For the following questions answer them individually
Project Loon is a search engine project by ....... for providing internet access to rural and remote areas using high-altitude helium-filled balloons.
The HCF of two numbers is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers.
E and F can do a work in 10 days. If E alone can do it in 30 days, F alone can do it in days.
$$2 \cos (\theta - \frac{\pi}{2}) + 3 \sin (\theta + \frac{\pi}{2}) - (3\sin \theta + 2 \cos \theta)$$ = ?