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Economics QUESTION #1699

Which Nobel Prize-winning economist conceptualised the framework of 'Development as Freedom,' arguing that development must be evaluated by the expansion of human capabilities and substantive freedoms?

Paul Samuelson
Amartya Sen✔️
Milton Friedman
None of these

Correct Answer Logic:

Amartya Sen, the Indian economist and Nobel Laureate (1998), articulated the 'Development as Freedom' framework in his landmark 1999 book of the same name. He argued that development should be understood as the expansion of real freedoms people enjoy — including political freedoms, economic facilities, social opportunities, transparency guarantees, and protective security. This approach influenced the UNDP's Human Development Index (HDI) and reoriented development economics beyond GDP growth.

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Architecture QUESTION #2335

Question 1242

In airport terminal design, the standard space allocation per passenger for bars and shopping areas is:

$1.4 \, \text{m}^2$
$1.8 \, \text{m}^2$
$2.1 \, \text{m}^2$✔️
$2.0 \, \text{m}^2$

Correct Answer Logic:

According to The Architects' Handbook (Pickard), the terminal building space standards per passenger allocate $2.1 \, \text{m}^2$ for bars/shopping areas — the largest allocation. Check-in is $1.4 \, \text{m}^2$, departure lounge $1.8 \, \text{m}^2$, and customs/immigration $2.0 \, \text{m}^2$.

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Urdu QUESTION #5160

Question 1243

تصادق حسین خالد، میراجی اور این ایم راشد میں کیا مشترک ہے؟

مزاح نگاری
معری نظم
آزاد نظم✔️
ان میں سے کوئی نہیں

Correct Answer Logic:

تصادق حسین خالد، میراجی اور این ایم راشد تینوں آزاد نظم کے علمبردار شعراء تھے۔

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Mathematics QUESTION #4158

Question 1244

For the Laplace equation $u_{xx} + u_{yy} = 0$ on $0 < x < a$, $0 < y < b$ with $u(0,y) = u(a,y) = u(x,0) = 0$ and $u(x,b) = f(x)$, what is the general form of solution using separation of variables?

$u(x,y) = \sum_{n=1}^{\infty} B_n \sin(\frac{n\pi x}{a})\sinh(\frac{n\pi y}{a})$✔️
$u(x,y) = \sum_{n=1}^{\infty} B_n \cos(\frac{n\pi x}{a})\cosh(\frac{n\pi y}{a})$
$u(x,y) = \sum_{n=1}^{\infty} B_n \sin(\frac{n\pi x}{a})\cos(\frac{n\pi y}{b})$
$u(x,y) = \sum_{n=1}^{\infty} B_n e^{\frac{n\pi x}{a}}\sin(\frac{n\pi y}{b})$

Correct Answer Logic:

Boundary conditions $u(0,y) = u(a,y) = 0$ suggest $X(x) = \sin(\frac{n\pi x}{a})$. Condition $u(x,0) = 0$ gives $Y(0) = 0$, so $Y(y) = \sinh(\frac{n\pi y}{a})$.

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Chemistry QUESTION #4337

Question 1245

Methanol ($CH_3OH$) is produced by reduction of:

Formaldehyde ($HCHO$)✔️
Acetaldehyde ($CH_3CHO$)
Propanal ($C_2H_5CHO$)
Propanone ($CH_3COCH_3$)

Correct Answer Logic:

Reduction of formaldehyde ($HCHO$) by adding $H_2$ gives methanol ($CH_3OH$): $HCHO + H_2 \rightarrow CH_3OH$. Reduction of an aldehyde gives a primary alcohol.

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Mechanical Engineering QUESTION #2537

Question 1246

For a system in static equilibrium in 3D, the necessary and sufficient conditions are:

Three force equations $\sum F=0$ only
One force and one moment equation
All six scalar equations: $\sum F_x=\sum F_y=\sum F_z=0$ and $\sum M_x=\sum M_y=\sum M_z=0$✔️
Two force equations and one moment equation

Correct Answer Logic:

For complete 3D static equilibrium, both translational ($\sum\mathbf{F}=0$) and rotational ($\sum\mathbf{M}=0$) equilibrium must be satisfied about every axis, yielding six independent scalar equations.

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Electrical Engineering QUESTION #2160

Question 1247

A signal $x(t) = 5\cos(200\pi t) + 3\sin(400\pi t)$ is sampled at $f_s = 300\,\text{Hz}$. Which frequency component(s) experience aliasing?

