National Testing Agency
| Question Paper Name : | Numerical Methods in Civil Eng |
| Subject Name : | Numerical Methods in Civil Eng |
| Creation Date : | 2020-09-15 13:26:33 |
| Duration : | 180 |
| Total Marks : | 100 |
| Display Marks: | Yes |
| Share Answer Key With Delivery Engine : | Yes |
| Actual Answer Key : | Yes |
Numerical Methods in Civil Engineering
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| Group Number : | 1 |
| Group Id : | 89951415 |
| Group Maximum Duration : | 0 |
| Group Minimum Duration : | 120 |
| Show Attended Group? : | No |
| Edit Attended Group? : | No |
| Break time: | 0 |
| Group Marks : | 100 |
| Is this Group for Examiner? : | No |
Numerical Methods in Civil Engineering
| Section Id : | 89951415 |
| Section Number : | 1 |
| Section type : | Online |
| Mandatory or Optional : | Mandatory |
| Number of Questions : | 70 |
| Number of Questions to be attempted : | 70 |
| Section Marks : | 100 |
| Display Number Panel : | Yes |
| Group All Questions : | Yes |
| Mark As Answered Required? : | Yes |
| Sub-Section Number : | 1 |
| Sub-Section Id : | 89951424 |
| Question Shuffling Allowed : | Yes |
Question Number : 1 Question Id : 8995141126 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Following two statements are made.
Statement 1: Explicit Euler's method is unconditionally stable.
Statement 2: Implicit Euler's method is conditionally stable.
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State whether the statements 1 and 2 are True or False, without altering the statements.
(a) True, True
(b) False, False
(c) True, False
(d) False, True
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Options:
8995144480. 1
8995144481. 2
8995144482. 3
8995144483. 4
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Question Number : 2 Question Id : 8995141127 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Classify differential equation uxx + (ln x)uy = sin(xy).
(a) 2nd order linear homogeneous PDE
(b) 2nd order linear non-homogeneous PDE
(c) 2nd order quasi linear non-homogeneous PDE
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(d) 2nd order quasi linear homogeneous PDE
Options:
8995144484. 1
8995144485. 2
8995144486. 3
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8995144487. 4
Question Number : 3 Question Id : 8995141128 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
How many minimum number of Gauss points are needed in x and y respectively for exact integration of
I = ?(15x5 + 20x3y2 - 20x2y3 + 16x3y3 – 15y3) dxdy
(a) 2 and 3
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(b) 3 and 4
(c) 3 and 2
(d) 4 and 3
Options:
8995144488. 1
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8995144489. 2
8995144490. 3
8995144491. 4
Question Number : 4 Question Id : 8995141129 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Average acceleration method is ________________ stable and Linear acceleration is ________________ stable.
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(a) Conditionally, Unconditionally
(b) Unconditionally, Unconditionally
(c) Conditionally, Conditionally
(d) Unconditionally, Conditionally
Options:
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8995144492. 1
8995144493. 2
8995144494. 3
8995144495. 4
Question Number : 5 Question Id : 8995141130 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
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Runge-Kutta methods are primarily used to solve ________________ order differential equations pertaining to ________________ Value Problem.
(a) 1st, initial
(b) 1st, eigen
(c) 1st, boundary
(d) nth (n = 1), boundary
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Options:
8995144496. 1
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8995144498. 3
8995144499. 4
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Question Number : 6 Question Id : 8995141131 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Choose the correct option regarding condition number (CN) for a function f(x):
(a) CN=1 denotes that relative error of f(x) is identical to relative error of x
(b) CN>1 denotes that small change in x causes larger change in f(x)
(c) CN>>1 denotes that function is ill-conditioned
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(d) All of the above
Options:
8995144500. 1
8995144501. 2
8995144502. 3
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8995144503. 4
Question Number : 7 Question Id : 8995141132 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
First degree spline uses concept of ________________ continuum and second degree spline uses concept of ________________ continuum.
(a) C0, C1
(b) C1, C0
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(c) C1, C1
(d) C0, C0
Options:
8995144504. 1
8995144505. 2
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8995144506. 3
8995144507. 4
Question Number : 8 Question Id : 8995141133 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
For a groundwater flow modelling, which is the possible "excitation"?
