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If x is a positive integer greater than 1, what is the value of x?
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Updated on: 02 Jan 2019, 15:28
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Bunuel wrote:
If x is a positive integer greater than 1, what is the value of x?
(1) 2x is a common factor of 18 and 24 (2) x is a factor of 6
Target question:What is the value of x?
Given: x is a positive integer greater than 1
Statement 1: 2x is a common factor of 18 and 24 Positive factors of 18: 1, 2, 3, 6, 9, 18 Positive factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 COMMON factors of 18 and 24: 1, 2, 3, 6 So, 2x = 1, 2x = 2, 2x = 3 or 2x = 6 This means, x = 0.5, x = 1, x = 1.5 or x = 3 Since we're told that x is a positive integer greater than 1, we can see that x MUST equal 3 Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: x is a factor of 6 So, x could equal 1, 2, 3, or 6 Since we're told that x is a positive integer greater than 1, we can see that x COULD equal 2, 3, or 6 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Re: If x is a positive integer greater than 1, what is the value of x?
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22 Jun 2017, 14:49
If x is a positive integer greater than 1, what is the value of x?
x>1
(1) 2x is a common factor of 18 and 24
As 2x is a common fator of 18 & 24, lets fiigure out what can take the value of 2x
18 = 1*2*3*3 24 = 1*2*2*2*3
Common factors are: 1*2*3 = = 2*3 - Here 3 replaces x from the equation 2x, so get the value of x = 3 which is > 1
Hence =====> (1) is SUFFICIENT
(2) x is a factor of 6
x is a factor of 6
Which means x can be any of these numbers: 1, 2, 3
As you an clearly see that we can have twp possibilities, =1 and >1 we really cannot answer the question is x > 1.
Hence, =====> (2) is NOT-SUFFICIENT
Hence - Answer is A _________________
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