Question

Let $9G{M}^{\prime }s$ are inserted between $100$ and $3200$ . Then number of rational GM's are

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (D)

$3200=100r^{10}$
$\Rightarrow r=\pm \sqrt{2}$
Consider $r=2^{\frac{1}{2}}$
$\Rightarrow G_1=100r=100\sqrt{2}$ (not rational)
$\Rightarrow G_2,G_4,G_6,G_8$ are rational terms