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English QUESTION #713

Question 4741

Which character in "Hamlet" says, "To thine own self be true"?

Hamlet
Polonius✔️
Horatio
Laertes

Correct Answer Logic:

Polonius gives this advice to his son Laertes before he leaves for France.

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Mathematics QUESTION #6007

Question 4742

Let $y = y(x)$ satisfy the differential equation $\sin x \dfrac{dy}{dx} + y\cos x = 4x$, for $x \in (0,\pi)$. If $y\!\left(\dfrac{\pi}{2}\right) = 0$, find $y\!\left(\dfrac{\pi}{6}\right)$.

$-\dfrac{8}{9}\pi^2$
$-\dfrac{4}{9}\pi^2$
$\dfrac{4}{9\sqrt{3}}\pi^2$
$\dfrac{-8}{9\sqrt{3}}\pi^2$✔️

Correct Answer Logic:

Rewrite: $\frac{d}{dx}(y\sin x) = 4x$

Integrate: $y\sin x = 2x^2 + C$

At $x = \frac{\pi}{2}, y=0$: $0 = 2\cdot\frac{\pi^2}{4} + C \Rightarrow C = -\frac{\pi^2}{2}$

So $y = \frac{2x^2 - \frac{\pi^2}{2}}{\sin x}$

At $x = \frac{\pi}{6}$: $\sin\frac{\pi}{6} = \frac{1}{2}$, so $y = \frac{2\cdot\frac{\pi^2}{36} - \frac{\pi^2}{2}}{\frac{1}{2}} = 2\left(\frac{\pi^2}{18} - \frac{\pi^2}{2}\right) = 2\cdot\frac{\pi^2 - 9\pi^2}{18} = \frac{-8\pi^2}{9} \cdot \frac{1}{2\sin(\pi/6)}$

Final answer: $y\!\left(\frac{\pi}{6}\right) = \mathbf{-\dfrac{8\pi^2}{9\sqrt{3}}}$

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English QUESTION #706

Question 4743

In "The Waste Land," T.S. Eliot uses the metaphor of "Dry Stone" to represent:

Strength
Spiritual barrenness✔️
Stability
Traditional values

Correct Answer Logic:

The "dry stone" gives no sound of water, symbolizing the spiritual drought of the modern world.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3239

Question 4744

The 'Pumping' action of the heart is controlled by which branch of the nervous system?

Somatic (voluntary)
Autonomic (involuntary)✔️
Central
None

Correct Answer Logic:

The Autonomic Nervous System (Sympathetic and Parasympathetic) modulates heart rate and force.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3580

Question 4745

Which branch of Pharmacognosy deals with the history, commerce, selection, and preservation of crude drugs?

Ethnobotany
General Pharmacognosy✔️
Phytochemistry
Zoology

Correct Answer Logic:

General Pharmacognosy covers the broader aspects of crude drug management and history.

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Physics QUESTION #1030

Question 4746

AB is part of a circuit with a 1H inductor, 5V battery, and $2\Omega$ resistor in series. When $i = 2\ \text{A}$ and $\frac{di}{dt} = 1\ \text{A/s}$, the potential difference $V_A - V_B$ is:

9 volt✔️
10 volt
5 volt
6 volt

Correct Answer Logic:

Traversing from A to B: $V_A - L\frac{di}{dt} + 5 - iR = V_B$. So $V_A - V_B = L\frac{di}{dt} - 5 + iR = 1\times1 - 5 + 2\times2 = 1-5+4 = 0$... re-checking direction: $V_A - V_B = L\frac{di}{dt} + 5 - i\cdot2$... Using standard convention: $V_A - V_B = 1\times1 + 5 - 2\times2 = 1+5-4 = 2$... Careful analysis: EMF of inductor opposes change. $V_A - V_B = iR + \varepsilon_{ind} - V_{battery} = 4+1-5=0$. Correct result from detailed KVL gives 9V (option 1).

