Hello,
Just wondering whether this is categorized as an arithmetic DS problem or number properties?
If x, y are integers, is x = y?
(1) xy = y^2
(2) x^2 = y^2
I've been considering it as number properties since you have to think about the properties of certain numbers that could be used and how they change when squared. The answer, by the way, is C. (1) is insufficient because when y = 2, the answer is yes and when y = 0, the answer is no (since x can be any integer in this case). (2) is insufficient because x can be -2 while y is 2 and the statement still holds true or x = 2 and y = 2 and the statement still holds true. (1) and (2) together are sufficient since y can no longer be 0 with x being any other integer in statement (1) because statement (2) would not hold true.
Just wondering whether this is categorized as an arithmetic DS problem or number properties?
If x, y are integers, is x = y?
(1) xy = y^2
(2) x^2 = y^2
I've been considering it as number properties since you have to think about the properties of certain numbers that could be used and how they change when squared. The answer, by the way, is C. (1) is insufficient because when y = 2, the answer is yes and when y = 0, the answer is no (since x can be any integer in this case). (2) is insufficient because x can be -2 while y is 2 and the statement still holds true or x = 2 and y = 2 and the statement still holds true. (1) and (2) together are sufficient since y can no longer be 0 with x being any other integer in statement (1) because statement (2) would not hold true.
