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

Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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%.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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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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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich