If 1 + sin² A = 3 sin A cos A, then what are the possible values of tan A?

Vimal travels a certain distance at a speed of 80 km/hr. If Sohel travels one third of that distance at a speed of 60 km/hr then at what speed he should travel the remaining distance if total time taken by both Vimal and Sohel was same for the given journey?

Find the value of (cosA - sinA)² + (cosA + sinA)²   -

If apples are bought at the rate of 30 for a rupee. How many apples must be sold for a rupee to gain 20%?   

If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up? (Answer in Percent)

What is the minimum number of square marbles required to tile a floor of length 5 meters 78 cm. and width 3 meters 74 cm?  

A shopkeeper bought 25 kg. of pulses at the rate of Rs. 54 kg. He sold forty percent of the total quantity at the rate of Rs. 50 per kg. at what price per kg should he sell the approximately quantity to make 25% overall profit ?

If a² + a + 1 = 0 then the value of a⁹ is.