CUET Mathematics Mock Test - 4

A boat takes 2 hours to go 16 km downstream; while covering the same distance upstream, it takes 4 hours. What is the speed of the current?

If Rolle's theorem holds for the function $f(x)=x^3-a{x}^2+bx-4,x\in [1,2]$ with $f^{\prime }(4/3)=0$, then the ordered pair $(a,b)$ is equal to:

If $\sum p_0{q}_0=160$, $\sum p_0{q}_1=250$, $\sum p_1{q}_0=200$ and $\sum p_1{q}_1=288$, then Fisher's ideal index number is:

If $y=4x-5$ is tangent to the curve $y^2=p{x}^3+q$ at $(2,3)$, then:

The maximum slope of the curve $y=\frac{1}{2}{x}^4-5x^3+18x^2-19x$ occurs at the point: