For the following questions answer them individually
If $$4\tan \theta = 3$$, then $$\frac{4\sin \theta - \cos \theta + 1}{4\sin \theta + \cos \theta - 1}$$ = ____________.
The percentage distribution of employees in different categories in a company is shown by the following pie chart.
What is the central angle corresponding to the employees of Group-B?
If $$\left(a+1\right)^{2} + \left(a+2\right)^{2} = 16$$ then what is the value of $$40 + 12a + 4a^{2}$$
12 men and 12 women can complete a piece of work in 9 days. 6 men and 15 women can complete the same work in 12 days. How long (in days) would it take 9 women to complete half the work?
Two trains are moving in the same direction at the speed of 36 km/hr and 48 km/hr. The time taken by faster train to cross a man sitting in the slower train is 33 seconds. What will be the length of the faster train?