Question

Let $p$ be the integral part of ${\log }_{3}108$ and $q$ be the integral part of ${\log }_{5}375$ then $(p+q-pq)$ has the value equal to

• A. -12
• B. -5
• C. 5
• D. 19

Answer 1

Answer: (B)

$4<{\log }_{3}108<5\Rightarrow p=4$ and $3<{\log }_{5}375<4\Rightarrow q=3$
$\therefore p+q-pq=7-12=-5$.