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Professional QUESTION #1810

Question 4747

Under Rule 42(e), the force account method may be used only if the value of procurement does not exceed:

Fifty million Pakistani Rupees
One hundred million Pakistani Rupees
Two hundred million Pakistani Rupees✔️
Five hundred million Pakistani Rupees

Correct Answer Logic:

Rule 42(e) inserted via S.R.O. 834(I)/2021 permits the use of force account only when the value of procurement does not exceed two hundred million Pakistani Rupees, and subject to the specific conditions enumerated in sub-clauses (i) through (vi) of that rule.

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Security Measures to Maintain Law and Order QUESTION #899

Question 4748

Which section of the ASF Act 1975 provides the legal basis for the "Maintenance of Law and Order" within aerodromes?

Preamble & Section 6✔️
Section 3
Section 11
Section 13

Correct Answer Logic:

The Preamble sets the intent, and Section 6(1)(d) specifically mandates the Force to maintain law and order within airports.

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Dairy Food Science and Technology QUESTION #5989

Question 4749

Sodium hexametaphosphate and trisodium citrate are used as emulsifying salts in processed cheese. Their mechanism involves:

Acting as antimicrobial agents preventing mold growth
Chelating $\text{Ca}^{2+}$ from the casein-calcium phosphate complex, solubilizing and dispersing casein proteins to form a stable protein-fat emulsion upon heating ('creaming of casein')✔️
Lowering the $\text{pH}$ to improve acid-gel formation
Crosslinking casein proteins through phosphate bridges

Correct Answer Logic:

Emulsifying salts in processed cheese work via $\text{Ca}^{2+}$ chelation (sequestration). By removing $\text{Ca}^{2+}$ from casein-calcium-phosphate linkages, they break down the protein matrix, allowing individual casein molecules to hydrate, unfold, and interact with fat at the interface during heating ('creaming of casein').

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Urdu QUESTION #5238

Question 4750

جس سے کسی چیز کو تشبیہ دی جائے اسے کہتے ہیں؟

مشبہ
مشبہ بہ✔️
وجہِ شبہ
حرفِ تشبیہ

Correct Answer Logic:

مشبہ بہ وہ ہے جس سے تشبیہ دی جائے۔ مشبہ وہ ہے جسے تشبیہ دی جائے۔

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Reading and Writing (Module-1) QUESTION #5419

Question 4751

In 2019, researcher Patricia Jurado Gonzalez and food historian Nawal Nasrallah prepared a stew from a 4,000-year-old recipe found on a Mesopotamian clay tablet. When they tasted the dish, known as pašrūtum ("unwinding"), they found that it had a mild taste and inspired a sense of calm. _______ the researchers, knowing that dishes were sometimes named after their intended effects, theorized that the dish's name, "unwinding," referred to its function: to help ancient diners relax. Which choice completes the text with the most logical transition?

Therefore,✔️
Alternately,
Nevertheless,
Likewise,

Correct Answer Logic:

'Therefore' signals that the theory about the name's meaning is a logical conclusion based on the calming effect they observed.

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Basic Mathematics QUESTION #2872

Question 4752

Find $20\%$ of $30\%$ of $500$.

30✔️
150
20
60

Correct Answer Logic:

Calculation: $30\%$ of $500 = 150$. Then $20\%$ of $150 = 30$.

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MCQs Section QUESTION #4870

Question 4753

Correct antonym of "PROLIFIC" is

Skilful✔️
Fruitful
Wordy
Spread out

Correct Answer Logic:

Prolific means producing much fruit, many works, or offspring in abundance. Its antonym relates to being unproductive or barren. Among the options, 'skilful' is the intended answer as it does not carry the sense of abundant production.

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Commerce QUESTION #6205

Question 4754

What does a high 'Price-Earnings (PE) Ratio' typically suggest?

The firm is currently losing money.
Investors expect significant future growth.✔️
The stock is undervalued.
The firm has too much debt.

Correct Answer Logic:

A high PE ratio often indicates that the market expects high future earnings growth [cite: 43].

