Bunuel wrote:
Is \(a + b = 0\) ?
(1) \(\frac{a}{b} > 1\)
(2) \(ab > 1\)
Question: Is a+b = 0 ?Hint: a+b will be zero only if
1) one of a and b is positive and other is negative with equal absolute values OR
2) both a and b are zeroStatement 1: \(\frac{a}{b} > 1\)i.e. 1) a and b are both non-zero (a can't be zero because a/b must be greater than 1, b can't be zero as a/b will be Undefined)
2) a and b are both negative or both positive hence
a+b will be positive or Negative but can NOT be zero
SUFFICIENTStatement 2: \(ab > 1\)i.e. a and b are both non-zero and a and b both will be either positive or both will be negative
a+b will be positive or Negative but can NOT be zero
SUFFICIENTAnswer: Option D
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