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# If x is an integer and y = 3x + 2, which of the following

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Director
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If x is an integer and y = 3x + 2, which of the following  [#permalink]

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10 Mar 2011, 06:48
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Question Stats:

69% (01:34) correct 31% (01:38) wrong based on 798 sessions

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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

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10 Mar 2011, 06:53
7
8
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

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.

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Re: If x is an iteger and y=3x+2, which of the following CANNOT  [#permalink]

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08 Feb 2013, 05:19
5
Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger 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=3x+2 means that y is not divisible by 3 thus y can not be divisible by any multiple of 3. Among answer choices only 6 is a multiple of 3 and hence the answer.
C it is.
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Director
Joined: 01 Feb 2011
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10 Mar 2011, 17:07
Nice explanation.

Bunuel wrote:
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

y is not multiple of 3, actually it's 2 more than multiple of 3. So if y is not a multiple of 3 it cannot be the multiple of 6 as well.

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10 Mar 2011, 19:36
Just to add some more to Bunuel's explanation, if a number is a multiple of 3, it will be in a form:

n = 3*k, where k is an integer

And if a number is a multiple of 6, it will be in a form :

m = 6*l, where l is an integer

so m = 2 * 3 * l = (2*l) * 3 = 3 * p, where p is an integer.

In other words, the prime factorization of m must have 3 as a factor, if it's a multiple of 6, but the expression can't have that (as explained by Bunuel), so it can't be a multiple of 6 either.
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Re: If x is an iteger and y=3x+2, which of the following CANNOT  [#permalink]

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08 Feb 2013, 04:55
2
Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger and y=3x+2, which of the following CANNOT be a divisor of y?
A) 4
B) 5
C) 6
D) 7
E) 8

If x=1, y=5
x=2, y=8
x=3, y=11
x=4, y=14
x=5, y=17
x=6, y=20 etc

Only 6 is a number that is not the factor of y. Other than 6, all others are factors of y.
Regards
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Re: If x is an iteger and y=3x+2, which of the following CANNOT  [#permalink]

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08 Feb 2013, 05:23
Vips0000 wrote:
Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger 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=3x+2 means that y is not divisible by 3 thus y can not be divisible by any multiple of 3. Among answer choices only 6 is a multiple of 3 and hence the answer.
C it is.

Great explanation as usual. +1
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Re: If x is an iteger and y=3x+2, which of the following CANNOT  [#permalink]

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08 Feb 2013, 08:00
Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger 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= 3x+2...that means y can not be divisible by 3 and further it also can't be divided by any multiple of 3....in the answer options 6 is the only multiple of 3...so the answer is 6...
Director
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Posts: 913
Re: If x is an integer and y = 3x + 2, which of the following  [#permalink]

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16 Feb 2013, 08:03
not easy at all

I pick the number and get c but it is too time consuming
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Re: If x is an integer and y = 3x + 2, which of the following  [#permalink]

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12 Aug 2013, 04:52
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

.
pick 1,2,3,4 in mind and except C, all will be eliminated...........
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Re: If x is an integer and y = 3x + 2, which of the following  [#permalink]

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19 Apr 2014, 22:26
The expression

y=3x+2

Signifies a Arithmetic progression series shown as below:

2,5,8,11,14,17,20,23,26,29,32,35

So clearly the answer option is (C)
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Re: If x is an integer and y = 3x + 2, which of the following  [#permalink]

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21 Apr 2014, 23:32
For any value of x, the expression 3x + 2 would never be divisible by 3,6,9...... onwards

So answer = 6 = C
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Re: If x is an integer and y = 3x + 2, which of the following  [#permalink]

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16 Mar 2016, 00:04
I actually took the long route here and came to conclusion that 6 cannot be a divisor as we cannot write 6*P-2/3 as an integer
lesson learnt => the short method is to use the remainder theory on this .
Thanks and kudos
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Re: If x is an integer and y = 3x + 2, which of the following  [#permalink]

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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

Cheers,
Brent
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Re: If x is an integer and y = 3x + 2, which of the following  [#permalink]

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26 Mar 2018, 03:15
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

Testing values is simplest here:

x = 1 ; y = 5 (B) out

x = 2 ; y = 8 (A) & (E) out

x = 4 ; y = 14 (D) out

Hence (C)
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Re: If x is an integer and y = 3x + 2, which of the following &nbs [#permalink] 26 Mar 2018, 03:15
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