A solid hemisphere is of radius 11 cm. The curved surface area in sq. cm is

(1) 1140.85

The shadow of a tower is $\sqrt{3}$ times its height. Then the angle of elevation of the top of the tower is

For what value of N, 270N will be a perfect square, where 270N is a 4-digit number?

How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?

In a right angled $\triangle \mathrm{ABC}, \angle \mathrm{ABC}=90^{\circ}$; $\mathrm{BN}$ is perpendicular to $\mathrm{AC}, \mathrm{AB}=6 \mathrm{~cm}, \mathrm{AC}=10 \mathrm{~cm}$. Then AN : NC is

If $x$ is real, $x+\frac{1}{x} \neq 0$ and $x^{3}+\frac{1}{x^{3}}=0$, then the value of $\left(x+\frac{1}{x}\right)^{4}$ is

What is the value of $999 \frac{1}{2}+999 \frac{1}{6}+999 \frac{1}{12}+$ $999 \frac{1}{20}+999 \frac{1}{30} ?$

What least value should be added to 2505, so that it becomes a perfect square?

A and B can separately do a piece of work in 6 days and 12 days respectively. How long will they together take to do the work ?

If $7 \sin ^{2} \theta+3 \cos ^{2} \theta=4\left(0^{\circ} \leq \theta \leq 90^{\circ}\right)$, then value of $\theta$ is