In this case ab can be greater than 0. thanks.
Moderator  Joined: 18 Apr 2015
Posts: 5897
Followers: 96

Kudos [?]: 1154 , given: 5479

Re: If b is different form zero and a/b = zero [#permalink]
Expert's post
Fixed.

Thank you so much.
_________________ Manager  Joined: 06 Jun 2018
Posts: 94
Followers: 0

Kudos [?]: 58  , given: 0

Re: If b is different form zero and a/b = zero [#permalink]
1
KUDOS
Carcass wrote:
If $$b \neq 0$$ and $$\frac{a}{b} > 0$$ , which of the following inequalities must be true ?

Indicate all such inequalities

A. $$a > b$$

B. $$b > 0$$

C. $$ab > 0$$

Kudos for R.A.E

Given

$$\frac{a}{b} > 0$$

So, we can conclude that either a or b both are positive or both are negative.

In both cases ab> 0 .

The best answer is C. Manager Joined: 28 Nov 2017
Posts: 52
Followers: 1

Kudos [?]: 34  , given: 32

Re: If b is different form zero and a/b = zero [#permalink]
1
KUDOS
Answer would be only OPTION C

As A/B > 0 ; so this means that both 'a' & 'b' have the same sign ( Either both are Positive or Both are Negative )

so this guarantees that a*b > 0

Now we can't be sure that a > b as in case of Negative Numbers , A can never be Greater than B { It's only the Modulus of the Negative A that will be greater than the Mod of Negative B] Re: If b is different form zero and a/b = zero   [#permalink] 26 Jul 2018, 20:27
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