Find the square root of $2\frac{1}{12}$ correct to three decimal places. $\left(\mathrm{Take} \sqrt{3} = 1.732\right)$

A car travels $60 \mathrm{km}$ in $1 \mathrm{hr} 30 \min$. How long will it take to cover a distance of $100 \mathrm{km}$ at the same speed?

Rajni purchased a music system at $₹48,000$ including VAT. If the cost price of the music system was  $₹40,000$, what is the VAT (in %) has she paid? 

A dinner set was bought for $₹2464$ after getting a discount of $12\%$ on its marked price. If the marked price of the dinner set is $₹k$, then find the value of $k$.

If $x+\frac{1}{x}=5$, find the value of $x^3+\frac{1}{x^3}$.

Factorize: $4x^2-1-6y-9y^2$.

Divide a line segment $\mathrm{AB}=5.5 \mathrm{cm}$ in the ratio $4 : 3$ internally. Write steps of construction also.

Draw the histogram of the following data: