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Math Physics Chemistry Biology QUESTION #7781

The plasma membrane is selectively permeable mainly due to the presence of:

Carbohydrates
Lipids
Proteins✔️
Vitamins

Correct Answer Logic:

Integral membrane proteins (e.g., channels, carriers, pumps) control selective transport. Lipids form the barrier but without proteins, permeability is limited to small nonpolar molecules.

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Mathematics QUESTION #1255

Question 3522

If $\varphi: \mathbb{Z}_6 \to \mathbb{Z}_6$ is a one-to-one (injective) homomorphism, then $\ker(\varphi)$ is:

{$\bar{0}, \bar{2}, \bar{4}$}
{$\bar{0}, \bar{3}$}
{$\bar{0}$}✔️
All of $\mathbb{Z}_6$

Correct Answer Logic:

A one-to-one (injective) homomorphism has trivial kernel. Since $\ker(\varphi) = \{x : \varphi(x) = 0\}$ and $\varphi$ is injective, only $\varphi(0)=0$, so $\ker(\varphi) = \{\bar{0}\}$.

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Mathematics QUESTION #4108

Question 3523

The Maclaurin series $\displaystyle f(Z)=Z^2e^{3Z}=\sum_{n=0}^{\infty}\dfrac{3^nZ^{n+2}}{n!}$. The coefficient of $Z^5$ in this series is:

$\dfrac{27}{6}$✔️
$\dfrac{9}{2}$
$9$
$\dfrac{81}{24}$

Correct Answer Logic:

The coefficient of $Z^5$ corresponds to $n+2=5\Rightarrow n=3$: coefficient $=\dfrac{3^3}{3!}=\dfrac{27}{6}=\dfrac{9}{2}$. Verify: $\dfrac{27}{6}=\dfrac{9}{2}$ — both options 1 and 2 are the same value. The coefficient is $\dfrac{9}{2}$.

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Logical Reasoning QUESTION #7881

Question 3524

Given: All omnivores are herbivores. No herbivores are carnivores. Some carnivores are humans. Which conclusions are TRUE? I. Some humans are carnivores. II. No carnivores are omnivores. III. Some omnivores are carnivores.

I and II✔️
I and III
II and III
Only III

Correct Answer Logic:

Conclusion I is true (Some carnivores are humans implies some humans are carnivores). Conclusion II is true (omnivores are herbivores, and no herbivores are carnivores, so no carnivores are omnivores). Conclusion III is false (it contradicts the given statements). So I and II are true.

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Accounting & Finance QUESTION #6215

Question 3525

An auditor uses $n$ samples to test a population $N$. The limitation that audit evidence is 'Persuasive' rather than 'Conclusive' is primarily due to:

The use of testing and inherent limitations of internal controls✔️
The auditor's lack of professional skepticism
The requirement of the Companies Ordinance 1984
The use of KaTeX in mathematical reporting

Correct Answer Logic:

Reasonable assurance is limited because of the use of testing (sampling) and the persuasive nature of evidence, meaning it leads to an opinion rather than absolute proof.

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Economics QUESTION #1712

Question 3526

Pakistan's water crisis is widely recognised as a compound problem with multiple reinforcing drivers. Which comprehensive assessment best captures the causality behind the country's deepening water stress?

Inefficient irrigation systems and poor canal maintenance leading to massive water losses
Rapid population growth and urbanisation expanding water demand beyond sustainable supply
Glacial retreat, erratic precipitation patterns, and rising temperatures from climate change
All of these✔️

Correct Answer Logic:

Pakistan's water scarcity is a multi-causal crisis: (1) Governance and infrastructure failures — the Indus Basin irrigation system loses an estimated 40% of water to seepage and evaporation; (2) Demand pressure — Pakistan's population growth (one of the highest in Asia) and urban expansion continuously expand water demand; (3) Climate change — accelerating glacial melt (short-term flood risk), long-term reduction in glacier-fed river flows, and shifting monsoon patterns all exacerbate supply-side constraints.

