How many common tangents can be drawn on two circles touching each other externally?

If $\tan A=\frac{1}{3}$ and $\tan B=\frac{2}{5}$, what is the value of $\tan \left(2A+B\right)$?

From $40 m$ away from the foot of a tower, the angle of elevation of the top of the tower is $60$. What is the height of the tower?

If the price of sugar increases by $20\%$, one can buy $2 kg$ less for $Rs. 50$. What is the amount of sugar that could be bought belore price hike?

In how many years will a sum of $₹800$ at $10\%$ per annum compounded semi-annually become $₹926.10$?

The number of coins of radius $0.75 cm$ and thickness $0.2 cm$ required to be melted to make a right circular cylinder of height $8 cm$ and base radius $3 cm$ is:

What is the curved surface area (in-$c{m}^2$) of a cylinder having radius of base as $14 cm$ and height as $10 cm$?

Study the following bar graph carefully to answer the questions.

The yield per acre of India is what percent more than that of Pakistan?

Study the following bar graph carefully to answer the questions.

If the yield per acre is arranged in ascending order, then what is the difference between the yield per acre of first three countries and last three countries?