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08 Feb 2017, 09:24
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A
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Difficulty:
45%
(medium)
Question Stats:
58% (01:39) correct
42%
(02:20)
wrong
based on 161
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What is the sum a + b + c?
(1) \(x^3 − x = (x + a)(x + b)(x + c)\) for all values x
(2) \(a = b + 1\) and \(c = a + 1\)
(1) \(x^3 − x = (x + a)(x + b)(x + c)\) for all values x
(2) \(a = b + 1\) and \(c = a + 1\)
08 Feb 2017, 10:09
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A
Statement 1 -> As we just have to find the sum.
(x-1)x(x+1) implies a,b,c have values -1,0,1 (not in the intended order)
But a+b+c =0
Statement 2 -> 3 unknown 2 equations => insufficient to find values of variables.
So A
Sent from my HM 1S using GMAT Club Forum mobile app
Statement 1 -> As we just have to find the sum.
(x-1)x(x+1) implies a,b,c have values -1,0,1 (not in the intended order)
But a+b+c =0
Statement 2 -> 3 unknown 2 equations => insufficient to find values of variables.
So A
Sent from my HM 1S using GMAT Club Forum mobile app
08 Feb 2017, 10:17
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Bunuel
x^3 - x = x(x^2 -1) = (x-1)(x)(x+1) = (x+a)(x+b)(x+c)
By comparing we can say a b c to be 0, -1, 1 and addition = 0. But We don't know their exact values(e.g if a= 0 or -1 or 1)
Statement 1 : Sufficient.
Statement 2: a=b+1 c=a+1 means a = b+1 c = a +2, the numbers are b+1, b, b+2
From this we can only understand that a,b,c are consecutive integers on number line. We don't know their exact value.
IMO A.
