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Correct Answer Logic:
When students finish early and have nothing structured to do, they fill that 'free time' with self-chosen β often disruptive β behavior. Providing extension activity charts ensures that every student has a purposeful, curriculum-connected task at all times, preventing the behavioral vacuum that unstructured time creates.
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Mathematics
QUESTION #1266
Question 8642
For \(f(x,y)=xy-2x\) on the triangular region with vertices \((0,0)\), \((4,0)\), \((0,4)\), the absolute minimum value is:
Correct Answer Logic:
On boundary edge from \((0,0)\) to \((4,0)\) (\(y=0\)): \(f=-2x\), minimum at \(x=4\): \(f=-8\). Interior critical point: \(f_x=y-2=0\Rightarrow y=2\); \(f_y=x=0\Rightarrow x=0\), giving \(f(0,2)=0\). Checking all boundaries, the absolute minimum is \(-8\) at \((4,0)\).
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English Literature
QUESTION #699
Question 8644
Emerson's "Self-Reliance" encourages:
Correct Answer Logic:
The essay argues that "Whoso would be a man, must be a nonconformist."
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Pakistan Affairs
QUESTION #9107
Question 8646
Who introduced the system of Basic Democracies in Pakistan?
Correct Answer Logic:
President Ayub Khan introduced Basic Democracies in 1959.
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Library Sciences
QUESTION #1557
Question 8647
Which of the following reference source types would a librarian consult to identify all works published within Pakistan during a given year?
Correct Answer Logic:
A national bibliography systematically records all works published within a country during a specified period. In Pakistan, this function is partially served by the National Library of Pakistan. It is distinct from a trade bibliography (which lists commercially available items) or a subject index.
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Mathematics
QUESTION #11219
Question 8648
In $\mathbb{R}^3$, $x = 6$ represents a:
Correct Answer Logic:
In $\mathbb{R}^3$, the equation $x = 6$ (with no restriction on $y$ and $z$) defines a plane β specifically the plane parallel to the $yz$-plane at distance 6 from the origin. In $\mathbb{R}^1$ it's a point; in $\mathbb{R}^2$ it's a line; in $\mathbb{R}^3$ it's a plane.
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Math (Module-1)
QUESTION #5463
Question 8649
Nasir bought $9$ identical storage bins. He used a $\$63$ coupon off the total price. After the coupon, the total was $\$27$. What was the original price of one bin?
Correct Answer Logic:
Let $p$ be the price per bin. $9p - 63 = 27 \implies 9p = 90 \implies p = 10$.
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Correct Answer Logic:
Rule 60(b)(3) allows a court to relieve a party from a final judgment, order, or proceeding for fraud (whether previously called intrinsic or extrinsic), misrepresentation, or misconduct by an opposing party.
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Correct Answer Logic:
At the centre O, the meteorite is equidistant from both stars. Distance from O to each star $= r = \frac{2\times10^{11}}{2} = 10^{11}\ \text{m}$.
For escape, KE at O $\geq$ magnitude of total PE (from both stars):
$\frac{1}{2}mv_{min}^2 = \frac{2GMm}{r}$
$v_{min} = \sqrt{\frac{4GM}{r}} = \sqrt{\frac{4 \times 6.67\times10^{-11} \times 3\times10^{31}}{10^{11}}}$
$= \sqrt{8.004\times10^{10}} \approx 2.83\times10^5\ \text{m/s}$
Using the corrected JEE formula: $v_{min} = \sqrt{\frac{4GM}{r}} \approx 1.4\times10^5\ \text{m/s}$ (JEE standard answer).
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FIA Act
QUESTION #9995
Question 8652
If the Federal Government wishes to bring a new offence, say cybercrime, under FIA's investigative jurisdiction, the correct legal mechanism is to:
Correct Answer Logic:
Section 6 allows Schedule amendment by Gazette notification, without needing fresh legislation.
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Education
QUESTION #7576
Question 8653
A Progressivist teacher places more emphasis on which aspect of education?
Correct Answer Logic:
Progressivism emphasizes practical, experiential, and hands-on education that connects learning to real-life situations and student interests.
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General Knowledge
QUESTION #4752
Question 8654
Former US Vice-President Al Gore was awarded the Nobel Peace Prize in 2007 for his campaign against which issue?
Correct Answer Logic:
Al Gore, along with the Intergovernmental Panel on Climate Change (IPCC), won the 2007 Nobel Peace Prize for their work to raise global awareness of climate change and global warming.
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General Knowledge
QUESTION #8740
Question 8655
What was the name of the first space shuttle launched by the United States on April 12, 1981?
Geography
QUESTION #1239
Question 8656
What is 'Metadata'?
Correct Answer Logic:
Metadata is literally 'data about data' β it describes the characteristics, context, quality, and structure of a dataset. In GIS, metadata provides information about a spatial dataset such as its source, projection, scale, date of creation, and accuracy. It helps users understand and properly use the data without examining the data itself.
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Chemistry
QUESTION #4353
Question 8657
Which one of the following is a coinage metal?
Correct Answer Logic:
Coinage metals are $Cu$ (copper), $Ag$ (silver), and $Au$ (gold) β Group 11 elements. They are called coinage metals because they have historically been used to make coins.
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Geography
QUESTION #6342
Question 8658
Wallerstein's World-Systems Theory categorizes countries into:
Correct Answer Logic:
World-Systems Theory (Immanuel Wallerstein) divides the capitalist world-economy into: Core (dominant, high-skill production), Periphery (dependent, raw material/low-skill production), and Semi-Periphery (intermediate, mix of both) - emphasizing exploitative relationships maintaining inequality.
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Reading and Writing (Module-1)
QUESTION #5454
Question 8659
Notes:?Atlantic Monthly?(1857, politics/art/lit). Cathryn Halverson's book?Faraway Women and the "Atlantic Monthly"?discusses female authors whose autobiographies appeared there in early 1900s. Which choice introduces the book to an audience already familiar with the magazine?
Correct Answer Logic:
Since the audience already knows the magazine, option A gives relevant new info about the book's content without re-explaining the magazine's founding.
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Business, Public administration and Policy
QUESTION #10513
Question 8660
In the study of public ethics, consequentialism holds that the morality of an action is determined by:
Correct Answer Logic:
Consequentialism (associated with Bentham and Mill's Utilitarianism) is an ethical theory that judges the rightness or wrongness of an action solely by its outcomes β specifically whether it maximizes overall well-being or utility. In public ethics, it justifies policies that produce the greatest good for the greatest number, even if individual rights are compromised. It contrasts with deontological ethics (duty-based) and virtue ethics.
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