MCQ Bank
The number of grid points along x-axis is n=10, For the solution of a PDE through finite difference method the valu of i=_____________.
- A) 1,2,3,...,9
- B) 0,1,2,3,...,9,10
- C) 0,1,2,3,...,9
- D) 1,2,3,...,9,10
The Partial Differential Equation \frac{\partial ^ 2 u}{\partial x ^2} + \frac{\partial ^ 2 u}{\partial y ^2} = f(x,y) is
- A) Legendre Differential Equation
- B) Poisson Differential Equation
- C) Cauchy-Euler Differential Equation
- D) Laplace Differential Equation
The subscript (i,j) of w in the grid (see Fig. below) in Finite Difference Scheme for the solution of a PDE, are_________ data:image/png;base64,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
- A) (1,1)
- B) (3,3)
- C) (1,3)
- D) (3,1)
In the finite difference method for solving the Laplace PDE \nabla^2 u = 0, which of the following approximations is used for the Laplacian \nabla^2 u at a grid point (i,j)?
- A) \nabla^2 u \approx \frac{u_{i+1,j} - 2u_{i,j} + u_{i-1,j}}{h^2} + \frac{u_{i,j+1} - 2u_{i,j} + u_{i,j-1}}{h^2}
- B) \nabla^2 u \approx \frac{u_{i+1,j} + u_{i,j+1} - 2u_{i,j}}{h^2}
- C) \nabla^2 u \approx \frac{u_{i+1,j} - u_{i,j}}{h} - \frac{u_{i,j} - u_{i-1,j}}{h}
- D) \nabla^2 u \approx \frac{u_{i+1,j} - u_{i,j}}{h} + \frac{u_{i,j+1} - u_{i,j}}{h}
What was the minimum age of the President of Pakistan according to the Constitution of 1956?
- A) 50 years
- B) 35 years
- C) 40 years
- D) 45 years
Who dismissed Khawaja Nazimuddin's Cabinet?
- A) Ayub Khan
- B) Ghulam Muhammad
- C) Iskandar Mirza
- D) Liaquat Ali Khan
What was the main objective of the Hindu revivalist movements in India?
- A)
- B)
- C)
- D)
When was the Constitution of 1956 promulgated?
- A) 14th August, 1956
- B) 8th June, 1956
- C) 1st July, 1956
- D) 23 March, 1956
Who gave practical implementation to the concept of Two Nation?
- A)
- B)
- C)
- D)
When did the military assume power in Pakistan for the first time?
- A) On 14 August, 1956
- B) On 7 October, 1958
- C) On 23 March, 1956
- D) On 17 February, 1960
Who was called as the ambassador of Hindu-Muslim unity?
- A)
- B)
- C)
- D)
Who was given the power to impeach the President under the 1962 Constitution?
- A) Prime Minister
- B) Cabinet
- C) Senate
- D) National Assembly
In which year All India National Congress was founded?
- A)
- B)
- C)
- D)
What is the minimum age of the President of Pakistan according to the Constitution of 1962?
- A) 55 years
- B) 45 years
- C) 50 years
- D) 40 years
The British won over the Muslim rulers due to their?
- A)
- B)
- C)
- D)
What does BPC stand for?
- A) Basic Primary Constitution
- B) Basic Permanent Committee
- C) Basic Parliament Commission
- D) Basic Principle Committee
The magazines “COMRADE and HAMDARD” were written by?
- A)
- B)
- C)
- D)
In which year Language Movement started in East Pakistan?
- A) 1953
- B) 1952
- C) 1950
- D) 1951
Who gave philosophical explanation to the ideology of Pakistan?
- A)
- B)
- C)
- D)
When did the First Basic Principles Committee present its final report?
- A) In September, 1950
- B) In April, 1950
- C) In December, 1950
- D) In August, 1950