SPSC 25 YEARS PAST PAPERS 2001 TO 2026
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- Connected curve
- Multi-connected
- Multiple curves
- None of these
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Explanation
Simply Connected: A region is simply connected if every closed curve within it can be continuously shrunk to a point without leaving the region.
Multi-Connected: A region is multi-connected if it is not simply connected.
This meaning it has "holes" or other topological features that prevent some closed curves from being shrunk to a point within the region.
- Inexperience
- Antipathy
- Unsightliness
- None of these
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Explanation
Pulchritude means خوبصورتی
Unsightliness means بدصُورتی
سینیٹ آف پاکستان کے موجودہ ڈپٹی چیئرمین کون ہیں؟
- Yousaf Raza Gilani
- Sardar Ayaz Sadiq
- Sadiq Sanjrani
- Syedal Khan Nasir
- None of these
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Explanation
Syedal Khan Nasir is the current deputy chairman of Senate of Pakistan.
Belonging: Balochistan
Preceded by: Mirza Muhammad Afridi
Appointed on 9th April 2024.
Party affiliation: PML-N
- u = 0
- u ∧ n = 0, where n is the unit normal to the boundary
- u . n = 0, where n is the null normal to the boundary
- None of these
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Explanation
u . n = 0, where n is the unit normal to the boundary
This is the impermeability condition, which states that the fluid cannot flow through the fixed boundary.
- x > 4
- x ≥ -2
- x > - 2
- None of these
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Explanation
Since ln(x + 3) ≥ 0, we have:
x + 3 ≥ 1 (since ln(u) ≥ 0 when u ≥ 1)
x ≥ -2
- 2π/3
- π/3
- π/3
- None of these
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Explanation
The standard period of cos(x) is 2π.For cos(3x + 5), the period is given by:
Period = 2π / |coefficient of x|
= 2π / 3
- -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.
