Evaluate:

A complex number z lies on or within a circle centered at (2, 0) with radius 5 units. What is the maximum value of |z – 2|?

The probability of a student solving a problem correctly is 0.6. Out of 10 independent attempts, what is the probability that he solves at least 8 ?

If sin(3θ) = cos(2θ), find θ.

What is the remainder when 26×28×32 is divided by 25?

If 'x' is a positive integer such that x + 1/x = 2, then find the value of  (x³ + x² − 2x – 6)/(4x⁴ + 2x²

What will be come in place of (?) in the given number series.

1, 8, 27, ?, 125, 216

The set of all bijective functions from a finite set A to itself forms:

Find the area enclosed between the curves y=(x−4)² and y=16−x²over their intersection interval.