If a * b * c means (a+b)/c for all numbers except 0 , then (a * b * c) * a * b is equal to

ABC26GN1181 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

If $a * b * c$ means $\frac{a+b}{c}$ for all numbers except 0 , then $(a * b * c) * a * b$ is equal to

(a)0

(b)1

(c)$\frac{a+b+c}{a b}$

(d)$\frac{a+b+a c}{b c}$

(e)$\frac{a b+b c+c a}{a+b+c}$

Answer

Answer (as printed): D

Explanation

$(a * b * c) * a * b=\left(\frac{a+b}{c}\right) * a * b=\frac{\left(\frac{a+b}{c}\right)+a}{b}=\frac{a+b+a c}{b c}$.

Explanation as extracted from the printed page; notation may be imperfect.