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Physics QUESTION #6994

Question 2081

Four equal point charges $Q$ are placed in the $xy$-plane at positions $(0,2)$, $(4,2)$, $(4,-2)$ and $(0,-2)$ (in metres). What is the work done in bringing a fifth charge $Q$ from infinity to the origin?

$\dfrac{Q^2}{4\pi\varepsilon_0}\left(1 + \dfrac{1}{\sqrt{3}}\right)$
$\dfrac{Q^2}{4\pi\varepsilon_0}\left(1 + \dfrac{1}{\sqrt{5}}\right)$✔️
$\dfrac{Q^2}{2\sqrt{2}\,\pi\varepsilon_0}$
$\dfrac{Q^2}{4\pi\varepsilon_0}$

Correct Answer Logic:

Work done = $Q \times V_{origin}$, where $V_{origin}$ is the potential at origin due to the four charges.

Distances from origin:

$(0,2)$: $r_1 = 2$
$(0,-2)$: $r_2 = 2$
$(4,2)$: $r_3 = \sqrt{16+4} = \sqrt{20} = 2\sqrt{5}$
$(4,-2)$: $r_4 = \sqrt{20} = 2\sqrt{5}$

$V = \frac{Q}{4\pi\varepsilon_0}\left(\frac{1}{2}+\frac{1}{2}+\frac{1}{2\sqrt{5}}+\frac{1}{2\sqrt{5}}\right) = \frac{Q}{4\pi\varepsilon_0}\left(1 + \frac{1}{\sqrt{5}}\right)$

Work $= QV = \dfrac{Q^2}{4\pi\varepsilon_0}\left(1+\dfrac{1}{\sqrt{5}}\right)$

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Education QUESTION #1476

Question 2082

Which area of Islamic education focuses on teaching values and morals and how to lead a good life?

Physical Education
Social Education
Character Building✔️
Mental Education

Correct Answer Logic:

Character building (Al-Khuluqiyah) is described as the teaching of values and morals — how to lead a good life, treat yourself and others.

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CISA QUESTION #1739

Question 2083

In regulatory language, what is the operative distinction between the words 'should' and 'shall'?

'Shall' denotes discretionary requirements while 'should' provides advisory guidance.
'Should' signals mandatory obligations whereas 'shall' provides advisory recommendations.
'Should' and 'shall' are functionally equivalent; interpretation depends on the specific audit context.
'Should' denotes actions that are discretionary based on circumstances, while 'shall' indicates that the action is obligatory regardless of financial or operational impact.✔️

Correct Answer Logic:

In regulatory and legal drafting, 'shall' is a term of compulsion — it imposes a non-negotiable mandatory obligation that must be complied with regardless of cost, convenience, or financial impact. 'Should', by contrast, is a term of recommendation — it signals strongly advised but ultimately discretionary action. Auditors must be alert to this distinction when evaluating regulatory compliance, since mistaking a 'shall' requirement for a 'should' recommendation constitutes a material error in compliance assessment.

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Physics QUESTION #7064

Question 2084

In a common emitter configuration for a transistor, if $\alpha$ and $\beta$ represent the current gains in common base and common emitter modes respectively, identify the incorrect relationship between them.

$\alpha = \frac{\beta}{1-\beta}$✔️
$\alpha = \frac{\beta}{1+\beta}$
$\alpha = \frac{\beta^2}{1+\beta^2+2\beta}$
$\frac{1}{\alpha} = \frac{1}{\beta} + 1$

Correct Answer Logic:

The standard relation between $\alpha$ and $\beta$ is $\beta = \frac{\alpha}{1-\alpha}$, which can be rearranged to $\alpha = \frac{\beta}{1+\beta}$.

Option B is correct.
Option D is simply a rearranged form: $\frac{1}{\alpha} = \frac{1+\beta}{\beta} = \frac{1}{\beta} + 1$.
Option C is the square of Option B: $\alpha = \left(\frac{\beta}{1+\beta}\right)^2$. While not the standard linear relation, Option A is explicitly wrong because $\alpha$ must always be less than 1, and $\frac{\beta}{1-\beta}$ would result in a value greater than 1.

