In the figure given below, the diameter of the bigger semicircle is $108 \mathrm{cm}$. What is the area of the shaded region?

In the figure given below, $ABC$ is an equilateral triangle with each side of length $30 \mathrm{cm}. XY$ is parallel to$BC, XP$ is parallel to $AC$ and $YQ$ is parallel to $AB$. If $XY+XP+YQ$ is $40 \mathrm{cm}$, then the value of $PQ$ is______.

In the figure given below, $ABCD$ is a square of side $4 \mathrm{cm}$. Quadrants of a circle of diameter $2 \mathrm{cm}$ are removed from the four corners and a circle of diameter $2 \mathrm{cm}$ is also removed. What is the area of the shaded region ? 

The following sentence has a blank space and four words or groups of words given after the sentences. Select the words or group of words you consider most appropriate for the blank space.

My teacher was_____us for being late.

The following sentence has a blank space and four words or groups of words given after the sentences. Select the words or group of words you consider most appropriate for the blank space.

Sandhya_____me from the top of the house.

The following sentence has a blank space and four words or groups of words given after the sentences. Select the words or group of words you consider most appropriate for the blank space.

Ravi has the habit of_____a headache.

The following sentence has a blank space and four words or groups of words given after the sentences. Select the words or group of words you consider most appropriate for the blank space.

I always want to go alone for a ride, but my mother_______going with my brother.

The following sentence has a blank space and four words or groups of words given after the sentences. Select the words or group of words you consider most appropriate for the blank space.

 The new student found it difficult to_________with his classmates.

The following sentence has a blank space and four words or groups of words given after the sentences. Select the words or group of words you consider most appropriate for the blank space.

 The visiting Diplomat________the Prime Minister.