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

The value of ${\left[5{\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)}^3\right]}^{\frac{1}{4}}$ is

The price of Petrol increased by $25\%$. In order that expenses on petrol should not increase, one must reduce travel by

The diagonals $AC$ and $BD$ of a parallelogram $ABCD$ intersect each other at the point $O$. If $\angle DAC=32^{\circ }$ and $\angle AOB=70^{\circ }$, then $\angle DBC$ is equal to

It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters $16\text{m}$ and $12\text{m}$. The radius of the new park would be

An edge of a cube measures $r\text{cm}$. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in ${\text{cm}}^3$) is