If n is an integer and n^3 is between 1 and 100, inclusive, what is

K can be zero and zero is an integer. Thus, I don't think statement 1 alone is sufficient.

If n is an integer and n^3 is between 1 and 100 inclusive, what is the value of n?

(1) n= 2k +1, where k is an integer
(2) n is a prime number.

This is an example question from Manhattan Gmat Numbers Properties guide 1. When I initially did the question, I chose statement 1. as sufficient on its own.

Firstly, in the question stem you can narrow down the choices for n as being between 1 and 4. I then tested numbers in the equation in statement 1 and felt able to conclude that n was 3, as plugging any other integers higher than 1 for k made n>4. Statement 2 only allows me to narrow the choice down to 2 or 3 so its insufficient.

BUT when i read through the answer explanation, they dismiss statement 1 as only telling us that n is odd, meaning it leaves us with a choice of 1 or 3, therefore, you'd need both statements to be able to conclude that n was 3.

Could someone tell me where I went wrong?

If n is an integer and n^3 is between 1 and 100 inclusive, what is the value of n

From the question n can be only be positive integers: either 1 or 2 or 3 or 4.

(1) If n = 2k +1, where k is an integer:
Here, k can only be 0 and 1 and n could be 1 or 3. not sufficient.

(2) If n is a prime number, n could be 2 or 3.

from 1 and 2, n is 3. So that's C.

Can you pls help me understand why K will ONLY b "0" or "1"??

Because possible values of n = 1,2,3,4 (only there cubes will lie between 1 and 100)

and if n = 2k+1 => k = 1 (n = 3), 0 (n=1)