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Accounting & Finance QUESTION #6168

Question 2085

A company reports a Profit Margin of 10%, Asset Turnover of 2.0, and an Equity Multiplier (Total Assets/Equity) of 1.5. What is the Return on Equity (ROE)?

15%
20%
30%✔️
45%

Correct Answer Logic:

Using DuPont Analysis: $ROE = \text{Profit Margin} \times \text{Asset Turnover} \times \text{Equity Multiplier}$. $0.10 \times 2.0 \times 1.5 = 0.30$ or 30%.

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Administration QUESTION #9559

Question 2086

The distinction between 'charged expenditure' and 'votable expenditure' in Pakistan's Annual Budget Statement has constitutional significance. Which category does NOT require a vote (approval) by the National Assembly and why?

Expenditure on development projects approved by NEC — because these are technically approved before the budget is presented to the Assembly
Charged expenditure (salaries of the President, judges, etc.) — because these are obligations fixed by the Constitution to protect the independence of constitutional offices from legislative interference✔️
Expenditure of autonomous bodies — because they have independent Boards of Governors who have already approved their own budgets
Expenditure on debt repayment to foreign creditors — because international agreements supersede parliamentary authorization

Correct Answer Logic:

Charged expenditure includes constitutionally mandated costs (presidential office, judicial salaries, repayment of loans) that are presented to but not voted upon by the Assembly. The rationale is constitutional independence — if the salaries of judges or the President required annual parliamentary approval, their independence could be compromised through budget manipulation. This is a fundamental protection built into the constitutional design.

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Chemistry QUESTION #1097

Question 2087

Dalton's Atomic theory could NOT explain which of the following?

Law of multiple proportion
Law of gaseous volume✔️
Law of conservation of mass
Law of constant proportion

Correct Answer Logic:

Dalton's Atomic theory successfully explained: Law of conservation of mass, Law of constant proportion, and Law of multiple proportions. It could NOT explain Gay-Lussac's Law of Gaseous Volumes (Law of combining volumes) because Dalton's theory did not account for the concept of molecules vs atoms in gases.

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Library Sciences QUESTION #1519

Question 2088

Indexes and abstracts differ primarily in that abstracts:

Are always published annually while indexes are monthly
Provide a brief summary of the content of each document in addition to the citation✔️
Cover only books while indexes cover journals
Are restricted to government publications

Correct Answer Logic:

While both indexes and abstracts provide citations to documents, abstracts additionally include a brief summary (abstract) of each document's content, helping users assess relevance before retrieving the full text — saving time and effort.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3561

Question 2089

Which drug is used to treat 'Amoebic Dysentery'?

Ipecac✔️
Senna
Aloe
Ginger

Correct Answer Logic:

Emetine from Ipecac is effective against amoebae.

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Ability / HR / Governance / Special Education QUESTION #1880

Question 2090

Under Rule 2(2) the term 'authority' refers to the appointing authority prescribed in which specific rule?

Rule 4 of Civil Servants (Appointment Promotion and Transfer) Rules 1973
Rule 6 of Civil Servants (Appointment Promotion and Transfer) Rules 1973✔️
Rule 8 of Civil Servants (Appointment Promotion and Transfer) Rules 1973
Rule 5 of Civil Servants (Appeal) Rules 1977

Correct Answer Logic:

Rule 2(2) expressly refers to the appointing authority prescribed in Rule 6 of the Civil Servants (Appointment Promotion and Transfer) Rules 1973.

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General Abilities QUESTION #7987

Question 2091

The daily wage is increased by 25% and Adil now earns Rs. 25 per day. What was his daily wage before the increase?

Rs. 25
Rs. 20✔️
Rs. 30
None of these

Correct Answer Logic:

Let original wage $= x$.
$x \times 1.25 = 25 \Rightarrow x = \dfrac{25}{1.25} = 20$
Original daily wage $= \text{Rs. } 20$

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3042

Question 2092

A 'Light-resistant' container protects the drug from:

Air
Moisture
Actinic (UV) light✔️
Temperature

Correct Answer Logic:

Light-resistant (usually amber) containers prevent photodegradation.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3317

Question 2093

'Drug Resistance' in bacteria is often spread through the exchange of:

Mitochondria
Plasmids (Extrachromosomal DNA)✔️
Ribosomes
Capsules

Correct Answer Logic:

Plasmids often carry 'R-factors' that provide resistance to multiple antibiotics.

