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30 Dec 2014, 07:46
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
83% (01:06) correct
17%
(01:37)
wrong
based on 282
sessions
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Not Attempted Yet
30 Dec 2014, 08:14
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The question looks quite terrifying when you just look at the question stem, but once you check the answer alternatives, it is actually quite fun. With a little bit of simplification, you can make a strategic guess, since the alternatives are quite far apart.
First, let's simplify the expression a bit:
\(\frac{(58^2+58^2)}{28^2}=\frac{2*58^2}{28^2}=\frac{2*2^2*29^2}{2^2*2^2*7^2}=\frac{29^2}{2*7^2}\).
We can't simplify the equation further, so now we can start guessing. 29 is close to 30, so the numerator should be just short of \(30^2=900\). The denominator is 2 times 49, so just below 100. 900 over 100 is 9, so the result should be just short of that. Checking the answer choices, we see that B is 8, so that must be the answer.
If you are still not convinced, you can compare the numberator with \(25^2=625\). 625 over 100 would be 6.25 and since 29 is closer to 30 than to 25, the precise result should be somewhere between 6.25 and 9, however closer to 9 than to 6.25.
First, let's simplify the expression a bit:
\(\frac{(58^2+58^2)}{28^2}=\frac{2*58^2}{28^2}=\frac{2*2^2*29^2}{2^2*2^2*7^2}=\frac{29^2}{2*7^2}\).
We can't simplify the equation further, so now we can start guessing. 29 is close to 30, so the numerator should be just short of \(30^2=900\). The denominator is 2 times 49, so just below 100. 900 over 100 is 9, so the result should be just short of that. Checking the answer choices, we see that B is 8, so that must be the answer.
If you are still not convinced, you can compare the numberator with \(25^2=625\). 625 over 100 would be 6.25 and since 29 is closer to 30 than to 25, the precise result should be somewhere between 6.25 and 9, however closer to 9 than to 6.25.
30 Dec 2014, 15:50
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My solution is the following. 58 is approximately equal to 60 and 28 is app. equal to 30. So we have the following fraction: ((60^2)+(60)^2)/(30^2)=(2*3600)/900=(7200/900)=8 Answer B (The exact figure is 8.5)
