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Civil / Architecture QUESTION #2345

In the Moment Distribution Method for indeterminate beams, the carry-over factor (COF) for a prismatic member with the far end FIXED is:

$\text{COF} = 0$
$\text{COF} = +\dfrac{1}{3}$
$\text{COF} = +\dfrac{1}{2}$✔️
$\text{COF} = -\dfrac{1}{2}$

Correct Answer Logic:

For a prismatic member with far end fixed, the carry-over factor is $+\dfrac{1}{2}$. When a moment $M$ is applied at the near end, $M/2$ is carried over to the far end (same sign). If the far end is pinned, COF = 0. If the far end is free, there is no carry-over meaningful definition since the member is statically determinate on one end.

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Home Economics QUESTION #6256

Question 2

The 'Empty Nest' syndrome refers to which stage of the family life cycle?

Beginning stage
Expanding stage
Contracting stage✔️
Founding stage

Correct Answer Logic:

The contracting stage begins when adult children leave the home.

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Civil / Architecture QUESTION #2340

Question 3

According to Rankine's theory, the passive earth pressure coefficient $K_p$ for a frictionless vertical wall with horizontal cohesionless backfill (friction angle $\phi$) is:

$K_p = \dfrac{1 - \sin\phi}{1 + \sin\phi}$
$K_p = \tan^2\!\left(45° - \dfrac{\phi}{2}\right)$
$K_p = \dfrac{1 + \sin\phi}{1 - \sin\phi}$✔️
$K_p = 1 + \sin\phi$

Correct Answer Logic:

Rankine's passive pressure coefficient: $K_p = \dfrac{1 + \sin\phi}{1 - \sin\phi} = \tan^2\!\left(45° + \dfrac{\phi}{2}\right)$. Note that $K_p = 1/K_a$. Passive pressure develops when the wall moves into the retained soil, mobilizing the maximum shear resistance. Options A and B represent the active coefficient $K_a$.

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Math (Module-1) QUESTION #5470

Question 4

Line $t$ in the $xy$-plane has slope $-\frac{1}{3}$ and passes through $(9, 10)$. Which equation defines line $t$?

$y = \frac{1}{3}x - 13$
$y = 9x + 10$
$y = -\frac{x}{3} + 10$
$y = -\frac{x}{3} + 13$✔️

Correct Answer Logic:

$y - 10 = -\frac{1}{3}(x - 9) \implies y = -\frac{1}{3}x + 3 + 10 \implies y = -\frac{1}{3}x + 13$.

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Civil Engineering QUESTION #6595

Question 5

For normal-weight concrete with $f'_c = 3000\,\text{psi}$, the modulus of elasticity $E_c$ (ACI formula) is approximately:

3.15 × 10⁶ psi✔️
3.32 × 10⁶ psi
3.48 × 10⁶ psi
3.65 × 10⁶ psi

Correct Answer Logic:

ACI 318 formula: $E_c = 57{,}000\sqrt{f'_c}\,\text{(psi)}$. $E_c = 57{,}000\sqrt{3000} = 57{,}000 \times 54.77 \approx 3{,}122{,}000\,\text{psi} \approx 3.12 \times 10^6\,\text{psi}$, closest to option (a).

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Ability / HR / Governance / Special Education QUESTION #1913

Question 6

Under Rule 5(6) which officers are permitted to take initiative in approaching a Minister on official business?

Officers of BPS-17 and above
Section Officers and above
Only a Secretary Additional Secretary or Joint Secretary✔️
Deputy Secretary and above

Correct Answer Logic:

Rule 5(6) restricts the initiative of approaching a Minister to Secretaries Additional Secretaries and Joint Secretaries only. An Additional/Joint Secretary must also communicate the points made to the Secretary at the first opportunity.

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Ability / HR / Governance / Special Education QUESTION #1921

Question 7

Under Rule 12(2) if a Minister cannot agree with the Finance Minister and desires to press a proposal requiring Finance Division concurrence what is the procedure?

