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If x, y, and z are three integers, are they consecutive integers?
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10 Dec 2017, 00:51
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If x, y, and z are three integers, are they consecutive integers?
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10 Dec 2017, 03:33
Bunuel wrote: If x, y, and z are three integers, are they consecutive integers?
(1) z = x + 2 (2) None of the three integers are multiples of 3. Statement 1: Nothing mentioned about \(y\). InsufficientStatement 2: Among any three consecutive integers one of them have to be a multiple of \(3\). As none are multiple of \(3\), hence they are not consecutive. SufficientOption B



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Re: If x, y, and z are three integers, are they consecutive integers?
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10 Dec 2017, 06:12
Hi,
Can someone clarify why the sequence can't be 0,1 and 2? Does 0*3=0 count as a multiple of 3?



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Re: If x, y, and z are three integers, are they consecutive integers?
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10 Dec 2017, 06:19



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Re: If x, y, and z are three integers, are they consecutive integers?
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14 Dec 2017, 09:01
Bunuel wrote: If x, y, and z are three integers, are they consecutive integers?
(1) z = x + 2 (2) None of the three integers are multiples of 3. Statement 1 Since relation of y wrt x or z not clear. Therefore NOT SUFFICIENT Statement 2 Case 1> 0,1,2 None of the 3 integers divisible by 3 but are CONSECUTIVE Case 2> 1,3,7 None of the 3 integers divisible by 3 & are NOT CONSECUTIVE Since no unique answer, therefore Statement 2 NOT SUFFICIENT BOTH 1 & 2 > does not give a UNIQUE ANSWER, since y relation wrt to x or z not clear it could be (0,1,2) or (1,3,7) or any 3 integers( none multiple of 3 and z=x+2) Therefore IMHO option "E"



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Re: If x, y, and z are three integers, are they consecutive integers?
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14 Dec 2017, 09:19
dineshril wrote: Bunuel wrote: If x, y, and z are three integers, are they consecutive integers?
(1) z = x + 2 (2) None of the three integers are multiples of 3. Statement 1 Since relation of y wrt x or z not clear. Therefore NOT SUFFICIENT Statement 2 Case 1> 0,1,2 None of the 3 integers divisible by 3 but are CONSECUTIVE Case 2> 1,3,7 None of the 3 integers divisible by 3 & are NOT CONSECUTIVE Since no unique answer, therefore Statement 2 NOT SUFFICIENT BOTH 1 & 2 > does not give a UNIQUE ANSWER, since y relation wrt to x or z not clear it could be (0,1,2) or (1,3,7) or any 3 integers( none multiple of 3 and z=x+2) Therefore IMHO option "E" Hi dineshrilthe highlighted portion is not correct. 0 is divisible by every number 0/3=0. Bunuel has explained the properties of 0 in the earlier post. You may check it for reference.



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Re: If x, y, and z are three integers, are they consecutive integers?
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14 Dec 2017, 11:26
niks18 wrote: dineshril wrote: Bunuel wrote: If x, y, and z are three integers, are they consecutive integers?
(1) z = x + 2 (2) None of the three integers are multiples of 3. Statement 1 Since relation of y wrt x or z not clear. Therefore NOT SUFFICIENT Statement 2 Case 1> 0,1,2 None of the 3 integers divisible by 3 but are CONSECUTIVE Case 2> 1,3,7 None of the 3 integers divisible by 3 & are NOT CONSECUTIVE Since no unique answer, therefore Statement 2 NOT SUFFICIENT BOTH 1 & 2 > does not give a UNIQUE ANSWER, since y relation wrt to x or z not clear it could be (0,1,2) or (1,3,7) or any 3 integers( none multiple of 3 and z=x+2) Therefore IMHO option "E" Hi dineshrilthe highlighted portion is not correct. 0 is divisible by every number 0/3=0. Bunuel has explained the properties of 0 in the earlier post. You may check it for reference. Hi Niks Thanks for the correction. Agree with BUNUEL I then go with your analysis. Option "B" should be the right choicesince in any 3 consecutive Integers (1) One of the integer MUST be divisible by 3 and (2) SUM of 3 consecutive integers WILL ALWAYS be divisible by 3. So UNIQUE solution  all 3 integers are not consecutive.




Re: If x, y, and z are three integers, are they consecutive integers? &nbs
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14 Dec 2017, 11:26






