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Re: GRE Math Challenge #52 [#permalink]
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JNeen wrote:

Hi Brent,

I don't follow your explanation. Can you explain it a different way maybe? I am unsure as to why we're noticing that 250=1000/4 and replacing.


Hi JNeen,

The two quantities are initially hard to compare because one quantity is in the form of a fraction with denominator 4 (Quantity B: 492,000/4) and the other quantity is not in the form of a fraction.

So, to make the comparison easier, I thought I might convert Quantity into a fraction with denominator 4.

So, I used the fact that we can rewrite 250 as a fraction with denominator 4.

We get:
Quantity A: \((250)(492)=(\frac{1000}{4})(492)=(\frac{1000}{4})(\frac{492}{1}) = \frac{492,000}{4}\)

Quantity B: \(\frac{492,000}{4}\)

Answer: C

Does that help?

Cheers,
Brent
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Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
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For A, 492*250
For B, 492,000=492*1000/4=492*250
So ans is C
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Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
First step is to look for common factors in both the quantities.
Since 492 is common, divide both the quantities by 492
You will get 250 on one side and 1000/4 on the other side
we know that 100/4 is 25. Therefore 1000/4 is 250
The answer is C
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Re: GRE Math Challenge #52 [#permalink]
GreenlightTestPrep wrote:
JNeen wrote:

Hi Brent,

I don't follow your explanation. Can you explain it a different way maybe? I am unsure as to why we're noticing that 250=1000/4 and replacing.


Hi JNeen,

The two quantities are initially hard to compare because one quantity is in the form of a fraction with denominator 4 (Quantity B: 492,000/4) and the other quantity is not in the form of a fraction.

So, to make the comparison easier, I thought I might convert Quantity into a fraction with denominator 4.

So, I used the fact that we can rewrite 250 as a fraction with denominator 4.

We get:
Quantity A: \((250)(492)=(\frac{1000}{4})(492)=(\frac{1000}{4})(\frac{492}{1}) = \frac{492,000}{4}\)

Quantity B: \(\frac{492,000}{4}\)

Answer: C

Does that help?

Cheers,
Brent


Definitely does. Thank you!
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Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
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Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
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Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
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