Correct Answer: E
Explanation:
Arithmetic operations: If the units digit of nis greater than 2, then it can
only be the digits 3, 4, 5, 6, 7, 8, or 9.
- (1) To solve this problem, it is necessary to find a digit that is the same as the units digit of
its square. For example, both 43 squared (1,849) and 303 squared (91,809) have a units digit of 9,
which is different from the units digit of 43 and 303. However, 25 squared (625) and 385 squared
(148,225) both have a units digit of 5, and 16 and 226 both have a units digit of 6 and their squares
(256 and 51,076, respectively) do, too. However,there is no further information to choose between 5 or 6; NOT sufficient.
- (2) Once again, 5 and 6 are the only numbers
which, when cubed, will both have a 5 or 6
respectively in their units digits. However, the
information given does not distinguish between
them; NOT sufficient.
Since (1) and (2) together yield the same
information but with no direction as to which to
choose, there is not enough information to
determine the answer.
The correct answer is E;
both statements together are still not sufficient.