What will be the value of mAB, after solving these equations?

A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1⁄2 and B not solving it is 1⁄4. The whole probability of the problem being solved is 63⁄64 then what is the probability of solving it?

A

1⁄2

B

7⁄8

C

1⁄64

D

1⁄8

The simultaneous linear equations used in FEM for solution of static problems are KX=F, the methods available for solving these equations are divided into two types: direct and iterative.

A

True

B

False

What will be the value of rotation at point B after solving these equations?

A

3.17/EI

B

4.17/EI

C

5.17/EI

D

6.17/EI

What will be the value of mBC, after solving these equations?

A

3.09

B

1.54

C

12.86

D

-3.09

What will be the value of mCB, after solving these equations?

A

3.09

B

1.54

C

12.86

D

-3.09

What will be the value of mBA, after solving these equations?

A

3.09

B

1.54

C

12.86

D

-3.09

In sequential methods for solving coupled equations, except the variable for which the equations are solved, the other variables are treated as ___________

A

zeros

B

unknowns

C

known values

D

ones

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if theyseem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Some polynomials are linear equations.
(II) Some linear equations are quadratic. Conclusion:
(I) Polynomials are quadratic.
(II) Linear equations are quadratic.

A

Conclusion I follows

B

Conclusion II follows

C

Neither I nor II follows

D

Both I and II follows

The figure shows the plot of y as a function of x
Differential Equations mcq question image

The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is

A

$$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} = 1$$

B

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = {\text{x}}$$

C

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = - {\text{x}}$$

D

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = \left| {\text{x}} \right|$$

Which of these methods of solving a system of equations will be needed after using an explicit scheme?

A

Sequential

B

Simultaneous

C

Iterative

D

Direct

What will be the value of mAB, after solving these equations?

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