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2/10+3/100+4/1000+5/10000

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Carcass
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2/10+3/100+4/1000+5/10000 [#permalink] New post   01 Apr 2019, 04:11
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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.
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B
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Re: 2/10+3/100+4/1000+5/10000 [#permalink] New post   01 Apr 2019, 05:32
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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
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Re: 2/10+3/100+4/1000+5/10000 [#permalink] New post   01 Aug 2019, 23:35
Hi Brent,

Thanks for the detailed explanation.

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

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Ashwin
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Re: 2/10+3/100+4/1000+5/10000 [#permalink] New post   02 Aug 2019, 04:29
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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] New post   06 Aug 2019, 18:03
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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] New post   07 Aug 2019, 01:57
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yes , it is.

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Re: 2/10+3/100+4/1000+5/10000 [#permalink] New post   10 Aug 2019, 18:18
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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] New post   11 Aug 2019, 05:59
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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] New post   16 Aug 2019, 12:02
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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] New post   25 Aug 2019, 08:27
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Re: 2/10+3/100+4/1000+5/10000 [#permalink] New post   13 Apr 2024, 21:22
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