Reading Mode - Questions

Mathematics QUESTION #1326

Green's theorem applied to the vector field $\vec{F}=\left(\dfrac{1}{2}xy^4,\dfrac{1}{2}x^4y\right)$ over the rectangle $[0,3]\times[0,2]$ gives:

$\iint_R 2x^3y-2xy^3\,dA$✔️
$\iint_R x^3y+xy^3\,dA$
$\iint_R xy^3-x^3y\,dA$
$\iint_R 2(x^3+y^3)\,dA$

Correct Answer Logic:

By Green's theorem: $\oint_C\vec{F}\cdot d\vec{r}=\iint_R\left(\dfrac{\partial Q}{\partial x}-\dfrac{\partial P}{\partial y}\right)dA$. With $P=\dfrac{1}{2}xy^4$ and $Q=\dfrac{1}{2}x^4y$: the integrand is $2x^3y-2xy^3$. Integrating over the rectangle gives the circulation.

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Boilers Mechanical Engineering QUESTION #2505

Question 2

The modified Goodman criterion for fatigue failure under combined mean stress $\sigma_m$ and alternating stress $\sigma_a$ is:

$\frac{\sigma_a}{S_e} + \frac{\sigma_m}{S_y} = n$
$\frac{\sigma_a}{S_e} + \frac{\sigma_m}{S_{ut}} = \frac{1}{n}$✔️
$\frac{\sigma_a}{S_e} - \frac{\sigma_m}{S_{ut}} = \frac{1}{n}$
$\frac{\sigma_a}{S_y} + \frac{\sigma_m}{S_e} = \frac{1}{n}$

Correct Answer Logic:

The modified Goodman criterion: $\frac{\sigma_a}{S_e}+\frac{\sigma_m}{S_{ut}}=\frac{1}{n}$, where $S_e$ is the endurance limit and $S_{ut}$ is the ultimate tensile strength.

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Mathematics QUESTION #11171

Question 3

Let $A$ be a finite subset of a metric space $X$. Then $A^d =$

Singleton set
$\emptyset$✔️
$A$
$X\setminus A$

Correct Answer Logic:

The derived set $A^d$ (set of all limit/accumulation points of $A$) of a finite set in a metric space is the empty set $\emptyset$. A finite set has no limit points because any neighbourhood of a point in the space contains only finitely many points of $A$, so no point is a limit point of $A$.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3011

Question 4

The purpose of a 'Suspending Agent' is to:

Increase the rate of settling
Increase the viscosity of the vehicle✔️
Lower the boiling point
Sterilize the preparation

Correct Answer Logic:

Suspending agents increase viscosity to slow down the sedimentation of solid particles.

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Reading and Writing (Module-1) QUESTION #10382

Question 5

The critic praised the novel's ------- prose, noting how each sentence was pared down to its essential meaning.

ornate
spare✔️
verbose
convoluted

Correct Answer Logic:

Prose 'pared down to essential meaning' is concise, matching 'spare.'

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Reading and Writing (Module-1) QUESTION #5373

Question 6

Scientists rely on exact measurement standards to ensure experiment results are valid. ______ metrologists developed the International System of Units (SI), which is based on constant natural values like the speed of light. Which choice completes the text with the most logical transition?

In contrast,
Regardless,
In addition,
For this reason,✔️

Correct Answer Logic:

The development of the SI system is a direct result ('for this reason') of the need for precise standards.

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General Ability and Fire Fighting QUESTION #5626

Question 7

Which firefighting method would be MOST appropriate for a small cooking oil fire on a stove?

Applying water directly to the fire
Covering the pan with a lid to smother it✔️
Using a CO2 extinguisher
Applying dry powder

Correct Answer Logic:

Covering the pan with a lid removes oxygen (smothering)

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Political Science QUESTION #6688

Question 8

The 18th Amendment to the Constitution of Pakistan (2010) primarily focused on:

Presidential Powers
Provincial Autonomy✔️
Judicial Appointments
None of these

Correct Answer Logic:

The 18th Amendment significantly increased provincial autonomy and removed the President's power to dissolve Parliament.

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MCQs Section QUESTION #5253

Question 9

یہ آرزو تھی تجھے گل کے روبرو کرتے، ہم اور بلبلِ بے تاب گفتگو کرتے، یہ شعر کس کا ہے؟

غالب
حیدر علی آتش✔️
ناصر کاظمی
ان میں سے کوئی نہیں

Correct Answer Logic:

یہ شعر حیدر علی آتش کا ہے۔

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Geography QUESTION #6305

Question 10

Thermohaline circulation in oceans is primarily driven by:

Wind stress at ocean surface
Density differences caused by temperature and salinity variations✔️
Tidal forces from moon and sun
Coriolis effect deflecting ocean currents

Correct Answer Logic:

Thermohaline circulation (the global ocean conveyor belt) is driven by density gradients created by temperature (thermo-) and salinity (-haline) variations. Cold, salty water sinks in polar regions, driving deep ocean circulation, while warm water flows poleward at the surface.

