Data Sufficiency

If # denotes one of two arithmetic operations, addition or multiplicatio, and if k is an integer, what is the value of 3 # k?

1) 2 # k =3
2) 1 # 0 = k

OA is A.

I answered E.

Please explain your reasoning.

With the stem, we know k is an integer.
From statement 1, 2#k=3 we can deduce that # is addition and k can take the value of 1 only.
From the second statement, we cannot say what the sign is or what the value of k can be. Not Sufficient.

So the answer is A.

skalevar wrote:If # denotes one of two arithmetic operations, addition or multiplicatio, and if k is an integer, what is the value of 3 # k?

1) 2 # k =3
2) 1 # 0 = k

OA is A.

I answered E.

Please explain your reasoning.

The option in the DS question is sufficient only if it yields a single value for the unknown.

With Statement one: K could have only one value to satisfy the given equation. That is k could be only 1 and the operation could be only addition with the given constraints in the question.

With Statement two: K could be either 1 with # being addition or 0 when # is multiplication. Hence the original question 3#k could have two values. Hence this statement is not sufficient.

skalevar wrote:If # denotes one of two arithmetic operations, addition or multiplicatio, and if k is an integer, what is the value of 3 # k?

1) 2 # k =3
2) 1 # 0 = k

OA is A.

I answered E.

Please explain your reasoning.

I think you forgot to consider that K is an integer and hence, for stmt. I: k can not be 3/2.