x,y
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Source: Beat The GMAT — Problem Solving |
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jainnikhil02
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IMO E
Nikhil K Jain
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jaymw
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What is the source of this question? The wording seems a bit strange.If 1234567867 is divided by 12^x, what is the value of x-y , if x,y are non-negative integers and x#y?
a. -1
b.0
c.1
d.12
e.cannot b determined
If we take the word divided as divisible, we can get x. x must be zero, because in that case 12^0 would equal 1, which is a divisor of 1234567867. x cannot be any other positive integer because 12^(any positive integer) will always result in an even number, which can never be a divisor of an odd number.
Since x and y are different non-negative integers, and x is the only non-negative integer (zero), then y must be a positive integer.
Subtracting any positive integer from 0 results in a negative integer. If y is 1, the result of x-y will be -1. However, if y is 2, the result of x-y will be -2.
Therefore, the correct answer choice should be E.
