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If x is an integer and y = 3x + 2, which of the following CANNOT be a
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03 Mar 2014, 01:29
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If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 Problem Solving Question: 125 Category: Arithmetic Properties of numbers Page: 78 Difficulty: 600 The Official Guide For GMAT® Quantitative Review, 2ND Edition
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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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03 Mar 2014, 01:30
SOLUTIONIf x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?(A) 4 (B) 5 (C) 6 (D) 7 (E) 8 y is not a multiple of 3, actually it's 2 more than a multiple of 3. Therefore, since y is not a multiple of 3, it cannot be a multiple of 6 either. Answer: C.
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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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03 Mar 2014, 02:41
Answer = C = 6 For any value of x as an integer, y = 3x+2 is not divisible by 6
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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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04 Mar 2014, 03:30
I hope there must be a better way to solve this question But One method is :
Put different values of x : 0,1,2,3,4 .... so y = 2, 5, 8, 11, 14, 17, 20, 23, 26 ...
Now checking for answer choices : there is no multiple of 6 in the values of y
Hence Option C



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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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04 Apr 2017, 16:16
Bunuel wrote: If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
We are given the following: y = 3x + 2 y  2 = 3x (y  2)/3 = x In order for y  2 to be divisible by 3, y must be 2 greater than a multiple of 3. Since y is 2 greater than a multiple of 3, y cannot actually be a multiple of 3. Thus, 6 CANNOT be a divisor of y. Answer: C
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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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26 Jul 2017, 05:47
I applied a plug in technique and POE. if x is 1; y is 5 (already present in options) so its a divisor of y if x is 2 ; y is 8; again a divisor of y (basis options) if x is 3; y is 11  drop if x is 4 ; y is 14 so 7 is a divisor if x is 5; y is 17 drop if x is 6; y is 20 so 4 and 5 are both divisors if x is 7; y is 23 if x is 8; y is 26
thus 6 is only non divisor.



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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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26 Jul 2017, 06:05
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 Problem Solving Question: 125 Category: Arithmetic Properties of numbers Page: 78 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! y = 3x+2 To solve it faster , lets start putting values in sequence x = 0, y = 2 x = 1, y = 5 x = 2 , y = 8 x = 3, y = 11 x = 4, y = 14 So, it is divisible by 4,5,7,8 . It is not divisible by 6. Answer C
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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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21 Aug 2017, 21:39
It took me a minute and 50 seconds to get this wrong, while Bunuel did it in about 10 seconds



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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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22 Aug 2017, 03:16
pretty straight forward... for divisibility by 6 we need last digit to be 6... and when we see the cyclical nature of multiple of 3 we find no match which when added to 2 gives 6.....so answer is 6



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Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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14 Mar 2018, 08:17
Baten80 wrote: If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
A. 4 B. 5 C. 6 D. 7 E. 8 A lotof integer properties questions can be answered by testing values. So, let's do that here. KEY: x is an integerSo, if x = 1, then y = 3( 1) + 2 = 5. Since 5 is a divisor of 5, we can ELIMINATE C If x = 2, then y = 3( 2) + 2 = 8. Since 4 and 8 are both divisors of 8, we can ELIMINATE A and E If x = 3, then y = 3( 3) + 2 = 11. Doesn't help us If x = 4, then y = 3( 4) + 2 = 14. Since 7 is a divisor of 14, we can ELIMINATE D By the process of elimination, the correct answer is C Cheers, Brent
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Re: If x is an integer and y = 3x + 2, which of the following CA
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Re: If x is an integer and y = 3x + 2, which of the following CA
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