Both $100\,\text{Hz}$ and $200\,\text{Hz}$✔️
$100\,\text{Hz}$ only
$200\,\text{Hz}$ only
No aliasing occurs

Correct Answer Logic:

The two components have frequencies $100\,\text{Hz}$ and $200\,\text{Hz}$. The Nyquist limit is $f_s/2 = 150\,\text{Hz}$. Since both exceed $150\,\text{Hz}$, both components alias.

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Others section QUESTION #4734

Question 1248

The SAARC summit of 2004 was held in which city?

Islamabad✔️
Kathmandu
Colombo
Dhaka

Correct Answer Logic:

The 12th SAARC Summit was held in Islamabad, Pakistan in January 2004, focusing on regional cooperation and free trade.

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Chemistry QUESTION #465

Question 1249

In synthetic fibres __________ bonding is responsible for tensile strength.

Nitrogen
Hydrogen
Oxygen
None of these✔️

Correct Answer Logic:

Answer key shows D (None of these)

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Physics and Math QUESTION #760

Question 1250

A non-negative rational number is group under:

Addition✔️
Multiplication
Subtraction
Both A and C

Correct Answer Logic:

Non-negative rational numbers form a group under addition as they satisfy closure, associativity, identity (0), and inverse properties.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3574

Question 1251

'Palisade cells' are a type of tissue found in:

Roots
Mesophyll of leaves✔️
Bark
Wood

Correct Answer Logic:

They contain chloroplasts and are studied in leaf microscopy.

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Basic Mathematics QUESTION #2849

Question 1252

Find the area of a rectangle with length 15 m and breadth 8 m.

90 m²
100 m²
120 m²✔️
125 m²

Correct Answer Logic:

Area of rectangle $= \text{length} \times \text{breadth} = 15 \times 8 = 120 \text{ m}^2$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3380

Question 1253

'Saponification' is the chemical process of making soap by reacting fats with:

Acids
Strong bases (like $NaOH$)✔️
Enzymes
Oxygen

Correct Answer Logic:

Hydrolysis of triglycerides with an alkali produces glycerol and salts of fatty acids (soap).

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Computer Science QUESTION #1147

Question 1254

Which join returns all records when there is a match in either left or right table?

Inner Join
Left Join
Full Outer Join✔️
Right Join

Correct Answer Logic:

A Full Outer Join combines the results of both Left and Right outer joins and returns all rows from both tables, filling with NULLs where matches are missing.

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Urdu QUESTION #5133

Question 1255

'یا خدا' اور 'ماں جی' کس کے مشہور افسانے ہیں؟

احمد ندیم قاسمی✔️
ڈاکٹر عبادت بریلوی
قدرت اللہ شہاب
ڈاکٹر سید عبداللہ

Correct Answer Logic:

یا خدا اور ماں جی احمد ندیم قاسمی کے مشہور افسانے ہیں۔

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English QUESTION #709

Question 1256

What is the central philosophy of Emerson's "The Over-Soul"?

Rationalism
Unity of all things✔️
Individualism
Materialism

Correct Answer Logic:

Emerson posits a "supreme reality" or "common soul" within which every man's particular being is contained.

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MCQs Section QUESTION #4895

Question 1257

A fire in an enclosed space burns with the aid of reflected radiation that preheats the fuel, making ignition much easier and _____.

flames spreading
flame spreads
flames are caused to spread
causing flames to spread✔️

Correct Answer Logic:

Causing flames to spread' is parallel with 'making ignition much easier' — both are participial phrases modifying the main clause. Options A, B, and C all break this participial parallel structure. Option E (causing spreading of the flames) would be unnecessarily wordy.

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Electrical Engineering QUESTION #2190

Question 1258

A transmission line has $Z_1 = (0.4+j1.2)\,\Omega/\text{km}$ over $80\,\text{km}$. A distance relay's Zone-1 is set to protect $80\%$ of the line. The Zone-1 reach impedance magnitude is approximately:

$80.9\,\Omega$✔️
$64.0\,\Omega$
$101.2\,\Omega$
$50.0\,\Omega$

Correct Answer Logic:

$|Z_1/\text{km}| = \sqrt{0.4^2+1.2^2} = \sqrt{1.6} \approx 1.2649\,\Omega/\text{km}$. Total $|Z_{line}| = 80\times1.2649 \approx 101.2\,\Omega$. Zone-1 reach $= 0.8\times101.2 \approx 80.9\,\Omega$.

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