Question

If abc > 0, such that a,b,c are integers then which of the following must be true?

• A. \(\frac{a}{b}\lt0\)
• B. \(\frac{ab}{c}\gt0\)
• C. bc < 0
• D. a > bc

Answer 1

The Correct Option is B

Given \(abc > 0\), the product of a, b, and c is positive.
Consequently, a and b share the same sign (either both positive or both negative).
Thus, the product ab is positive, and \(\frac{ab}{c}\) is also positive.