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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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Ashgre wrote:
Hi Brent,

Thanks for the detailed explanation.

I was wondering if we can subtract 3/100 from both sides before we start calculating?

Regards
Ashwin


Yes, that a totally valid first step.

Cheers,
Brent
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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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My logic:

The first digit after decimal in Quantity A is 2, whereas in quantity B, its 4.

So, QB is greater.

Is this logic always valid?
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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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yes , it is.

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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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GreenlightTestPrep wrote:
Carcass wrote:
Quantity A
Quantity B
\(\frac{2}{10}+\frac{3}{100}+\frac{4}{1000}+\frac{5}{10,000}\)
\(\frac{4}{10}+\frac{3}{100}+\frac{2}{1,000}\)



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.


\(\frac{2}{10}+\frac{3}{100}+\frac{4}{1000}+\frac{5}{10,000} = 0.2 + 0.03 + 0.004 + 0.0005= 0.2345\)

\(\frac{4}{10}+\frac{3}{100}+\frac{2}{1,000}=0.4 + 0.03 + 0.002 = 0.432\)

We get:
QUANTITY A: 0.2345
QUANTITY B: 0.432

Answer: B

Cheers,
Brent


Hi Brent,

I started this question with removing the 3/100 from both sides and subtracting the numerators with the same denominators from QA and QB. So I was left with QA: 2/1000+5/10000 and QB: 2/10 so my answer was B. Will this strategy always work as well?
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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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JNeen wrote:

Hi Brent,

I started this question with removing the 3/100 from both sides and subtracting the numerators with the same denominators from QA and QB. So I was left with QA: 2/1000+5/10000 and QB: 2/10 so my answer was B. Will this strategy always work as well?


Nice approach!

The strategy of subtracting (or adding) the same value to both quantities will always be a useful strategy (in fact, it's a big part of the overall Matching Operations strategy shown below).
It's hard to say whether the strategy will always yield the correct answer for all questions similar to this, since there are many ways that we can change the question. However, at the very least, the Matching Operations strategy can certainly make QC questions easier to solve, and the strategy certainly won't yields incorrect answers.

I hope that helps.

HERE'S THE VIDEO ON MATCHING OPERATIONS
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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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GreenlightTestPrep wrote:
JNeen wrote:

Hi Brent,

I started this question with removing the 3/100 from both sides and subtracting the numerators with the same denominators from QA and QB. So I was left with QA: 2/1000+5/10000 and QB: 2/10 so my answer was B. Will this strategy always work as well?


Nice approach!

The strategy of subtracting (or adding) the same value to both quantities will always be a useful strategy (in fact, it's a big part of the overall Matching Operations strategy shown below).
It's hard to say whether the strategy will always yield the correct answer for all questions similar to this, since there are many ways that we can change the question. However, at the very least, the Matching Operations strategy can certainly make QC questions easier to solve, and the strategy certainly won't yields incorrect answers.

I hope that helps.

HERE'S THE VIDEO ON MATCHING OPERATIONS


It does. Thank you, Brent.
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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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Re: 2/10+3/100+4/1000+5/10000 [#permalink]
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