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27 Sep 2009, 08:06
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N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
80% (01:07) correct
20%
(00:41)
wrong
based on 38
sessions
History
Date
Time
Result
Not Attempted Yet
25/0.128 =
A. 195
B. 196
C. 197
D. 198
A. 195
B. 196
C. 197
D. 198
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27 Sep 2009, 12:12
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chetan2u
First, 0.128 is equal to 2^7/10^3. So we have
\(\frac{25}{0.128} = \frac{5^2}{\frac{2^7}{(2^3)(5^3)}} = \frac{5^5}{2^4}\)
There is no chance of this being an integer, so we can't use divisibility properties here; it's purely coincidental that the closest integer to this expression is a multiple of 5. You can see why there is no reason to expect a similar expression to be close to a multiple of 5 by looking at a fraction with smaller powers; for example, the fraction 5^2/2^2 is equal to 6.25, so the closest integer to 5^2/2^2 is not a multiple of 5.
The question should mention that it's asking for an approximation, since 25/0.128 is not exactly equal to any of the answer choices. If I were to need to estimate its value, I'd first get integers in the numerator and denominator:
\(\frac{25}{0.128} = \frac{25000}{128} = \frac{3125}{16}\)
Now we know 3200 = 16*200. 3125 is 75 less than 3200, and 75/16 is just less than 5, so 3125/16 will be just larger than 195 (it's exactly equal to 195 and 5/16ths).
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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