The proposal is automatically rejected
The Minister may submit it to the Prime Minister or if the Prime Minister desires to the Cabinet✔️
The proposal is referred to the Secretaries' Committee for resolution
The Cabinet Secretary decides the matter

Correct Answer Logic:

Rule 12(2) provides that if a Minister cannot reach agreement with the Minister for Finance and desires to press the proposal he shall submit it to the Prime Minister or if the Prime Minister so desires to the Cabinet.

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English QUESTION #8439

Question 8

Identify the incorrectly spelled word:

speech
speak
break
bleed✔️

Correct Answer Logic:

All correct. Key says D? Possibly 'bleed'? No. Given key, D.

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Mathematics QUESTION #4159

Question 9

The D'Alembert solution of the wave equation $u_{tt} = c^2 u_{xx}$ with $u(x,0) = f(x)$ and $u_t(x,0) = g(x)$ is:

$u(x,t) = \frac{f(x+ct) + f(x-ct)}{2} + \frac{1}{2c}\int_{x-ct}^{x+ct} g(s)ds$✔️
$u(x,t) = f(x+ct) + f(x-ct)$
$u(x,t) = \frac{1}{2}[f(x+ct) - f(x-ct)]$
$u(x,t) = \frac{1}{c}\int_{x-ct}^{x+ct} g(s)ds$

Correct Answer Logic:

D'Alembert's formula: $u(x,t) = \frac{f(x+ct) + f(x-ct)}{2} + \frac{1}{2c}\int_{x-ct}^{x+ct} g(s)ds$. First term from initial displacement, second from initial velocity.

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Math Physics Chemistry Biology QUESTION #4302

Question 10

Which of the following blood vessels have the lowest blood velocity, with correct reason?

Arteries: Due to thick walls
Capillaries: due to highest overall cross-sectional area✔️
Veins: due to blood flow against gravity
Capillaries: Due to two-way blood flow in capillaries

Correct Answer Logic:

Blood velocity is lowest in capillaries because the total cross-sectional area of all capillaries combined is the greatest, so by continuity, blood slows down significantly.

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Urdu QUESTION #5263

Question 11

مسدس کے ہر بند میں کتنے مصرے ہوتے ہیں؟

چار
پانچ
چھ✔️
آٹھ

Correct Answer Logic:

مسدس میں ہر بند چھ مصروں پر مشتمل ہوتا ہے۔ اس کا ہر بند دو قافیوں پر مختتم ہوتا ہے۔

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Agronomy QUESTION #2107

Question 12

Soil organic carbon (SOC) sequestration through agricultural management contributes to climate change mitigation because:

SOC increases soil pH, which directly reduces methane emissions from paddy soils
Increasing SOC stocks through reduced tillage, organic amendments, cover crops, and biochar additions removes CO₂ from the atmosphere and stores it in stable soil organic matter pools — partially offsetting agricultural GHG emissions while also improving soil health and productivity✔️
SOC sequestration is exclusively achieved through afforestation and has no relevance to cropland management
Higher SOC concentrations accelerate denitrification, converting harmful $NO_3^-$ to inert $N_2$

Correct Answer Logic:

Agricultural soils have lost 50–70% of their original SOC through tillage, erosion, and oxidation. Conservation tillage, organic matter additions, cover cropping, and biochar can rebuild SOC stocks. Each 1% increase in SOC in the top 30 cm represents ~25 t CO₂-equivalent per hectare sequestered. The '4 per 1000' initiative proposes 0.4% annual SOC increase globally to offset anthropogenic CO₂ emissions — highlighting cropland SOC management as a climate mitigation strategy.

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Verbal Reasoning QUESTION #8093

Question 13

Given the diagram of three circles with centers $P$, $Q$, and $R$ forming an equilateral triangle $PQR$, where each pair of circles has exactly one point in common:

Compare:

Column A: The perimeter of triangle $PQR$

Column B: The circumference of the circle with center $Q$

Column A is greater
Column B is greater
✔️
The two quantities are equal
The relationship cannot be determined

Correct Answer Logic:

Since each pair of circles has exactly one point in common, the circles are externally tangent to each other. If all circles have the same radius $r$, then the distance between any two centers equals $2r$.

