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OG 2nd Edition Q58

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by jaxis » Sun Feb 06, 2011 8:06 am
quaktar0004 wrote:Can someone please help me with this problem? There has to be a faster method than the explanation given.

31/125 =

a. 0.248
b. 0.252
c. 0.284
d. 0.312
e. 0.320
Multtiply the numerator and denominator by 8

248/1000.
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by quaktar0004 » Sun Feb 06, 2011 8:36 am
Thank you for the quick response. Just curious...how did you determine that 8 was the right # to multiply both the numerator and denominator by?
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by jaxis » Sun Feb 06, 2011 8:41 am
quaktar0004 wrote:Thank you for the quick response. Just curious...how did you determine that 8 was the right # to multiply both the numerator and denominator by?
try to make he denominator a power of 10 in these kind of problems.

In this case 125 can be converted to closest power of 10 by multiplying it with 8.
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by GMATGuruNY » Sun Feb 06, 2011 8:58 am
quaktar0004 wrote:Can someone please help me with this problem? There has to be a faster method than the explanation given.

31/125 =

a. 0.248
b. 0.252
c. 0.284
d. 0.312
e. 0.320
Another approach:

Since 30/120 = 1/4, we know that the correct answer must be around .25. Eliminate C, D and E.

Now compare 31/125 to 1/4 to see which is larger. To compare fractions, we multiply the denominator in each fraction by the numerator in the other. The numerator that yields the bigger product will belong to the bigger fraction:

4*31 = 124.
125*1 = 125.

Since the numerator of 1/4 yields the bigger product, 1/4 is bigger than 31/125. Thus, the correct answer must be less than 1/4 = .25.

The correct answer is A.
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by quaktar0004 » Sun Feb 06, 2011 10:18 am
THank you both for great explanations!
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