Data Sufficiency

swerve wrote:If a and b are integers, what is the value of a+b?

1) \(a\cdot b=1\)
2) \(\frac{a}{b}=1\)

The OA is E

Source: Economist GMAT

Let's take each statement one by one.

1) \(a\cdot b=1\)

Case 1: Say a = b = 1, then a + b = 2.
Case 2: Say a = b = -1, then a + b = -2.

No unique answer. Insufficient.

2) \(\frac{a}{b}=1\);

Case 1: Say a = b = 1, then a + b = 2.
Case 2: Say a = b = -1, then a + b = -2.

No unique answer. Insufficient.

Even after combining both statements, we cannot get the unique value of a + b. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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