sin(40° +θ)⋅cos(10° +θ)−cos(40° +θ)⋅sin(10° +θ) is equal to

Five men and 2 boys can do as much work in 30 days as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?

An increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for Rs 40. The price of 15 mangoes before increase was

If \(cosπx=x^2-x+ {5 \over 4}\), the value of \(x\) will be