(a) Permeability
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(b) Pumping
(c) Recharge
(d) Pumping and recharge
Options:
8995144508. 1
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8995144509. 2
8995144510. 3
8995144511. 4
Question Number : 9 Question Id : 8995141134 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
In Mathematical modeling, which one of the following is the best solution
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(a) Analytical solution
(b) Numerical solution
(c) Scaled model solution
(d) Semi-analytical solution
Options:
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8995144512. 1
8995144513. 2
8995144514. 3
8995144515. 4
Question Number : 10 Question Id : 8995141135 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
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What is a Cauchy boundary condition?
(a) Value specified
(b) Slope specified
(c) Both Value and Slope specified
(d) None of the above
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Options:
8995144516. 1
8995144517. 2
8995144518. 3
8995144519. 4
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Question Number : 11 Question Id : 8995141136 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
An aquifer is bounded by a river on one side. The water levels in the river and are assumed to be constant during the period of study. What boundary condition does this represent?
(a) Dirichlet
(b) Neumann
(c) Cauchy
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(d) None of the above
Options:
8995144520. 1
8995144521. 2
8995144522. 3
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8995144523. 4
Question Number : 12 Question Id : 8995141137 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Which of the following is NOT a weighted residual method?
(a) Galerkin method
(b) Rayleigh Ritz method
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(c) Method of Least Squares
(d) Method of Point Collocation
Options:
8995144524. 1
8995144525. 2
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8995144526. 3
8995144527. 4
Question Number : 13 Question Id : 8995141138 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Following statements are made.
i. Well posed problem may have multiple solutions.
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ii. The discriminant of an elliptic equation is greater than 0.
iii. If ? is forward difference operator, ? is backward difference operator and d is central difference operator, then, ?y0 = ?y1 = dy1/2.
iv. Taylor series is the basis for FDM.
Which of the following is correct?
(a) Statements ii, iii and iv are correct
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(b) Only statements i and ii are correct
(c) All statements are correct
(d) Only statements iii and iv are correct
Options:
8995144528. 1
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8995144529. 2
8995144530. 3
8995144531. 4
Question Number : 14 Question Id : 8995141139 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
In Boundary Element Method (BEM), a 3-D problem is solved computationally as a:
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(a) 1D problem
(b) 2D problem
(c) 3D problem
(d) None of the above
Options:
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8995144532. 1
8995144533. 2
8995144534. 3
8995144535. 4
Question Number : 15 Question Id : 8995141140 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
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The BEM is based on:
(a) Green's theorem
(b) Taylor's theorem
(c) Gauss method
(d) Jacobi's theorem
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Options:
8995144536. 1
8995144537. 2
8995144538. 3
8995144539. 4
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Question Number : 16 Question Id : 8995141141 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
How pumping/recharge is considered in BEM simulation:
(a) As distributed throughout the domain
(b) As point source/ sink
(c) As a boundary condition
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(d) None of the above
Options:
8995144540. 1
8995144541. 2
8995144542. 3
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8995144543. 4
Question Number : 17 Question Id : 8995141142 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
In Dual Reciprocity Boundary Element Method, the time component equations is approximated as:
(a) Laplace equation
(b) Helmholtz equation
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(c) Poisson equation
(d) Wave equation
Options:
8995144544. 1
8995144545. 2
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8995144546. 3
8995144547. 4
Question Number : 18 Question Id : 8995141143 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
What is the advantage of Boundary Element Method?
(a) Computational dimension of problem is reduced by 1
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(b) Computational dimension of problem is reduced by 2
(c) The problem of meshing and remeshing is resolved
(d) None of the above
Options:
8995144548. 1
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8995144549. 2
8995144550. 3
8995144551. 4
Question Number : 19 Question Id : 8995141144 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Locking and inter-connectivity is a problem in:
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(a) Finite element method
(b) Meshfree method
(c) Finite difference method
(d) Boundary element method
Options:
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8995144553. 2
8995144554. 3
8995144555. 4
Question Number : 20 Question Id : 8995141145 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 0
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Which of the following statements is not true regarding support domain?
