Test: Engineering Mathematics & General Aptitude- 1 - Civil Engineering (CE)

Consider two sets of vectors P and Q as

P = {(2,-1,3,2), (1,3,4,2), (3,-5,2,2)}
Q = {(.1,2,-1,0), (1,3,1,2), (4,2,1,0), (6,1,0,1)}

Which of the following is true?

Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has 4 vertices and 6 edges, G2 has 6 vertices and 10 edges. Then number of edges in (G1 intersection G2) and (G1 union G2) are respectively

Which of the following propositions is a tautology?

The minimum number of connected components of a simple graph with 20 vertices and 12 edges is

Which of the following graphs has a Hamiltonian circuit?

The proposition logically equivalent to

Investigate the values of λ and μ so that the equations

2x+3y+5z = 9, 7x+3y-2z = 8, 2x+3y+λ z = μ

have an infinite number of solutions.

A complex (P+ iQ, P,Q : real numbers) n x n matrix A is said to be unitary if AA° = I_n, where If A be a unitary matrix, then which of the following is true?

Consider the function

At how many points, f(x) Is discontinuous?

Evaluate the integral

Consider the following matrix:

Determine the eigen values of the given matrix.

Consider the function f (x) = 2x³ - 9x² + 12x -12

The function attains minima at x =