Q. Suppose $a,b$ and $c$ are real numbers such that $\frac{a}{b} > 1$ and $\frac{a}{c} < 0$. Which one of the following is true?

A) $a + b - c > 0$
B) $a > b$
C) $(a - c)(b - c) > 0$
D) $a + b + c > 0$
Explanation

(c)
Given condition are $\frac{a}{b} > 1$ and $\frac{a}{c} < 0$
1. $a > 0$ iff $c < 0$ and also $b > 0$
2. $a < 0$ iff $c > 0$ and also $b < 0$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.