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Physics QUESTION #7319

A stone dropped from height $h$ hits the ground with momentum $P$. If the same stone is dropped from height $2h$ (100% more), the momentum on hitting the ground changes by approximately:

200%
100%
68%
41%✔️

Correct Answer Logic:

$v = \sqrt{2gh}$, so $P = mv = m\sqrt{2gh}$

New momentum: $P' = m\sqrt{2g(2h)} = \sqrt{2}\,P$

Percentage change $= (\sqrt{2}-1)\times 100 \approx 0.414 \times 100 = \mathbf{41\%}$

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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5705

Question 7802

Which of the following is a semi-solid dosage form intended for application to the mucous membranes or skin?

Elixir
Ointment✔️
Syrup
Suspension

Correct Answer Logic:

Ointments are semi-solid preparations for external application.

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Physics QUESTION #1153

Question 7803

The zeroth law of thermodynamics helps to define the term:

Temperature✔️
Pressure
Volume
Density

Correct Answer Logic:

The zeroth law of thermodynamics states that if two systems are each in thermal equilibrium with a third system, they are in thermal equilibrium with each other. This law provides the basis for defining and measuring temperature.

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Business, Public administration and Policy QUESTION #10517

Question 7804

The concept of "bounded rationality" in decision-making was introduced by:

Max Weber
Abraham Maslow
Herbert Simon✔️
Frederick Taylor

Correct Answer Logic:

Herbert Simon introduced bounded rationality in his 1947 work Administrative Behavior, arguing that human decision-makers cannot achieve perfect rationality due to cognitive limitations, incomplete information, and time constraints. Instead of optimizing, they satisfice — choosing a solution that is 'good enough.' This challenged the classical rational model and earned Simon the Nobel Prize in Economics (1978). Note: The options in the original paper listed 'None of these' as the correct answer since Herbert Simon was not among the options.

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Mathematics QUESTION #4093

Question 7805

Using the $\varepsilon$-$\delta$ definition of limit, $\displaystyle\lim_{x\to2}\frac{x^3-4}{x^2+1}$ equals (by direct substitution since denominator is nonzero at $x=2$):

Indeterminate form $0/0$
$\dfrac{4}{5}$✔️
$\dfrac{8}{5}$
$\dfrac{4}{3}$

Correct Answer Logic:

Since the denominator $x^2+1\neq0$ at $x=2$, direct substitution applies: numerator $=2^3-4=8-4=4$, denominator $=2^2+1=5$. The limit equals $\dfrac{4}{5}$. The $\varepsilon\text{-}\delta$ proof formally verifies this value.

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Law QUESTION #9693

Question 7806

Article 85 classifies which of the following as a public document?

A private contract registered voluntarily
Registered documents the execution of which is not disputed✔️
All notarized documents
Private letters addressed to government officials

Correct Answer Logic:

Article 85(5) specifically includes 'registered documents the execution whereof is not disputed' as public documents.

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Physics QUESTION #7089

Question 7807

A projectile is launched with velocity $(\hat{i}+2\hat{j})\text{ m/s}$. Using $g=10\text{ m/s}^2$, find the trajectory equation.

$y=x-5x^{2}$
$y=2x-5x^{2}$✔️
$4y=2x-5x^{2}$
$4y=2x-25x^{2}$

Correct Answer Logic:

From the velocity vector: $u_x = 1$ and $u_y = 2$.

$x = u_x t \implies t = x$
$y = u_y t - \frac{1}{2}gt^2$
Substitute $t = x$: $y = 2x - \frac{1}{2}(10)x^2 = 2x - 5x^2$.

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General Knowledge QUESTION #8706

Question 7808

Brass is an alloy of copper and which other metal?

Iron
Steel
Zinc✔️
Silver

Correct Answer Logic:

Brass is copper and zinc.

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Reading and Writing (Module-1) QUESTION #5448

Question 7809

In 2016, Vanessa Galvez installed 164 bioswales in Queens. By reducing runoff flowing into sewers, ____

the mitigation of both flooding and pollution has been achieved by bioswales.
the bioswales have mitigated both street flooding and resulting pollution.✔️
the bioswales mitigation of both flooding and pollution has been achieved.
both street flooding and resulting pollution have been mitigated by bioswales.

Correct Answer Logic:

The active voice and clear subject "bioswales" make option B most direct and standard.

