Q.1
Numerical techniques more commonly involve _______
  • a) Elimination method
  • b) Reduction method
  • c) Iterative method
  • d) Direct method
Q.2
Which of the following is an iterative method?
  • a) Gauss Seidel
  • b) Gauss Jordan
  • c) Factorization
  • d) Gauss Elimination
Q.3
Solve the equations using Gauss Jordan method.
  • a) x=1, y=3, z=7
  • b) x=1, y=3, z=2
  • c) x=1, y=3, z=4
  • d) x=1, y=3, z=5
Q.4
Errors may occur in performing numerical computation on the computer due to which of the following reasons?
  • a) Operator fatigue
  • b) Back substitution
  • c) Rounding errors
  • d) Power fluctuation
Q.5
Which of the following is also known as the Newton Raphson method?
  • a) Chord method
  • b) Tangent method
  • c) Diameter method
  • d) Secant method
Q.6
If approximate solution of the set of equations, 2x+2y-z =x+y+= 8 and -x+3y+=is given by x = 2.8 y = 1 and z = 1.Then, what is the exact solution?
  • a) x = 1, y = 3, z = 2
  • b) x = 2, y = 3, z = 1
  • c) x = 3, y = 1, z = 2
  • d) x = 1, y = 2, z = 2
Q.7
Which of the methods is a direct method for solving simultaneous algebraic equations?
  • a) Relaxation method
  • b) Gauss seidel method
  • c) Jacobi’s method
  • d) Cramer’s rule
Q.8
If EF exists, then (EF)-1 will be equal to which of the following?
  • a) F-1 E-1
  • b) E-1 F-1
  • c) EF
  • d) FE
Q.9
Solve the following equations by Gauss Elimination Method.
  • a) x = 1.64491, y = 1.15085, z = 2.09451
  • b) x = 1.64691, y = 1.14095, z = 2.08461
  • c) x = 1.65791, y = 1.14185, z = 2.08441
  • d) x = 1.64791, y = 1.14085, z = 2.08451
Q.10
Which of the following is the advantage of using the Gauss Jordan method?
  • a) Additional Calculations
  • b) No labour of back substitution
  • c) More operations involved
  • d) Elimination is easier
Q.11
Apply Gauss Elimination method to solve the following equations.
  • a) X = -13, y = 1, z = -8
  • b) X = 13, y = 1, z = -8
  • c) X = -13, y = 4, z = 15
  • d) X = 5, y = 14, z = 5
Q.12
Matrix which does not have an inverse by solving it, is classified as which of the following?
  • a) singular matrix
  • b) non-singular matrix
  • c) linear matrix
  • d) unidentified matrix
Q.13
Which of the following transformations are allowed in the Gauss Jordan method?
  • a) Swapping a column
  • b) Swapping two rows
  • c) Swapping two columns
  • d) Swapping a row
Q.14
The Gauss Jordan method reduces a original matrix into a _____________
  • a) Skew Hermitian matrix
  • b) Non-symmetric matrix
  • c) Identity matrix
  • d) Null matrix
Q.15
Solve the given equations using Gauss Jordan method.
  • a) x=1, y=0.33, z=1.67
  • b) x=0.33, y=1, z=1.67
  • c) x=0.33, y=1.67, z=1
  • d) x=1.67, y=1, z=0.33
Q.16
What is the other name for factorization method?
  • a) Muller’s Method
  • b) Decomposition Method
  • c) Lin Bairstow Method
  • d) Doolittle’s Method
Q.17
Apply Cramer’s rule to solve the following equations.
  • a) x = 1.2, y = 2.2, z = -3.2
  • b) x = 1.2, y = 2, z = 3.2
  • c) x = 1.5, y = 2.2, z = -0.5
  • d) x = 1.5, y = 2.2, z = -0.5
Q.18
Cramer’s Rule fails for ___________
  • a) Determinant = 0
  • b) Determinant = non-real
  • c) Determinant < 0
  • d) Determinant > 0
Q.19
Gauss Seidal method is also termed as a method of _______
  • a) Iterations
  • b) False positions
  • c) Successive displacement
  • d) Eliminations
Q.20
Solve the following equation by Gauss Seidal Method up to 2 iterations and find the value of z.
  • a) 0
  • b) 1.92
  • c) 1.88
  • d) 1.22
0 h : 0 m : 1 s