LECTURER MATHEMATICS PAST PAPERS AND SYLLABUS
Lecturer Past Papers
چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- Rich
- Miserable
- Happy
- Extravagant
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Explanation
Frugal means کفایت شعار یا کم خرچ
Rich means امیر
Miserable means غمگین
Happy means خوش
Extravagant means فضول خرچ
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- Secant Method
- Newton-Raphson Method
- Bisection Method
- None of these
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Explanation
The Bisection Method is guaranteed to converge if the function changes signs over the interval.It is a robust and reliable method for root-finding.It ensuring convergence under the condition of a continuous function with opposite signs at the endpoints.
- Simultaneous displacement method
- Gauss-Seidel method
- Newton-Raphson method
- None of these
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Explanation
Jacobi's method involves solving a system of linear equations iteratively, updating all variables simultaneously in each iteration.It is distinct from the Gauss-Seidel method, where variables are updated sequentially.
- Scalar quantity
- Vector quantity
- Both A and B
- None of these
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Explanation
The divergence of a vector field measures the rate at which the field spreads out from a point and results in a scalar quantity.It is given by ∇ • f, producing a single numerical value at each point.
- A(B + C) = AB + AC
- A + (BC) = (A + B)(A + C)
- AB + BC = A(B + C)
- None of these
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Explanation
The distributive law in Boolean algebra states that multiplication distributes over addition: A(B + C) = AB + AC.It ensures logical expressions can be simplified systematically while maintaining equivalence.
- The number of edges incident with the vertex
- Number of edge in a graph
- Number of vertices adjacent to that vertex
- None of these
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Explanation
The degree of a vertex in a graph is the count of edges connected to it.
It represents the number of direct connections the vertex has.
- Possible
- Unknown
- Impossible
- None of these
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Explanation
"Out of the question" means something is not possible or not allowed.Example: "Going on a vacation this month is out of the question due to work commitments."
پی آئی سی کا مطلب کیا ہے؟
- Pakistan's Institute of Commerce
- Pakistan Information Commission
- Pakistan's Industrial Corporation
- None of these
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Explanation
Pakistan Information Commission (PIC) ensures the implementation of the Right of Access to Information Act, 2017.It facilitates citizens' access to public records for transparency and accountability.
- Laplace's equation
- Euler's equation
- Poisson's equation
- None of these
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Explanation
The velocity potential (φ) of an incompressible fluid satisfies Laplace's equation:
∇²φ = 0
This equation represents the conservation of mass for an incompressible fluid.
- Log-normal distribution
- Exponential distribution
- Normal
- None of these
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Explanation
In an exponential distribution, the mean (μ) and standard deviation (σ) are equal, i.e., μ = σ = 1/λ, where λ is the rate parameter.