SPSC 25 YEARS PAST PAPERS SUBJECT WISE (SOLVED)
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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.
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.
Zero
Infinity
15
None of these
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Explanation
Since lim x → 0 x sin ( 15 / a ) lim_{x to 0} x sin(15/a) is of the form x ⋅ constant x cdot text{constant} , and x → 0 x to 0 , the whole expression tends to 0. The sine function remains bounded, so multiplying by x x
Every Cauchy sequence is convergent
Every convergent sequence is Cauchy
Every bounded sequence is Cauchy
None of these
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Explanation
In any normed space (which is a metric space), every convergent sequence must be Cauchy. This is because, by definition, if a sequence converges to a limit , its terms eventually become arbitrarily close to that limit—and hence to each other.