Since triangle $PQR$ is equilateral with side length $2r$:

Perimeter of $\triangle PQR = 3(2r) = 6r$
Circumference of circle with center $Q = 2\pi r$

Comparing: $6r$ vs $2\pi r$

Dividing by $2r$: $3$ vs $\pi$

Since $\pi \approx 3.14159 > 3$, we have $2\pi r > 6r$.

Therefore, Column B (the circumference) is greater than Column A (the perimeter).

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Pakistan Affairs QUESTION #288

Question 14

What was the key feature of the Mughal Rajput policy during their rule in India?

Forced conversion to Islam
Exclusion from administration
Complete annexation
Integration into the Mughal administration✔️

Correct Answer Logic:

Started by Akbar, this policy involved matrimonial alliances and high ranks (Mansabs) for Rajputs.+1

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Accounting & Finance QUESTION #6066

Question 15

A company reported a net profit of Rs. 83,600 for the year ended 31 December 2025. It was later discovered that Rs. 18,000 paid for a motor van had been wrongly debited to motor expenses. The company depreciates motor vans at 25% per year (straight line), with a full year's charge in the year of acquisition. What is the corrected net profit?

Rs. 1,06,100
Rs. 70,100
Rs. 97,100✔️
Rs. 1,01,600

Correct Answer Logic:

Step 1: The Rs. 18,000 was wrongly expensed. Reversing this increases profit: $83{,}600 + 18{,}000 = 1{,}01{,}600$.

Step 2: Now charge the correct depreciation on the van: $18{,}000 \times 25\% = Rs.\ 4{,}500$.

Step 3: Subtract depreciation: $1{,}01{,}600 - 4{,}500 = \mathbf{Rs.\ 97{,}100}$

The net effect is: profit increases by Rs. 18,000 (expense reversed) but decreases by Rs. 4,500 (depreciation charged) — a net increase of Rs. 13,500 over the originally reported profit.

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HR and Management QUESTION #6445

Question 16

In HRM, the term 'staffing' encompasses:

Only recruitment and selection processes
HR planning, recruitment, and selection✔️
All HR functions including compensation
Training and development exclusively

Correct Answer Logic:

The text defines staffing as including HR planning, recruitment, and selection. These are the core staffing functions, while other activities like training, compensation, and benefits are separate HR functions.

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Mathematics QUESTION #7440

Question 17

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given?

mean
median
mode
variance✔️

Correct Answer Logic:

When a constant is added to all observations, the mean, median, and mode all increase by that constant. However, variance (and standard deviation) measure the spread of data around the mean. Since all values shift by the same amount, the spread remains unchanged. Therefore, variance does not change when grace marks are added uniformly to all students.

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General Knowledge QUESTION #8887

Question 18

What was the profession of Mohtarma Fatima Jinnah?

Doctor
Lawyer
Dentist✔️
Economist

Correct Answer Logic:

Fatima Jinnah was a dentist.

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Chemistry QUESTION #7136

Question 19

The standard Gibbs free energy for a specific reaction is defined by the equation $\Delta_r G^{\circ} = A - BT$, where $A$ and $B$ are non-zero constants. Which statement regarding the thermal nature of the reaction is correct?

The reaction is Endothermic if $A > 0$✔️
The reaction is Exothermic if $A > 0$ and $B < 0$
The reaction is Endothermic if $A < 0$ and $B > 0$
The reaction is Exothermic if $B < 0$

Correct Answer Logic:

Comparing $\Delta_r G^{\circ} = A - BT$ with the standard Gibbs-Helmholtz equation $\Delta G^{\circ} = \Delta H^{\circ} - T\Delta S^{\circ}$, we can identify that $A$ represents $\Delta H^{\circ}$ and $B$ represents $\Delta S^{\circ}$. If $A > 0$, then $\Delta H^{\circ} > 0$, which defines an endothermic reaction.

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Pakistan Affairs QUESTION #7687

Question 20

What is the main theme of Pakistan's updated National Security Policy (2022-2026)?

Military modernization
Economic security✔️
Regional power dynamics
None of these

Correct Answer Logic:

Pakistan's National Security Policy (2022-2026) prioritizes economic security as its central theme. The policy recognizes that true national security is rooted in economic strength and focuses on putting citizens and economic development at the core of national security considerations.

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