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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, 07:48
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Re: Divisibility [#permalink]
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10 Mar 2011, 07:53
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Re: Divisibility [#permalink]
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10 Mar 2011, 18:07
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. Answer: C.



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Re: Divisibility [#permalink]
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10 Mar 2011, 20:36
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, 05:55
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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, 06:19
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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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Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink]
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08 Feb 2013, 06:23
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, 09:00
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...



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Re: If x is an integer and y = 3x + 2, which of the following [#permalink]
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16 Feb 2013, 09:03
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, 05:52
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, 23:26
The expression y=3x+2 Signifies a Arithmetic progression series shown as below: 2,5,8,11,14,17, 20,23,26,29, 32, 35So 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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22 Apr 2014, 00:32
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, 01:04
I actually took the long route here and came to conclusion that 6 cannot be a divisor as we cannot write 6*P2/3 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, 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 [#permalink]
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26 Mar 2018, 04:15
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
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