If a^x=b^y, where a, b, x, and y are positive integers, is x divisible by y?
(1) a is an odd number
(2) y is an odd number
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(2) is enough to answer the question.
Regarding(1), I think it wanted to sound like a is an odd number.
Then (1) is not enough to answer the question.
Sorry, (1) is also enough to answer the question.
well, if a^x = b^y, then we know that at least one these is true
1) x divides y OR
2) y divides x OR
3) a=b=1, in which case x and y can be anything (1^3 = 1^5 for example).
I don’t see how knowing the second fact, that y is odd, helps at all.
Knowing (1), what the value of is, allows us to eliminate my third possibility, but then we still don’t know whether x|y or y|x since we don’t know which is bigger?
So I think the answer cannot be determined even with both facts.
i am not really convinced with the question
statement states simply ‘a’
which could mean anything
Gmat Team ,need your sincencere concern and help
I am not able to find where I am wrong??
let a = 2, x = 4
than a^x = 16
and b = 4, y = 2
than b^y = 16.
Do anyone have any other example. I hope y is a even number always.
so y is divisible by x..
Option E
a^x = b^y.
Eqn : 2^4 = 4^2 will solve this.But there is also something we need to take care of ,a = b = 1.So irrespective of the powers the eqn will be satisfied always.
Statement 1: Nt suff.
Statement 2 : Nt suff.
Combining both the statements : Nt suff.
I will go with option E
E
Statement 1 is necessary and sufficient to answer the question…
125 = 5 ^ 3 …. option E
E
If a is odd then B must be odd
5^4=25^2
3^4=9^2
hence a is sufficient
my answer is E
how 1, i am not getting
here in first a is odd a is base but we do not no x donot know y value also value so this is not sufficient to tel x divisable by y
in second y value odd we donot know x value k this is also not
would we give the answer to that problem we want to know x value and y value from this options we cannot find out value of x so my answer is E