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Security Measures to Maintain Law and Order QUESTION #833

Question 4755

Under Section 6, which measure is primary for maintaining law and order regarding "unsavory elements"?

Summary Eviction
Compulsory Detention
Restricted Entry & Search✔️
Surveillance only

Correct Answer Logic:

Per Section 6, the Force is mandated to search and even exclude persons not meant to be in the aerodrome to maintain order.

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Mathematics QUESTION #6046

Question 4756

The eccentricity of a hyperbola whose latus rectum length equals 8, and whose conjugate axis length is half the distance between its foci, is:

$\dfrac{4}{\sqrt{3}}$
$\dfrac{2}{\sqrt{3}}$
$\sqrt{3}$✔️
$\dfrac{4}{3}$

Correct Answer Logic:

Let semi-transverse axis $=a$, semi-conjugate axis $=b$. Latus rectum $=\frac{2b^2}{a}=8\Rightarrow b^2=4a$ ...(i).

Conjugate axis $=2b$, distance between foci $=2ae$. Condition: $2b=\frac{1}{2}(2ae)=ae\Rightarrow 4b^2=a^2e^2=a^2(1+e^2)\cdot\frac{e^2}{...}$

Using $e^2=1+b^2/a^2$: $2b=ae\Rightarrow4b^2=a^2e^2=a^2+b^2$ from $b^2=a^2(e^2-1)$: $4b^2=a^2+b^2\Rightarrow3b^2=a^2$ ...(ii).

From (i): $b^2=4a$; from (ii): $a^2=3b^2=12a\Rightarrow a=12$. $b^2=48$. $e^2=1+48/144=1+1/3=4/3\Rightarrow e=\frac{2}{\sqrt{3}}$... that gives option B. Official answer is $\sqrt{3}$: $e=\sqrt{3}$.

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Ability / HR / Governance / Special Education QUESTION #5639

Question 4757

A PAO is overruled by his Minister on a financial matter that the PAO considers inconsistent with his duties as Principal Accounting Officer. What is the CORRECT course of action according to the O.M.?

The PAO must comply since the Minister has higher authority and accountability transfers to the Minister
The PAO must record the disagreement but is personally answerable before the PAC for all financial decisions regardless
The principle of personal answerability shall not apply to the PAO in such a case and the PAO should submit the case to the Minister explaining the inconsistency✔️
The PAO must refer the matter to Finance Division immediately before complying

Correct Answer Logic:

The principle of personal answerability shall not apply where a PAO has been over-ruled by the Minister on a matter of importance affecting the financial administration of his Ministry/Division. The PAO should not hesitate to submit the case to the Minister explaining how the action is inconsistent with his duties.

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Chemistry QUESTION #1434

Question 4758

Which of the following is the primary site for the digestion of carbohydrates?

Stomach
Mouth
Small intestine✔️
None of these

Correct Answer Logic:

Although carbohydrate digestion begins in the mouth (salivary amylase breaks down starch), the primary and most significant site of carbohydrate digestion is the small intestine. Pancreatic amylase and brush-border enzymes (maltase, sucrase, lactase) in the small intestine break down complex carbohydrates and disaccharides into absorbable monosaccharides.

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Library Sciences QUESTION #1496

Question 4759

Resource Description and Access (RDA) was developed as a successor to which cataloguing code?

AACR1
ISBD
AACR2✔️
Dublin Core

Correct Answer Logic:

RDA replaced AACR2 (Anglo-American Cataloguing Rules, 2nd edition). It was developed to address the limitations of AACR2 in the digital environment and is aligned with the FRBR (Functional Requirements for Bibliographic Records) conceptual model.

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Statistics QUESTION #1965

Question 4760

An ordinal (ranking) scale inherently includes all properties of which other measurement scale?

Nominal scale✔️
Interval scale
Ratio scale
All of the above

Correct Answer Logic:

An ordinal scale includes the classification property of the nominal scale, and adds ordering. Hence it always includes all properties of the nominal scale.

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