FGEI LECTURER MATHEMATICS PAST PAPER 28-04-2024
Assistant Director NAB 24-09-2020 (Batch-02)
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
رسول اللہ صلی اللہ علیہ وسلم اور ابوبکر نے مدینہ جانے سے پہلے کہاں پناہ لی؟
Syria
Cave of Soor
Mount of Uhud
Cave of Hira
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Explanation
During the migration from Makkah to Medina, the Holy Prophet (PBUH) and Hazrat Abu Bakar Siddique (R.A) took shelter in the Cave of Soor
On September 24, 622 , the prophet Muhammad completes his Hegira, or “flight, ” from Mecca to Medina to escape persecution.
When x = 0
When y = 0
When b = 0
When a = 0
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Explanation
The equation z = a + 2by + 2bxy will be true when the terms containing b are zero, which happens when b = 0.
a and b
a and c
b and c
a and axb
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Explanation
The vector ax(bxc) is the cross product of vector a and the cross product of vectors b and c. This resulting vector is perpendicular to vector a and vector (bxc) , which is parallel to vector c. Therefore, ax(bxc) lies in the plane containing vectors a and c.
Does not commute
Commute
Does not exist
Associative
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Explanation
The action of wearing socks and shoes commute .
a + b ∈ G
ab ∈ G
a * b ∈ G
a - b ∈ G
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Explanation
In a group (G, *) , the binary operation * is defined such that for all a, b ∈ G, a * b ∈ G. This means that the result of combining any two elements of the group using the group operation is always an element of the group.
Subtraction
Addition
Multiplication
Division
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Explanation
The set of integers, Z, forms a group under addition .
Addition
Multiplication
Square root
None
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Explanation
Square root is a unary operation because it takes only one argument or input, whereas addition and multiplication are binary operations that require two inputs.
P
p
p>1
0<p<1
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Explanation
The p-series is a series of the form :
1 + 1/2^p + 1/3^p + 1/4^p + ...
The p-series is convergent if p > 1. If p ≤ 1 , the series is divergent.
π ∫[a, b] (f(x))^2 dx
2π ∫[a, b] (f(x))^2 dx
π ∫[a, b] (f(x)) dx
2π ∫[a, b] (f(x)) dx
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Explanation
The formula for the volume of a solid of revolution around the x-axis is π ∫[a, b] (f(x))^2 dx , where f(x) is the function being rotated, and a and b are the limits of integration.
Bounded
Not constant
Unbounded
None of these
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Explanation
A convergent sequence in a metric space is bounded . This means that the sequence has a finite limit, and all terms of the sequence are within a finite distance from this limit. As a result, the sequence is bounded , meaning it has a finite upper and lower bound.