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a > 0 [#permalink] New post 08 Sep 2018, 23:57
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Question Stats:

81% (00:23) correct 18% (00:27) wrong based on 37 sessions
\(a > 0\)

Quantity A
Quantity B
\(5ab\)
\(10ab\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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Re: a > 0 [#permalink] New post 09 Sep 2018, 06:53
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Expert's post
Carcass wrote:
\(a > 0\)

Quantity A
Quantity B
\(5ab\)
\(10ab\)



We can solve this question using matching operations

Given:
Quantity A: 5ab
Quantity B: 10ab

Since a is POSITIVE, we can safely divide both quantities by a to get:
Quantity A: 5b
Quantity B: 10b

We can also safely divide both quantities by 5 to get:
Quantity A: b
Quantity B: 2b

Finally, let's subtract b from both quantities to get:
Quantity A: 0
Quantity B: b

Since b could be positive, negative or zero, the correct answer is D


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Re: a > 0 [#permalink] New post 09 Sep 2018, 07:50
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ab or 5 ab (simplified), which one is greatest ??

we do not have any information about b. The two statements are not sufficient to determine which one is the biggest.

The answer is D


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Re: a > 0 [#permalink] New post 10 Sep 2018, 09:07
B can be any value, so the answer is D
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Re: a > 0 [#permalink] New post 17 Nov 2019, 19:21
I think the answer is B. We do not need the value of b as it can be cancelled out. Since b is on both sides whatever it’s value is it will cancel out. Leaving the side B greater than A.

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Re: a > 0 [#permalink] New post 18 Nov 2019, 05:35
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qamarsabir wrote:
I think the answer is B. We do not need the value of b as it can be cancelled out. Since b is on both sides whatever it’s value is it will cancel out. Leaving the side B greater than A.

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When we talk about "cancelling out" variables, we must be clear what we're actually doing.
To get "cancel out" the variable b, we need to divide both quantities by b.
However, since we don't know whether b is positive, negative or zero, we can't just divide both quantities by b.

For example, if b = 0, then the two quantities are equal.
If b = -1, then quantity A is greater
And, if b = 1, then quantity B is greater

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Re: a > 0   [#permalink] 18 Nov 2019, 05:35
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