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Urdu QUESTION #5065

Question 3527

اردو کی آخری کتاب کس کی تصنیف ہے؟

ڈپٹی نذیر احمد
شفیع محمد چودھری
عبدالحلیم شرر
ابنِ انشا✔️

Correct Answer Logic:

'اردو کی آخری کتاب' ابنِ انشا کی مزاحیہ و ادبی تصنیف ہے۔

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Security Measures to Maintain Law and Order QUESTION #7681

Question 3528

What is the primary purpose of the Security Force?

Protection of the buildings and individuals inside✔️
Protocol for civilian individuals
To cause violence
All of these

Correct Answer Logic:

The primary purpose of security forces, particularly specialized units like ASF, is to protect buildings, infrastructure, and individuals inside from threats. They provide physical security, access control, and emergency response to ensure safety and security.

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Math Physics Chemistry Biology QUESTION #7757

Question 3529

Which neurotransmitter is hydrolyzed by the enzyme monoamine oxidase (MAO)?

Acetylcholine
Adrenaline
Glutamate
Serotonin✔️

Correct Answer Logic:

MAO breaks down monoamine neurotransmitters: dopamine, serotonin (5-HT), adrenaline, noradrenaline. Acetylcholine is broken down by acetylcholinesterase; glutamate is not a monoamine.

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Contracts QUESTION #5864

Question 3530

A Seller ships goods 'C.O.D.' (Collect on Delivery). Does the Buyer have a right to inspect before paying?

Yes, the right to inspect is absolute.
No, C.O.D. terms generally exclude the right to inspect before payment.✔️
Yes, but only for visible defects.
No, unless the Buyer is a non-merchant.

Correct Answer Logic:

Under UCC §2-513(3), the buyer is not entitled to inspect the goods before payment when the contract provides for payment on delivery (C.O.D.).

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Pakistan Affairs QUESTION #9088

Question 3531

Pakistan is located in which region of Asia?

East Asia
South East Asia
South Asia✔️
North East Asia

Correct Answer Logic:

Pakistan is in South Asia.

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Boilers Mechanical Engineering QUESTION #2398

Question 3532

Archimedes' principle states that the buoyant force on a submerged (or floating) body equals:

Weight of the body
Weight of fluid displaced by the body✔️
Pressure at the centroid times surface area
Volume of the body times its own density

Correct Answer Logic:

Archimedes' principle: buoyant force $F_B=\gamma_{fluid}\times V_{displaced}$ — equals the weight of fluid displaced.

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English QUESTION #8379

Question 3533

Complete the proverb: 'Time is a great _______'

Feeler
Healer✔️
Dealer
Wheelar

Correct Answer Logic:

'Time is a great healer'.

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Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences) QUESTION #5797

Question 3534

What is the primary role of the Central Licensing Board?

Setting drug prices
Issuing licenses✔️
Advising the Govt
Appointing Inspectors

Correct Answer Logic:

The Central Licensing Board is responsible for issuing manufacturing licenses[cite: 7].

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Chemistry QUESTION #1009

Question 3535

The molar solubility ($s$) of zirconium phosphate with formula $(\text{Zr}^{4+})_3(\text{PO}_4^{3-})_4$ is given by the relation:

$\left(\dfrac{K_{sp}}{9612}\right)^{1/3}$
$\left(\dfrac{K_{sp}}{6912}\right)^{1/7}$✔️
$\left(\dfrac{K_{sp}}{8435}\right)^{1/7}$
$\left(\dfrac{K_{sp}}{5348}\right)^{1/6}$

Correct Answer Logic:

Dissolution: $\text{Zr}_3(\text{PO}_4)_4 \rightleftharpoons 3\text{Zr}^{4+} + 4\text{PO}_4^{3-}$. If solubility $= s$: $[\text{Zr}^{4+}]=3s$, $[\text{PO}_4^{3-}]=4s$. $K_{sp} = (3s)^3(4s)^4 = 27s^3 \cdot 256s^4 = 6912\,s^7$. So $s = \left(\dfrac{K_{sp}}{6912}\right)^{1/7}$.