(a) Support domain is also called the influence domain
(b) The value of shape function is considered to be zero outside the support domain
(c) The support domain in a meshfree method can be of various sizes and shapes
(d) Support domain has no effect on the accuracy of the meshfree method
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Options:
8995144556. 1
8995144557. 2
8995144558. 3
8995144559. 4
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Question Number : 21 Question Id : 8995141146 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
In BEM, fundamental solution satisfies the governing equation at
(a) Source point
(b) Points inside the domain
(c) Everywhere except source point
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(d) None
Options:
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8995144561. 2
8995144562. 3
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8995144563. 4
Question Number : 22 Question Id : 8995141147 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Following statements are made with respect to BEM and FEM.
i. BEM can be applied only when a fundamental solution is available
ii. BEM has wider applications than FEM and can replace FEM
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iii. BEM always has a simpler numerical implementation when compared
Which one of the following option depicts correct statements?
(a) Only i
(b) Only ii
(c) Only ii and iii
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(d) i, ii and iii
Options:
8995144564. 1
8995144565. 2
8995144566. 3
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8995144567. 4
Question Number : 23 Question Id : 8995141148 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
The homogeneous and heterogeneous part of DRBEM gives, respectively,
(a) Indirect and direct solutions
(b) Direct and indirect solutions
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(c) Complementary and particular solutions
(d) Particular and complementary solutions
Options:
8995144568. 1
8995144569. 2
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8995144570. 3
8995144571. 4
Question Number : 24 Question Id : 8995141149 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Which of the following statements is INCORRECT?
(a) In indirect method of BEM, the solution is obtained by superposition of fundamental solutions
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(b) Indirect method uses Divergence theorem
(c) In the indirect method, the source points are forced to satisfy the boundary conditions and the governing equation
(d) In the direct method, the functions in the boundary integral equation have no physical implication
Options:
8995144572. 1
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8995144573. 2
8995144574. 3
8995144575. 4
Question Number : 25 Question Id : 8995141150 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
The ideal requirement of a meshfree method is that
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(a) No mesh is required in the process of interpolation
(b) No mesh is required in the process of integration
(c) No mesh is required in the process of assembly into global matrix
(d) No mesh is required throughout the formulation and solution
Options:
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8995144577. 2
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8995144579. 4
Question Number : 26 Question Id : 8995141151 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
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Which of the following statements is correct?
(a) Support domain size effects only the accuracy of the solution and computational efficiency
(b) Support domain must be circular in shape for weak form mesh free methods
(c) Support domain is usually centred at the point of interest
(d) A dimensionless size of support domain of 3-4 gives good results
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Options:
8995144580. 1
8995144581. 2
8995144582. 3
8995144583. 4
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Question Number : 27 Question Id : 8995141152 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
In the Moving Least Squares Method, the unknown coefficient matrix is determined by
(a) Minimizing the L1 norm
(b) Minimizing the L2 norm
(c) By taking a = P-1U, where a is unknown coefficient matrix, P is basis and U is matrix of field variables at nodal points
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(d) By taking a = PU-1, where a is unknown coefficient matrix, P is basis and U is matrix of field variables at nodal points
Options:
8995144584. 1
8995144585. 2
8995144586. 3
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8995144587. 4
Question Number : 28 Question Id : 8995141153 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Which of the following is a strong form meshfree method?
(a) Element free Galerkin
(b) Collocation
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(c) Meshless Local Petrov Galerkin
(d) Meshfree weak strong
Options:
8995144588. 1
8995144589. 2
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8995144590. 3
8995144591. 4
Question Number : 29 Question Id : 8995141154 Question Type : MCQ Option Shuffling : No Display Question Mandatory : No Single Line Question Option : No Option Orientation : Vertical Correct Marks : 1 Wrong Marks : 0
Which of the following statements is INCORRECT?
(a) In successive over relaxation method, more weightage is given to the value of field variable at the current node than the value at the surrounding nodes
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(b) Jacobi method is twice as fast as Gauss-Siedel method
(c) The accuracy of the solutions can be improved by using iterative methods
<This download link is referred from the post: ARPIT Last 10 Years 2011-2021 Previous Question Papers
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