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You are watching: The number 75 can be written

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Re: The number 75 deserve to be written as the amount of the squares of 3 different<#permalink>07 Oct 2019, 07:01
The number 75 have the right to be composed as the sum of the squares that 3 various positive integers. What is the sum of this 3 integers?A. 17 B. 16 C. 15 D. 14 E. 13
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Re: The number 75 deserve to be created as the sum of the squares the 3 different<#permalink>14 Oct 2019, 12:05
I obtained this concern on a exercise test i took via GMAC. Oddly enough, if you element factorize 75 (15->5 and 3 and 5), you will get 5+5+3= 13. Is the a simultaneously or is there in reality something behind it? I know that the concern is no asking because that this, but I discovered it a little bit strange. Any kind of insight top top this would be helpful! thank you
Re: The number 75 can be created as the sum of the squares of 3 different<#permalink>14 Oct 2019, 15:34
Hi MTLGMAT514,Since friend can"t actually acquire to most integers by adding up 3 squares the integers, this result is just a coincidence. GMAT assassins aren"t born, they"re made,Rich_________________
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Re: The number 75 can be composed as the amount of the squares of 3 different<#permalink>06 Dec 2020, 19:03
Hi, there. I"m happy to provide my 2 cents on this. First the all, this is a relatively challenging question for GMAT math. Girlfriend would only see a concern of this difficulty if girlfriend were currently answering almost all of the math concerns correctly. I can"t really suggest much other than trial-and-error. Due to the fact that 25 is a factor of 75, i figured it might make sense if 25 were among the 3 squares. That method the various other two squares would have to add up come 50. Well, conveniently, 7^2 = 49, therefore 7^2 + 1^2 = 50, and 7^2 + 1^2 + 5^2 = 75. The three numbers space 1, 5, and also 7, and those have actually a sum of 13. Prize = E. Here, i was really just adhering to my intuition because that numbers, which is really simply a notch above pure guess-and-check. I don"t know the source of this question, but the actual GMAT has tendency to give questions that admit of one of two people a methodical technique or an elegant solution, whereas this an ext or less requires part guess & check, part poking around in the dark. That"s just not the style of inquiries that the GMAC key out. Please let me know if you have any kind of questions on what I"ve stated here. Mike


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newish below - exactly how come this is labeled below 600 if it"s tough? I discovered this top top a official practice gmat