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n = 105.873

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n = 105.873 [#permalink]  06 Jul 2018, 09:12
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Question Stats:

95% (00:22) correct 4% (00:00) wrong based on 24 sessions
$$n = 105.873$$

 Quantity A Quantity B $$\frac{n * 10^3}{10^5}$$ $$1$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: n = 105.873 [#permalink]  07 Jul 2018, 05:55
Carcass wrote:
$$n = 105.873$$

 Quantity A Quantity B $$\frac{n * 10^3}{10^5}$$ $$1$$

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

Here,
We can write $$\frac{n * 10^3}{10^5} = \frac{n}{10^2} = \frac{105.873}{10^2} = 1.05873$$

SO QTY A > QTY B
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Re: n = 105.873 [#permalink]  07 Jun 2019, 08:55
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Expert's post
Carcass wrote:
$$n = 105.873$$

 Quantity A Quantity B $$\frac{n * 10^3}{10^5}$$ $$1$$

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

Let's first see what needs to happen for the two quantities to be EQUAL

That is, we want $$\frac{n * 10^3}{10^5}$$ and $$1$$ to be EQUAL

We get: $$\frac{n * 10^3}{10^5}=1$$

Multiply both sides by $$10^5$$ to get: $$(n)(10^3)=10^5$$

Divide both sides by $$10^3$$ to get: $$(n)=\frac{10^5}{10^3}=10^2=100$$

So, if n equals 100, then the two quantities are EQUAL

Since n actually equals 105.873, we know that Quantity A must be greater than Quantity B

Cheers,
Brent
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Re: n = 105.873   [#permalink] 07 Jun 2019, 08:55
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