Mechanical Engineering MCQ Question Papers: DRDO, ISRO, Interview

Subject: Numerical Methods and Optimization 2

**Part 2: List for questions and answers of Numerical Methods and Optimization**

**Q1.In which of the following method, we approximate the curve of solution by the tangent in each interval**

a) Picard’s method

b) Euler’s method

c) Newton’s method

d) Runge Kutta method

**Q2.Jacobi’s method is also known as**

a) Displacement method

b) Simultaneous displacement method

c) Simultaneous method

d) Diagonal method

**Q3.The number of significant digits in the number 204.020050 is**

a) 5

b) 6

c) 8

d) 9

**Q4.In general the ratio of truncation error to that of round off error is**

a) 2:1

b) 1:1

c) 1:2

d) 1:3

**Q5.The convergence of which of the following method is sensitive to starting value?**

a) False position

b) Gauss seidal method

c) Newton-Raphson method

d) All of these

**Q6.To perform a Chi-square test**

a) Data conform to a normal distribution

b) Data be measured on a nominal scale

c) Each cell has equal number of frequencies

d) All of these

**Q7.In the Gauss elimination method for solving a system of linear algebraic equations, triangularzation leads to**

a) Diagonal matrix

b) Lower triangular matrix

c) Upper triangular matrix

d) Singular matrix

**Q8.The expected value of the random variable**

a) Will also be the most likely value of the random variable

b) Is another term for the mean value

c) Is also called the variance

d) Cannot be greater than 1

**Q9.MCQ. For partial differential equation, if b^2 – 4ac = 0 then equation is called**

a) Hyperbolic

b) Parabolic

c) Elliptic

d) None of these

**Q10.Boundary condition which include derivative of boundary value is**

a) Dirichlet boundary condition

b) Neumann boundary condition

c) Forced boundary condition

d) Discrete boundary condition

**Q11.In an aero plane, angle between wing chord line and flight path is called**

a) Angle of attack

b) Angle of elevation

c) Angle of wing

d) Angle of chord

**Q12.When mach number Ma = 1, flow is in**

a) Subsonic regime

b) Super sonic regime

c) Sonic regime

d) Hypersonic regime

**Q13.A partial differential equation has**

a) One independent variable

b) Two or more independent variables

c) More than one dependent variable

d) Equal number of dependent and independent variables

**Q14.Solve equation: 4x^2 + 36x + 81**

a) X = 9⁄2, x = 9⁄2

b) X = -9⁄2, x = 9⁄2

c) X = -9⁄2, x = -9⁄2

d) None of above

**Q15.Solve equation: x^2 + 6x – 7 = 0**

a) X = -6, x = -1

b) X = -6, x = 1

c) X = 6, x = -1

d) X = 6, x = 1

**Q16.Solve equation: x^2 + 3x**

a) X = -3

b) X = 0, x = -3

c) X = 3

d) X = 0, x = 3

**Q17.Solve equation: x^2 – 3x**

a) X = -3

b) X = 0, x = -3

c) X = 3

d) X = 0, x = 3

**Q18.Find by using formula roots for following equation: ax^2 + bx + c**

a) (-b±p(b2 – 4ac)) ⁄ 2a

b) (b ±p(b2 – 4ac)) ⁄ 2a

c) (-b ±p(b2 + 4ac)) ⁄ 2a

d) (-b ±p(b2 – 4c)) ⁄ 2a

**Q19.If one root of equation: x^2 – 3x + a = 0 is 2, then**

a) A = -2

b) A = 2

c) A = 0

d) A = -3

**Q20.If a polynomial of degree n has more than n zeros, then the polynomial is**

a) Oscillatory

b) Zero everywhere

c) Quadratic

d) Not defined Solution

**Part 2: List for questions and answers of Numerical Methods and Optimization**

Q1. Answer: b

Q2. Answer: b

Q3. Answer: d

Q4. Answer: a

Q5. Answer: c

Q6. Answer: d

Q7. Answer: c

Q8. Answer: b

Q9. Answer: b

Q10. Answer: b

Q11. Answer: a

Q12. Answer: c

Q13. Answer: b

Q14. Answer: c

Q15. Answer: d

Q16. Answer: b

Q17. Answer: d

Q18. Answer: a

Q19. Answer: b

Q20. Answer: b