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If x is an integer, what is the value of x^5 + 3^5 ?
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Updated on: 10 Nov 2018, 06:26
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Weekly Quant Quiz Question 4 If x is an integer, what is the value of \(x^5 + 3^5\) ? (1) \(\sqrt[n]{x^n}\) \(= 3\) (2) \(x^3 +8\) \(= 35\)
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Originally posted by gmatbusters on 29 Sep 2018, 10:15.
Last edited by Bunuel on 10 Nov 2018, 06:26, edited 1 time in total.
Renamed the topic and edited the question.




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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 22:41
Official Solution: Most important learning from this question : \(\sqrt[n]{x^n}\) = x , only if n is odd \(\sqrt[n]{x^n}\) = x, if n is even.Statement 1, \(\sqrt[n]{x^n}\) \(= 3\), here x can be 3 , if n is odd but if n is even, x can be +3 or 3 hence it is NOT SUFFICIENTStatement 2: x ^3 = 358 = 27 , hence x = 3 hence, SUFFICIENT.Answer = Bgmatbusters wrote: Weekly Quant Quiz Question 4 If x is an integer, what is the value of \(x^5 + 3^5\) ? a)\(\sqrt[n]{x^n}\) \(= 3\) b) \(x^3 +8\) \(= 35\)
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:20
IMO Option (D) should be correct. Please find my solution in attached image. Gladi
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:20
From 1) x=3 its suffiecient
From 2) x^3+8=35 gives two values not sufficient
Answer A



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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:21
D  a) can be written as x^n (1/n) = 3 x^1 = 3  sufficient b) x3+8x3+8 =35=35 X^3 = 27 because its odd power it retains the number sign therefore x = 3  sufficient
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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Updated on: 29 Sep 2018, 10:22
1) x^(n/n)=3 x=3 sufficient 2) x^3+8=35 x^3=27 x=3, sufficient D
Originally posted by Manvi_nagpal on 29 Sep 2018, 10:21.
Last edited by Manvi_nagpal on 29 Sep 2018, 10:22, edited 1 time in total.



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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:22
a) Suff Implies x=3 .... hence the req value can be determined. b) Suff Implies x=3 .... hence the req value can be determined........ Ans D
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:22
(1) we know that the n root of x raised to the n = 3. Then n's cancel each other out so we know that x =3 Sufficient(2) \(x^3\) = 35  8 so x^3 = 27 x=3 SufficientAnswer is D
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:24
Answer is D as both statements individually are sufficient
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:24
Consider A, if n=0, A doesn't hold. so x^5 + 3^5 can't be determined. For n>0 the question can be determined a fixed value. A is not sufficient, Consider B, x^3 = 358 = 27. x = 3> x^5 + 3^5 = 486. B is sufficient. Answer B.
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 10:35
1) Says (x)^(n/n)=3 Therefore x=3 Answer possible Sufficient 2) X=either +3 or 3, 3 ruled out as the sum is positive x=3 sufficient. ANSWER=D
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 11:59
1) (x) to the power of n*1/n = 3
Thus,x = 3
Sufficient
2) (x) to the power of 3 = 35 8 = 27
Thus, x = 3 (as 27 is positive and x is raised to an odd power)
Thus, sufficient
Ans. D
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 12:36
Gladiator59 wrote: IMO Option (D) should be correct. Please find my solution in attached image.
Gladi Sent from my iPhone using GMAT Club Forum mobile app



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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 12:37
What if the value of n in first statement is 2 then there will be 2 values of x?? Sent from my iPhone using GMAT Club Forum mobile app



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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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29 Sep 2018, 14:57
Just by looking at A and B I could say that X is 3.
Answer is D



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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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Updated on: 29 Sep 2018, 22:46
Statement I: \(x^n = 3^n\). Here, x = 3,3 for n =2,4,6... etc. Statement II: \(x^3 = 27\) x = 3. Hence, B.
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Re: If x is an integer, what is the value of x^5 + 3^5 ?
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