UPTET 2017 (Paper 2 - Maths & Science ) Previous Year Paper (2017)

If the roots of the equation $x^2-bx+c=0$ are two consecutive integers, then $b^2-4c$ is

The HCF and LCM of two numbers are $13$ and $1989$ respectively. If one of the numbers is $117$, then the other number is

Jatin buys an article for $10\%$ less than its value and sells it for $10\%$ more than its value. His gain is

If the roots of the equation $x^2-px+54=0$ are in the ratio $2:3$, then the value of $p$ is

The ratio of the heights of two right circular cones is $25:64$ and the ratio of their diameters is $4:5$. The ratio of their volumes is