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Psychology QUESTION #9931

Question 11

According to Erikson's theory, the central struggle during adolescence is:

Intimacy versus isolation
Initiative versus guilt
Identity versus role confusion✔️
Competence versus inferiority

Correct Answer Logic:

Erikson's stage for adolescence (ages 12–18) centers on Identity versus Role Confusion — forming a coherent self-concept. Success produces a stable identity; failure leads to role confusion and identity diffusion.

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Quantitative Reasoning QUESTION #8008

Question 12

The actual ------- of Wilson's position was always ------- by his refusal to compromise after having initially agreed to negotiate a settlement.

outcome...foreshadowed
logic...enhanced
rigidity...betrayed✔️
uncertainty...alleviated

Correct Answer Logic:

Wilson first agreed to negotiate but then refused to compromise—this reveals something contradictory about his position. Rigidity...betrayed is correct: his actual rigidity (inflexibility) was betrayed (revealed/exposed) by refusing to compromise after initially seeming open to negotiation.

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Agronomy QUESTION #2111

Question 13

Integrated soil fertility management (ISFM) is distinguished from conventional fertilizer recommendations by:

Replacing all synthetic fertilizers with organic inputs only
Combining the use of improved germplasm, mineral fertilizers, and organic resources in a site-specific manner that leverages synergistic interactions — where organic matter improves the efficiency of mineral fertilizers and mineral fertilizers accelerate organic matter decomposition and nutrient release — targeting smallholder farming systems in sub-Saharan Africa and South Asia✔️
Using only locally available organic materials regardless of their nutrient content or crop nutrient demand
Applying mineral fertilizers at maximum agronomic doses to build soil fertility rapidly

Correct Answer Logic:

ISFM (Vanlauwe et al.) is based on four components: (1) use of improved varieties responsive to inputs, (2) appropriate mineral fertilizer application, (3) organic resource management, and (4) local adaptation. Key insight: organic inputs alone rarely meet crop demand, but combined with mineral fertilizers, organic matter improves fertilizer response through enhanced soil biological activity, water retention, and reduced P-fixation — achieving yield responses greater than either input alone.

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Journalism / Mass Communication QUESTION #6388

Question 14

The Soviet Theory of the press, as described in the textbook, emerged after the Russian Revolution of 1917. Which of the following is NOT a feature of the Soviet Theory?

The media is closely tied to communist ideology
The media serves as a collective agitator, propagandist, and educator in building communism
No private ownership of the media is permitted
Journalists and media professionals have full editorial autonomy within their organisations✔️

Correct Answer Logic:

The Soviet Theory of the press emerged from Marxist-Leninist ideology after the 1917 Russian Revolution. Its key features are:

Closely tied to communist ideology — media is an instrument of the state/party
Media functions as a collective agitator, propagandist, and educator in building communism (Lenin's phrase)
No private ownership of media — all media belongs to the state or party
The government is superior to media institutions
Media is expected to be serious and purposeful

Full editorial autonomy for journalists is a feature of the Libertarian Theory, which is the direct opposite of the Soviet approach. Under Soviet theory, media professionals are instruments of the state's ideological goals — they have no independent editorial authority. The Soviet Theory does, however, propose a positive role for media: not merely reinforcing authority (as in Authoritarianism), but actively building a new communist society.

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Math Physics Chemistry Biology QUESTION #4295

Question 15

The following is an example of a globular protein:

Keratin
Collagen
Hemoglobin✔️
Histone

Correct Answer Logic:

Hemoglobin is a classic globular protein — roughly spherical, water-soluble, and has a functional/metabolic role (oxygen transport). Keratin and collagen are fibrous proteins.

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Pakistan Affairs QUESTION #9029

Question 16

Which Prime Minister of Pakistan had the shortest tenure?

Gen. Muhammad Ayub Khan
I.I. Chundrigar✔️
Malik Feroze Khan Noon
M. Ali Bogra

Correct Answer Logic:

I.I. Chundrigar served only about two months in 1957.

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Electronics Engineering QUESTION #11739

Question 17

A frequency counter displays $1.000\,003\,\text{MHz}$ for a $1\,\text{MHz}$ reference signal. The measurement error in ppm is:

$3\,\text{ppm}$✔️
$0.3\,\text{ppm}$
$30\,\text{ppm}$
$0.003\,\text{ppm}$

Correct Answer Logic:

Error $= \dfrac{|f_{measured} - f_{actual}|}{f_{actual}} \times 10^6 = \dfrac{1.000003 - 1.000000}{1.000000} \times 10^6 = 3 \times 10^{-6} \times 10^6 = \mathbf{3\,\text{ppm}}$. This ppm (parts per million) figure characterises oscillator and counter accuracy. TCXO stability is typically 0.5–2.5 ppm; OCXO provides < 0.01 ppm.

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Boilers Mechanical Engineering QUESTION #2443

Question 18

The dynamic magnification factor (DMF) $A_1$ for a damped forced vibration system is:

$A_1 = \frac{1}{\sqrt{\left[1-\left(\frac{p}{\omega_n}\right)^2\right]^2 + \left[2\zeta\frac{p}{\omega_n}\right]^2}}$✔️
$A_1 = \frac{1}{1-(p/\omega_n)^2}$
$A_1 = \frac{2\zeta p/\omega_n}{1-(p/\omega_n)^2}$
$A_1 = \left(1+\frac{p}{\omega_n}\right)^{-1}$