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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, 15:16
2
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, 04:47
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
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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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22 Aug 2017, 02:16
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
Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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14 Mar 2018, 07:17
Top Contributor
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 integer
So, 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
Re: If x is an integer and y = 3x + 2, which of the following CANNOT be a
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05 Jan 2019, 02:19
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