UPTET 2016 (Paper 2 - Maths & Science ) Previous Year Paper (2016)

In the Inductive method of teaching Mathematics we proceed from

In a pair of adjacent angles: (i) Vertex is always common, (ii) one arm is always common and (iii) uncommon arms are always opposite rays. Then

If the area of an equilateral triangle is $a$ and its height is $b$, then $\frac{b^2}{a}$ is

There are $10$ persons in a party. If each one of them shakes hands with others exactly once, the total number of handshakes is

A horse is tethered to a stake by a rope $30\text{meters}$ long. If the horse moves along the circumference of a circle keeping the rope tight, find how far the horse has gone from the initial point if the rope has traced an angle of $105^{\circ }$ at the centre?