Data Sufficiency

If n is a positive integer and k = 5.1 * 10^n, what is the
value of k ?
(1) 6,000 < k < 500,000
(2) k^2 = 2.601 * 10^9

answer given is D.. please lemme know why B is sufficient.. value of k could be negative or positive..

If n is a positive integer and k = 5.1 * 10^n, what is the
value of k ?
(1) 6,000 < k < 500,000
(2) k^2 = 2.601 * 10^9

Statement I:
IF n= 3
k = 5100
If n =4
k = 51000
If n=5
k=510000
From statement I, we get to know that 6,000 < k < 500,000
So n=4 and k =51000
Statement I is sufficient.

Statement II:
k^2 = 2.601 * 10^9

In the question k= 5.1 * 10^n
so K cannot be negative as it is the product of two positive numbers.

So K = 51000

So Statement II is also sufficient.

And the answer is D.

ShikenO/kau wrote:If n is a positive integer and k = 5.1 * 10^n, what is the
value of k ?
(1) 6,000 < k < 500,000
(2) k^2 = 2.601 * 10^9

Statement I:
IF n= 3
k = 5100
If n =4
k = 51000
If n=5
k=510000
From statement I, we get to know that 6,000 < k < 500,000
So n=4 and k =51000
Statement I is sufficient.

Statement II:
k^2 = 2.601 * 10^9

In the question k= 5.1 * 10^n
so K cannot be negative as it is the product of two positive numbers.

So K = 51000

So Statement II is also sufficient.

And the answer is D.

Ahh, thanks.. i missed the given value of k in the question.. K cannot be negative..
what a silly mistake!!