2logj wrote:If when a certain integer x is divided by 5
the reminder is 2,then all the following could
also be an integer except
A X/17
B X/11
C X/10
D X/6
E X/3
Make a list of values that satisfy the conditions given.
On the GMAT, this problem likely would be restricted to positive integers.
When X is divided by divisor D, the remainder is R means that the smallest possible value of X is R.
To generate the other possible values of X, just keep adding multiples of the divisor D to R.
In the problem above:
The smallest possible value of X is R=2.
Adding multiples of the divisor D=5 to R=2, we get the following list:
2,7,12,17,22,27...
Each of the numbers above is 2 more than a multiple of 5; thus, when each number is divided by 5, R=2.
Now compare the numbers in the list to the expressions in the answer choices:
12 is a multiple of 6 and of 3.
Eliminate D and E.
17 is a multiple of 17.
Eliminate A.
22 is a multiple of 11.
Eliminate B.
The correct answer is
C.
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