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2575

Question 3536

Under section 6(1) of the Act, which of the following does NOT constitute an 'economic activity' for purposes of the Punjab Sales Tax on Services Act, 2012?

A one-time transaction in the nature of business
Supply of immovable property by way of lease
Carrying on a profession for profit
Activities of an employee providing services in that capacity to an employer✔️

Correct Answer Logic:

Section 6(3)(a) explicitly excludes from the definition of 'economic activity' the activities of AN EMPLOYEE PROVIDING SERVICES IN THAT CAPACITY TO AN EMPLOYER. A one-time transaction, lease of property, and professional activities are all included.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3469

Question 3537

'Vitamins' are categorized as 'Micronutrients' because:

They are very small molecules
They are needed in small (milli/microgram) amounts✔️
They provide no energy
They are only in plants

Correct Answer Logic:

Unlike macronutrients (carbs, fats, proteins), they are required in tiny quantities.

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Math Physics Chemistry Biology QUESTION #7730

Question 3538

Which enzyme is secreted in its active form without needing activation?

Amylase✔️
Lipase
Peptidase
Protease

Correct Answer Logic:

Amylase (salivary and pancreatic) is secreted in active form. Many proteases (e.g., pepsin, trypsin) are secreted as zymogens (inactive precursors) to prevent auto-digestion.

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Nursing QUESTION #9235

Question 3539

In Increased Intracranial Pressure (ICP) management, a patient's ICP is $22 \text{ mmHg}$ and MAP is $90 \text{ mmHg}$. What is the Cerebral Perfusion Pressure (CPP) and is it adequate?

$\text{CPP} = 68 \text{ mmHg}$ — adequate (target $\geq 60 \text{ mmHg}$)✔️
$\text{CPP} = 112 \text{ mmHg}$ — dangerously high
$\text{CPP} = 45 \text{ mmHg}$ — inadequate, cerebral ischemia likely
$\text{CPP} = 58 \text{ mmHg}$ — borderline, immediate intervention needed

Correct Answer Logic:

Correct Answer: A — CPP = 68 mmHg, adequate

Formula:
\[\text{CPP} = \text{MAP} - \text{ICP}\]
\[\text{CPP} = 90 - 22 = 68 \text{ mmHg}\]

Target values in TBI management (Brain Trauma Foundation):

CPP target: $60 - 70 \text{ mmHg}$
ICP target: $< 20 \text{ mmHg}$
MAP target: $\geq 80 \text{ mmHg}$

ICP management interventions:

Head of bed elevation $30°$
Hyperosmolar therapy: Mannitol $0.25 - 1 \text{ g/kg}$ IV or hypertonic saline (3%)
Controlled hyperventilation: target $\text{PaCO}_2 = 35 \text{ mmHg}$ (temporary)
Sedation and analgesia
Avoid hyperthermia, hypoxia, hypotension
CSF drainage via ventriculostomy

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Dairy Food Science and Technology QUESTION #5960

Question 3540

Which type of homogenizer is most commonly used in the dairy industry?

Ultrasonic homogenizer
High-pressure (valve) homogenizer ($2000\text{–}2500\;\text{psi}$)✔️
Microfluidizer
Membrane emulsification homogenizer

Correct Answer Logic:

High-pressure homogenizers (HPH) are the industry standard. Milk is forced through a narrow adjustable valve at $2000\text{–}2500\;\text{psi}$. The pressure drop, turbulence, cavitation, and shear forces reduce fat globule size from $1\text{–}10\;\mu\text{m}$ to $<0.5\text{–}2\;\mu\text{m}$.

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