GATE2020 Engg. Mathematics Rapid Quiz 1 (App update required to attempt this test)

India has seen growing corruption, but this is not true always. If a 3-stage process is there in each work, with corruption probability of 0.2, what are the chances one has to face corrupted officer

The divergence of the vector field at (1,1,1) is

The surface integral evaluated over the surface of the sphere , where and is the outward unit normal vector is:

The curve y² = 4x is revolved about the x-axis for . The volume of the solid thus generated is:

Given is the matrix formed by the linearly independent eigen vectors of the matrix Q. The sum of the absolute values of all the elements of the matrix will be:

Given the following three vectors:

The value of such that the vector is :