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What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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03 Sep 2019, 23:01
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What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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Updated on: 05 Sep 2019, 01:03
What is the value of x^5?
(1) x^2 = 9 (2) x^3 >9
#1 x=+/3 value of x^5 would vary insufficient #2 x^3>9 ; x>2 so it can be 3,4,5,.... so x^5 value would vary insufficient from 1 &2 we can determine that x =3.. IMO C
Originally posted by Archit3110 on 03 Sep 2019, 23:34.
Last edited by Archit3110 on 05 Sep 2019, 01:03, edited 1 time in total.



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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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03 Sep 2019, 23:34
What is the value of \(x^5\)? (1)\(x^2\) = 9 (2) \(x^3\) >9 Statement 1: \(x^2\) = 9 => x = 3 => x= 3 or x =3. Therefore \(x^5\) value will differ for x=3 and x = 3. Hence NOT SUFFICIENT AD/BCE Statement 2: \(x^3\) >9 From this statement, we can say that x = positive since \(x^3\) must be an even number. Also, x can be anything more than 2. i.e, x>2 . x can take any number, so Statement 2 is also NOT SUFFICIENT. AD/ BCE Statement 1 and Statement 2 together: From statement 2 we know that x is positive and from statement 1, the only value x can take is x = 3. Therefore we can find a unique value for \(x^5\). hence SUFFICIENT. The answer is C
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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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03 Sep 2019, 23:52
We are to find x^5. From statement 1, x^2=9 we get x=3 and x=3 And this is insufficient because x^5 can be 243 or 243.
From statement 2, we know that x^3 > 9 and this is also insufficient because there are countless possible values of x which meet this criteria, hence a unique value cannot be gotten for x^5.
1+2 is sufficient because we are able narrow the value of x to be 3. Hence x^5=243. The answer is therefore C.
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What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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Updated on: 04 Sep 2019, 23:07
What is the value of x^5? (1) x^2 = 9 x=+/3 Two values INSUFFICIENT! (2) x^3 >9 x has to be +ve x>2 x's value would differ. INSUFFICIENT! (1)+(2) x=3 SUFFICIENT! Answer is option C
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Originally posted by EncounterGMAT on 03 Sep 2019, 23:53.
Last edited by EncounterGMAT on 04 Sep 2019, 23:07, edited 1 time in total.



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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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04 Sep 2019, 00:10
What is the value of x^5?
(1) x^2 = 9 x= 3 or 3 insufficient
(2) x^3 >9 x is a positive number greater than cuberoot of 9 clearly insufficient
together is sufficient, X equal 3 can satisfy both conditions. it is enough to find what x^5 is therefore, C



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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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04 Sep 2019, 03:36
Quote: What is the value of x^5?
(1) x^2 = 9 (2) x^3 >9 (1) x^2 = 9: \(x^2 = 9…x=3…x={{3,3}}\) insufic. (2) x^3 >9: \(x>0\) insufic. (1&2) \(x>0… x=3…x=3\) sufic. Answer (C)



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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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04 Sep 2019, 06:15
IMO it's C. From 1 we cannot be sure that x is 3 or +3. From 2 we do not get the exact value. Combining both we can say that x has to be +3.What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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Updated on: 08 Sep 2019, 01:11
Analyzing the question:Finding \(x^5\) is the same as finding \(x\) since it is an odd power. If we were to find \(x^6\) instead we can simplify that to finding \(x\). Statement 1:This tells us \(x = 3\) or \(x = 3\), two different answers for \(x\) so insufficient. Statement 2:Although we cannot get the value of \(x\), we can infer that \(x\) must be positive since \(x^3\) is positive. Insufficient. Combined:We take the positive root of (1), \(x = 3\). Sufficient. Note, a variation of this problem would be to find \(x^6\) instead of \(x^5\) and (1) would be sufficient in that case.
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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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04 Sep 2019, 08:46
(c), Because with statement 1 you get : x^5=243 or 243 but with statement 2: you know that the sign of x^3 is positive so you need both



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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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04 Sep 2019, 10:01
What is the value of \(x^5\)? (1) \(x^2 = 9\) \(x = 3, 3\) So, \(x^5 = 3^5 or 3^5\) INSUFFICIENT. (2) \(x^3 > 9\) Since it is not given whether ‘x’ is an integer or non  integer. So, \(x^3 = 10, 11, 12 …. 27\)…. and many. ‘x’ can have multiple values thus \(x^5\) can have many values. INSUFFICIENT. Together 1) and 2) Since \(x^3 > 9\) i.e. \(x > 0\) and \(x^2 = 9\) gives \(x = 3\) \(x^5 = 3^5 = 243\) Answer (C).
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Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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04 Sep 2019, 10:22
What is the value of x^5?
(1) x^2 = 9 x = 3 or 3 \(x^5 = 3^5 or (3)^5\) x^5 can have two values , not sufficient
(2) x^3 >9 3^3 > 9 4^3 > 9 X can have many positive values, not sufficient
Combined stmt 1 & 2 from stmt 1, x can be 3 or 3 from stmt 2, only 3^3 > 9 so only one value satisfies and is sufficient
C is the answer!




Re: What is the value of x^5? (1) x^2 = 9 (2) x^3 >9
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