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If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470,
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26 Apr 2016, 06:34
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If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z? I. x = 115, y = 146, z = 173 II. x = 114, y = 142, z = 171 III. x = 110, y = 108, z = 179 A. I only B. II only C. III only D. I and II E. I and III
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Re: If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470,
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26 Apr 2016, 08:32
We can just go by the units digit of the square of the numbers
I. x = 115, y = 146, z = 173 > Sum of the square of the unit digits 5 +6 +9 = 0 II. x = 114, y = 142, z = 171 > Sum of the square of the unit digits 6 +4+1 = 1 III. x = 110, y = 108, z = 179> Sum of the square of the unit digits 0+4+1 = 5
So the answer is A



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If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470,
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26 Apr 2016, 08:33
Bunuel wrote: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z?
I. x = 115, y = 146, z = 173 II. x = 114, y = 142, z = 171 III. x = 110, y = 108, z = 179 A. I only B. II only C. III only D. I and II E. I and III 10 sec answer if you know how to find the units digit of a numberThe number given is of the form of square, so calculate the units digit  Here your objective is to find the sum where last digit is 0 x = 115, so x^2 will have units digit 5 y = 146, so y^2 will have units digit 6 z = 173, so z^2 will have units digit 9 Calculate the units digit , the units digit will be 0Test with options II and III, only option I will satisfy the condition , hence this will be our answer.
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Joined: 23 Jun 2017
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Re: If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470,
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09 Oct 2017, 00:58
Bunuel If I prepare quant from GMAT directory is it sufficient to get Q50 score?




Re: If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470, &nbs
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09 Oct 2017, 00:58






