SPSC LECTURER MATHEMATICS PAST PAPER 2000 TO TILL DATE
Lecturer Mathematics Past Papers Click here
چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- -1
- 2
- 5
- None of these
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Explanation
Using Vieta's formulas, we know that α + β = 4/2 = 2 and αβ = 5/2.
Now, α^2β + αβ^2 = αβ(α + β) = (5/2)(2) = 5.
- Both u,v are orthogonal and unit vectors
- u,v are orthogonal
- u,v are unit vectors
- None of these
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Explanation
Orthonormal vectors satisfy two conditions: they are orthogonal () and unit vectors ( and .This means they are perpendicular and have a magnitude of 1.
- Normal
- Orthogonal
- Symmetric
- None of these
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Explanation
A matrix is orthogonal if , meaning its transpose is equal to its inverse.This property ensures that the matrix preserves length and angles under transformation.
- Increasing and decreasing both
- Decreasing function
- Increasing function
- None of these
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Explanation
If in an interval, it means the function is increasing in that interval.A positive derivative indicates that the function's slope is positive, meaning it moves upward as increases.
- Personally
- Effectively
- Ignominiously
- None of these
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Explanation
To the dismay of the student body the class representative was Ignominiously berated by the principal at a school assembly.طلباء کے جسم سے مایوسی کے سبب طبقاتی نمائندے کو اسکول کی اسمبلی میں پرنسپل نے سنجیدگی سے مبتلا کردیا۔Ignominiously means in a humiliating or disgraceful manner, which fits the context of being berated publicly.The principal's scolding caused shame and embarrassment to the class representative.
چودویں جنوبی ایشین گیمز 2021 کا میزبان کون سا ملک تھا؟
- India
- Pakistan
- Bangladesh
- None of these
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Explanation
Pakistan was set to host the 14th South Asian Games 2021, but the event was postponed.
Pakistan will host the 14th South Asian Games (SAG) in 2025.
The main host city will be Lahore, with some sports also being held in Faisalabad, Gujranwala, Islamabad, and Sialkot.
- Associative property
- Transitive property
- Trichotomy property
- None of these
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Explanation
The Trichotomy property states that for any two real numbers and , exactly one of the following holds: , , or .This property ensures a well-defined order among real numbers.
- Architect : Draftsman
- Embezzlement : Truth
- Disrespect : Age
- None of these
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Explanation
Perjury is the act of lying under oath.Just as embezzlement involves dishonesty with truth.Both involve deception or violation of a fundamental principle.
- Poisson
- Binomial
- Normal
- None of these
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Explanation
In a Poisson distribution, the mean and variance are always equal.It is used to model the number of events occurring in a fixed interval of time or space.
- Nonlinear partial differential equations
- System of equations
- Nonlinear equations
- None of these
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Explanation
The Crank-Nicholson method is used for solving time-dependent partial differential equations.It is an implicit finite difference method, ensuring stability and accuracy.