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Planning QUESTION #4958

Question 2094

Which technique is most effective for reducing urban heat island effect?

Increasing building density
Expanding asphalt surfaces
Green infrastructure and tree planting✔️
Removing vegetation

Correct Answer Logic:

Green infrastructure (green roofs, urban forests, parks) reduces urban heat island effect through evapotranspiration, shading, and lower surface temperatures compared to concrete and asphalt.

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MCQs Section QUESTION #4912

Question 2095

A recent New York Times editorial criticized the city's election board for, first of all, failing to replace outmoded voting machines prone to breakdowns, and _____ investigate allegations of corruption involving board members.

secondarily, for their failure to
secondly, for their failure to
secondly, that they failed and did not
second, for failing to✔️

Correct Answer Logic:

Parallel structure requires matching 'for failing…to replace' with 'for failing to investigate.' 'Second' is the preferred GMAT parallel list marker. Options A and B use 'their failure to,' which is not parallel with the gerund 'failing.' Option C uses 'that they failed' which also breaks the parallel.

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Dairy Food Science and Technology QUESTION #5946

Question 2096

Microfiltration (MF) applied to skim milk in dairy processing achieves:

Complete removal of bacteria and spores ($>99.9\%$ bacterial reduction) producing ESL (extended shelf-life) milk✔️
Concentration of whey proteins
Hydrolysis of lactose
Reduction of fat content to zero

Correct Answer Logic:

Microfiltration of skim milk using $1.4\;\mu\text{m}$ ceramic membranes (Bactocatch process) achieves $>99.9\%$ reduction of bacteria and spores, producing ESL milk with refrigerated shelf life of $45\text{–}60+$ days vs. $15\text{–}21$ days for HTST milk.

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Pharmacokinetics and Pharmacodynamics QUESTION #3846

Question 2097

Which of the following characteristics is a defining feature of drugs exhibiting non-linear (saturable) pharmacokinetics?

A constant ratio of drug metabolites is formed as the administered dose increases
The elimination half-life increases as the administered dose is increased✔️
The area under the curve (AUC) increases in direct proportion to an increase in the administered dose
The steady-state drug concentration increases in direct proportion to the dosing rate

Correct Answer Logic:

In non-linear pharmacokinetics, metabolic enzymes become saturated at higher doses. This leads to disproportionately longer half-lives, higher AUC, and unpredictable dose–concentration relationships.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3140

Question 2098

'Epinephrine' (Adrenaline) is produced by the:

Adrenal Cortex
Adrenal Medulla✔️
Posterior Pituitary
Testes

Correct Answer Logic:

The medulla produces the 'fight or flight' hormones.

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Agronomy QUESTION #2093

Question 2099

Osmotic adjustment in crops under drought stress is the process by which:

Plants shed their leaves to reduce total transpiring surface area
Cells actively accumulate compatible solutes (proline, glycine betaine, soluble sugars, K⁺) in the cytoplasm and vacuole, lowering osmotic potential and maintaining turgor pressure and metabolic function at lower soil water potentials — enabling continued growth and gas exchange✔️
Roots lose their selective permeability, allowing free water movement into depleted cells
Stomata permanently close to prevent any further water loss

Correct Answer Logic:

Osmotic adjustment (osmoregulation) is an active cellular response to water deficit: solutes accumulate without causing toxicity, lowering $\psi_s$ (osmotic potential) and maintaining positive turgor pressure ($\psi_p = \psi_w - \psi_s$) at lower leaf water potentials. This sustains stomatal opening, photosynthesis, root elongation into dry soil, and metabolic processes — a key drought tolerance mechanism quantified by the Pressure-Volume curve.

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General Knowledge QUESTION #8270

Question 2100

Which feature in Microsoft PowerPoint allows a user to quickly create a simple presentation with predefined content?

Auto Content Wizard✔️
Transition Wizard
Chart Wizard
Animations

Correct Answer Logic:

Auto Content Wizard (or AutoContent Wizard) helps create a presentation quickly.

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