Question

If ${\log }_{2}N=4+b_1$ and ${\log }_{3}N=2+b_2$ where $b_1,b_2\in [0,1)$, then largest integral value of $N$ is

• A. 9
• B. 11
• C. 16
• D. 26

Answer 1

Answer: (D)

$2^4\le N<2^5$ and $3^2\le N<3^3$
$\therefore$ common value is $16\le N<27$
$\therefore$ largest integral value of $N=26$.