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(58^2 + 58^2)/29^2 =
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30 Dec 2014, 06:46
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76% (01:07) correct 24% (01:32) wrong based on 130 sessions
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Tough and Tricky questions: Arithmetic. (58^2 + 58^2)/29^2 = A. 4 B. 8 C. 29 D. 58 E. 116 Kudos for a correct solution.
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Re: (58^2 + 58^2)/29^2 =
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30 Dec 2014, 07:14
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.



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Re: (58^2 + 58^2)/29^2 =
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30 Dec 2014, 14:50
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)
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Re: (58^2 + 58^2)/29^2 =
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30 Dec 2014, 18:11
Answer = B
\(\frac{(58^2 + 58^2)}{28^2} = \frac{2 * 58^2}{28^2}\)
\(= \frac{2 * (602)^2}{(302)^2}\)
\(= \frac{2 (60^2  2*60*2 + 4)}{30^2  2*30*2 + 4}\)
\(= \frac{2 * 60^2}{30^2}\)
\(= 2 * 2^2 = 8\)



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Re: (58^2 + 58^2)/29^2 =
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30 Dec 2014, 21:40
By approximation, 58/28 = ~2 (lower side) 2^2 + 2^2 = 8 Answer B



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Re: (58^2 + 58^2)/29^2 =
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31 Dec 2014, 02:48
There was a typo. Question reads: (58^2 + 58^2)/29^2 = Edited.
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Re: (58^2 + 58^2)/29^2 =
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31 Dec 2014, 02:55
Wow. With that corrected type this becomes really easy, as we don't need to make any approximations:
\(\frac{2*(58^2*58^2)}{29^2}=\frac{2*2*2*29^2}{29^2}=8\)



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Re: (58^2 + 58^2)/29^2 =
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31 Dec 2014, 03:06
= {(29 x 2)^2 + (29x2)^2}/29^2 = {(29^2) X (2^2)/(29^2)} +{(29^2) X (2^2)/(29^2)} = 2^2+2^2 = 8



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Re: (58^2 + 58^2)/29^2 =
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31 Dec 2014, 08:05
Bunuel wrote: Tough and Tricky questions: Arithmetic. (58^2 + 58^2)/29^2 = A. 4 B. 8 C. 29 D. 58 E. 116 Kudos for a correct solution.(58^2 + 58^2)/29^2 = 2 (58^2)/29^2 = 2 * (2^2 * 29^2) / 29^2 = 2 * (2^2) = 2 * 4 = 8 Ans 8
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Re: (58^2 + 58^2)/29^2 =
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31 Dec 2014, 12:50
Ans is 8 my approach was: (58^2 + 58^2)/29^2 =58(58+58)/29*29 =58*116/29*29=2*4=8



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Re: (58^2 + 58^2)/29^2 =
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02 Jan 2015, 06:38
(58^2 + 58^2)/29^2 > 2 * (58^2) / 29^2 > 2 * ((29 * 2)^2) / 29^2 > (2^3) * (29^2) / 29^2 > 2^3 = 8



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Re: (58^2 + 58^2)/29^2 =
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02 Jan 2015, 06:48
\(29^2(2^2+2^2)/29^2\) simplify by \(29^2\)
we get \(2^2+2^2=8\) answ. B



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Re: (58^2 + 58^2)/29^2 =
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03 Jan 2015, 01:41
the given (58^2+58^2)/29^2= 2*58^2/29^2 == 2*29^2*2^2/29^2 = 2*2*2= 8



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Re: (58^2 + 58^2)/29^2 =
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08 Jan 2015, 08:38
Bunuel wrote: Tough and Tricky questions: Arithmetic. (58^2 + 58^2)/29^2 = A. 4 B. 8 C. 29 D. 58 E. 116 Kudos for a correct solution. OFFICIAL SOLUTION:(B) There are many ways to solve this problem. The easiest is probably to factor the numerator and then cancel terms.
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Re: (58^2 + 58^2)/29^2 =
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11 Aug 2019, 21:34
29^2 * (2^2 + 2^2)/29^2= 4+4=8 Option B Posted from my mobile device
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Re: (58^2 + 58^2)/29^2 =
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11 Aug 2019, 22:29
Bunuel wrote: Tough and Tricky questions: Arithmetic. (58^2 + 58^2)/29^2 = A. 4 B. 8 C. 29 D. 58 E. 116 Kudos for a correct solution.29^2(4+4)/29^2= 8 IMO B Posted from my mobile device
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Re: (58^2 + 58^2)/29^2 =
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