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
Please show your thinking in arriving to the answer.
Thanks.
If x is an integer and y=3x+2, which of the following CANNOT
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If y=3x+2...we know that y is not divisible by 3 because 3x will always be divisible by 3. So if you add +2, the resulting number will be 5,8,11, etc, never divisible by 3. Since we know that if a number is not divisible by 3 then its not divisible by 6, thats your answer
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Hi Bill .. thanks ... this was also my thinking and also the explanation in the OG guide. Was interested to see if people used alternative approaches in arriving to the answer on this one.BILL wrote:If y=3x+2...we know that y is not divisible by 3 because 3x will always be divisible by 3. So if you add +2, the resulting number will be 5,8,11, etc, never divisible by 3. Since we know that if a number is not divisible by 3 then its not divisible by 6, thats your answer
Thanks.
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We are given the following:II 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 = 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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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
Hello, every one I have some doubt about that question.
My analysis Y= DIVIDEND, X = DIVISOR, 3= QUOTiENT AND 2= REMAINDER.
so question asked which option cannot be the X? because x is the divisor of y. so how multiple of 3 can be answered? y=3*6+2. y=18 so 18/6 in which quotient 3 and remainder also 2. so how option c answer? would anyone like to explain, please.
A) 4
B) 5
C) 6
D) 7
E) 8
Hello, every one I have some doubt about that question.
My analysis Y= DIVIDEND, X = DIVISOR, 3= QUOTiENT AND 2= REMAINDER.
so question asked which option cannot be the X? because x is the divisor of y. so how multiple of 3 can be answered? y=3*6+2. y=18 so 18/6 in which quotient 3 and remainder also 2. so how option c answer? would anyone like to explain, please.
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Rule:Farjin 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
MULTIPLE OF K + MULTIPLE OF K = MULTIPLE OF K
MUTIPLE OF K + NON-MULTIPLE OF K = NON-MULTIPLE OF K
y = 3x + 2 = MULTIPLE OF 3 + NON-MULTIPLE OF 3 = NON-MULTIPLE OF 3.
Since y is not a multiple of 3, it cannot be a multiple of 6.
The correct answer is C.
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I unlock the best way for YOU to solve problems.
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GMATGuruNY wrote:Rule:Farjin 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
MULTIPLE OF K + MULTIPLE OF K = MULTIPLE OF K
MULTIPLE OF K + NON-MULTIPLE OF K = NON-MULTIPLE OF K
y = 3x + 2 = MULTIPLE OF 3 + NON-MULTIPLE OF 3 = NON-MULTIPLE OF 3.
Since y is not a multiple of 3, it cannot be a multiple of 6.
The correct answer is C.