kso I was doing some problems in quant review second edition and I dont know if I am being stupid or if I came across a mistake.
The problem asks is (x)^1/2 an integer?
A) (4x)^1/2 is an integer
B) (3x)^1/2 is an integer
I know that B is insufficient, but I also think that A is insufficient yet A is the correct answer. Suppose (4x)^1/2=3 then you can pull out a 2 and you have (x)^1/2=3/2 or you can square both sides and you have 4x=9. either way it implies that x is equal to 9/4 which is not an integer. but if (4x)^1/2 = 2 then you have x is equal to 1 which is an integer.
To me this is evidence that both statements together are insufficient. However, the answer is that A is sufficient. Am I being totally stupid or does anyone else agree with my logic? If I am completely off what am I missing?
The problem asks is (x)^1/2 an integer?
A) (4x)^1/2 is an integer
B) (3x)^1/2 is an integer
I know that B is insufficient, but I also think that A is insufficient yet A is the correct answer. Suppose (4x)^1/2=3 then you can pull out a 2 and you have (x)^1/2=3/2 or you can square both sides and you have 4x=9. either way it implies that x is equal to 9/4 which is not an integer. but if (4x)^1/2 = 2 then you have x is equal to 1 which is an integer.
To me this is evidence that both statements together are insufficient. However, the answer is that A is sufficient. Am I being totally stupid or does anyone else agree with my logic? If I am completely off what am I missing?