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Pakistan Affairs QUESTION #135

Question 7810

Pakistan and Tajikistan are separated by:

Durand Line
Wakhan Corridor✔️
Khyber Pass
Bolan Pass

Correct Answer Logic:

The Wakhan Corridor is a narrow strip of territory in Afghanistan that separates Tajikistan from Pakistan.

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MCQs Section QUESTION #5114

Question 7811

خدائے سخن کس کو کہتے ہیں؟

اسداللہ خان غالب
ابنِ انشا
میر تقی میر✔️
میر درد

Correct Answer Logic:

میر تقی میر کو 'خدائے سخن' کہا جاتا ہے۔ انہیں اردو شاعری میں سب سے اعلیٰ مقام حاصل ہے۔

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MCQs Section QUESTION #5156

Question 7812

'بیچارے لوگ' کس کا ناول ہے؟

داستایوفسکی✔️
محمد حامد شاہد
حامد علی
ان میں سے کوئی نہیں

Correct Answer Logic:

بیچارے لوگ روسی مصنف داستایوفسکی کے ناول کا اردو ترجمہ ہے۔

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MCQs Section QUESTION #5157

Question 7813

صحیفہ کس ادارے کا جریدہ ہے؟

اکادمی ادبیات
مجلس ترقی ادب✔️
مقتدرہ قومی زبان
ان میں سے کوئی نہیں

Correct Answer Logic:

صحیفہ لاہور سے شائع ہونے والا ادبی جریدہ ہے جو مجلس ترقی ادب سے وابستہ ہے۔

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Home Economics QUESTION #6288

Question 7814

In consumer education, the term 'Adulteration' refers to:

Mass-producing goods in a factory
Adding inferior or harmful substances to food products✔️
The legal process of suing a manufacturer
Lowering the price of goods during a sale

Correct Answer Logic:

Adulteration involves tampering with the purity of a product for profit.

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Agriculture Economics QUESTION #11867

Question 7815

Marginal cost is mathematically defined as:

$MC = \dfrac{TC}{Q}$
$MC = \dfrac{\Delta TC}{\Delta Q}$✔️
$MC = TFC + TVC$
$MC = AVC - AFC$

Correct Answer Logic:

Marginal cost is the change in total cost resulting from producing one more unit of output, $MC = \dfrac{\Delta TC}{\Delta Q}$.

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Mathematics QUESTION #11227

Question 7816

The range of $\sec^{-1} x$ is:

$[0,\pi]$
$\left[0,\pi\right]\setminus\left\{\dfrac{\pi}{2}\right\}$✔️
$\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]$
$\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]\setminus\{0\}$

Correct Answer Logic:

The range of $\sec^{-1}x$ (arcsecant) is $[0,\pi]\setminus\{\pi/2\}$, since $\sec(\pi/2)$ is undefined. The domain is $|x|\geq 1$ (i.e. $x\leq -1$ or $x\geq 1$), and the range is $[0,\pi]$ excluding the point $\pi/2$ where secant is undefined.

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Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences) QUESTION #5787

Question 7817

When Federal and State laws regarding pharmacy practice conflict, the pharmacist must:

Follow Federal only
Follow State only
Follow the most restrictive✔️
Follow the least restrictive

Correct Answer Logic:

In legal conflicts, the more restrictive law must be followed[cite: 7].

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Logical Reasoning QUESTION #3935

Question 7818

Identify the option that best completes the sentence: The manager's _____ attitude toward his subordinates led to a significant decrease in office morale.

benevolent✔️
altruistic
dictatorial
supportive

Correct Answer Logic:

2

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MCQs Section QUESTION #4888

Question 7819

Which word is opposite to "PRETEND"

Sham
Substantiate✔️
Feign
Fabricate

Correct Answer Logic:

Pretend means to act as if something is true when it is not. Its antonym is Substantiate, meaning to provide evidence to prove something as real and true.

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Psychology QUESTION #9736

Question 7820

The phenomenon in which the presence of others improves performance on well-learned or simple tasks but impairs performance on novel or complex tasks is known as:

Social loafing
Deindividuation
Social facilitation✔️
Groupthink

Correct Answer Logic:

Social facilitation, first studied by Norman Triplett and later explained by Robert Zajonc, refers to the tendency for the presence of others to enhance performance on easy or well-practiced tasks but impair performance on difficult or unfamiliar tasks. Zajonc explained this through the concept of arousal: the presence of others increases arousal, which strengthens dominant (well-learned) responses.

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