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If x^(a - b) = 1, what is the value of x ?

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If x^(a - b) = 1, what is the value of x ?  [#permalink]

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New post 24 Mar 2015, 04:25
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

51% (01:10) correct 49% (01:14) wrong based on 115 sessions

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If x^(a - b) = 1, what is the value of x ?  [#permalink]

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New post 24 Mar 2015, 05:11
Bunuel wrote:
If x^(a - b) = 1, what is the value of x ?

(1) a ≠ b

(2) x > 0

Kudos for a correct solution.



three possibilities in which \(x^(^a ^- ^b^) = 1\)
Case 1: X=1
Case 2: X=-1 and A-B=Even
Case 3: X= Number and A-B=0

(1) a ≠ b
this option tell us that case 3 is not possible . we still have 2 cases left. Insufficient.

(2) x > 0
this option tells us that Case 2 is not possible and left us with case 1 and case 3 so still Insufficient.

Combining :
from 1 we know case 3 is not possible and from 2 we know that Case 2 is not possible so we are left with case 1 only . i.e. X=1

Sufficient.
Answer C.
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Re: If x^(a - b) = 1, what is the value of x ?  [#permalink]

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New post 24 Mar 2015, 20:09
1
Bunuel wrote:
If x^(a - b) = 1, what is the value of x ?

(1) a ≠ b

(2) x > 0

Kudos for a correct solution.


Statement 1:
x can be either -1 or 1 depending on whether a-b is even or odd
Insufficient

Statement 2:
x is positive. however, x can be any positive number if a=b
Insufficient

Combined, we know that x must be 1

Answer:C
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Re: If x^(a - b) = 1, what is the value of x ?  [#permalink]

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New post 24 Mar 2015, 22:45
X^(a-b) = 1,

1. a not =b; X can be anything 1 or -1 to satisfy above criteria
2. X>0; X can be anything and a=b to satisfy above criteria
1+2 ; X can be 1 only;
Hence C is the answer

Thanks,
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Re: If x^(a - b) = 1, what is the value of x ?  [#permalink]

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New post 25 Mar 2015, 01:13
X^(a-b) = 1,

1. X can be 1 or -1 InSufficient
2. X>0; a=b , X = 1,2,3,4.....
1and 2 X = 1

Ans C
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Re: If x^(a - b) = 1, what is the value of x ?  [#permalink]

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New post 30 Mar 2015, 04:39
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Re: If x^(a - b) = 1, what is the value of x ?  [#permalink]

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New post 01 Jan 2019, 03:53
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x^(a - b) = 1, what is the value of x ?   [#permalink] 01 Jan 2019, 03:53
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