If $${cos^2θ\over cot^2θ-cos^2θ}=3,$$ where $${0^0<θ<90^0}$$ then the value of θ is:

The price of a variety of a commodity is ₹7/kg and that of another is ₹12/kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is ₹10/kg.

A dealer sold an article at a loss of 2%. Had he sold it for ₹44 more, he would have gained 20%. Find the cost price of the article.

$${2}=x+{1\over{1+{1\over5+{1\over{2}}}}}$$ then the value of x is equal to:

Evaluate the following:
5 - [96 ÷ 4 of 3 - (16 - 55 ÷ 5)]

In a triangle ABC, D is a point on BC such that $${AB\over AC}={BD\over DC}.$$ If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

 If $${1\over 4.263}=0.2346$$, find the value of $${1\over0.0004263}.$$

The value of $$5-{8+2\sqrt{15} \over4}-{{1}\over8+2\sqrt{15}}$$ is equal to: