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General Knowledge QUESTION #4742

The Mahbub ul Haq Human Development Centre is located in which city?

Karachi
Lahore
Islamabad✔️
Peshawar

Correct Answer Logic:

The Mahbub ul Haq Human Development Centre is located in Islamabad, Pakistan. It was founded by Dr. Mahbub ul Haq, who also developed the Human Development Index.

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Accounting & Finance QUESTION #9665

Question 2

In accounting for Non-Profit Organizations, the Accumulated Fund (Capital Fund) is computed as:

Total subscriptions collected during the year
Total income minus total expenditure for the year
Assets minus Liabilities as on the opening date via Statement of Affairs✔️
Donations plus grants received during the year

Correct Answer Logic:

The opening balance of Capital Fund is computed through the Statement of Affairs on the opening date: Capital Fund = Total Assets – Total Liabilities. This mirrors the owner's equity calculation in business entities. Subsequent surpluses/deficits and capital receipts are then adjusted to arrive at the closing balance.

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Civil / Architecture QUESTION #2338

Question 3

In airport terminal design, the distance beyond which assisted passenger movement (travellators, light rail, or buses) is required is:

Over 100 m
Over 200 m
Over 300–400 m✔️
Over 500 m

Correct Answer Logic:

The Architects' Handbook states travel distances of up to 300–400 m are acceptable on foot. Beyond that, assisted movement is required: travellators for 300–1000 m, light rail systems for 1–3 km, and buses for complex multi-stop journeys such as terminal to satellite via the apron.

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Electrical Engineering QUESTION #2174

Question 4

In LQR optimal control, the cost $J = \int_0^\infty (x^TQx + u^TRu)\,dt$ is minimized by $u^* = -Kx$ where $K = R^{-1}B^TP$. The positive-definite matrix $P$ satisfies:

The Algebraic Riccati Equation: $PA + A^TP - PBR^{-1}B^TP + Q = 0$✔️
The Lyapunov equation: $PA + A^TP + Q = 0$
The Sylvester equation: $AP + PA^T = -Q$
The Hamiltonian eigenvalue problem only

Correct Answer Logic:

The steady-state matrix $P$ in LQR is the unique positive-definite solution of the Algebraic Riccati Equation (ARE): $PA + A^TP - PBR^{-1}B^TP + Q = 0$, from which the optimal gain $K = R^{-1}B^TP$ is derived.

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Mathematics QUESTION #1303

Question 5

Green's Theorem relates the line integral around a closed curve $C$ to the double integral over the enclosed region $R$ by:

$\oint_C(P\,dx+Q\,dy)=\iint_R\left(\dfrac{\partial Q}{\partial y}-\dfrac{\partial P}{\partial x}\right)dA$
$\oint_C(P\,dx+Q\,dy)=\iint_R\left(\dfrac{\partial Q}{\partial x}-\dfrac{\partial P}{\partial y}\right)dA$✔️
$\oint_C(P\,dx+Q\,dy)=\iint_R(P+Q)\,dA$
$\oint_C\vec{F}\cdot d\vec{r}=\iint_R|\vec{F}|\,dA$

Correct Answer Logic:

Green's Theorem: $\oint_C(P\,dx+Q\,dy)=\iint_R\left(\dfrac{\partial Q}{\partial x}-\dfrac{\partial P}{\partial y}\right)dA$, where $C$ is traversed counter-clockwise. This converts a 1D line integral into a 2D area integral over the region enclosed by $C$.

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Physics QUESTION #7081

Question 6

A pendulum clock loses $12\text{ s/day}$ at $40^{\circ}\text{C}$ and gains $4\text{ s/day}$ at $20^{\circ}\text{C}$. Find the temperature for correct time and the coefficient of linear expansion $\alpha$.

$60^{\circ}\text{C}$, $\alpha=1.85 \times 10^{-4}/^{\circ}\text{C}$
$30^{\circ}\text{C}$, $\alpha=1.85 \times 10^{-3}/^{\circ}\text{C}$
$55^{\circ}\text{C}$, $\alpha=1.85 \times 10^{-2}/^{\circ}\text{C}$
$25^{\circ}\text{C}$, $\alpha=1.85 \times 10^{-5}/^{\circ}\text{C}$✔️

Correct Answer Logic:

The change in time is given by $\Delta t = \frac{1}{2} \alpha \Delta \theta \times t$.

$12 = \frac{1}{2} \alpha (40 - \theta) \times 86400$
$-4 = \frac{1}{2} \alpha (20 - \theta) \times 86400$
Dividing the equations gives $\theta = 25^{\circ}\text{C}$.
Substituting $\theta$ back gives $\alpha = 1.85 \times 10^{-5}/^{\circ}\text{C}$.

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Education QUESTION #6717

Question 7

In planning a unit, a teacher decides to begin with essential questions that persist throughout instruction. This approach MOST directly supports:

Rote memorization
Inquiry-based learning and conceptual coherence✔️
Standardized test preparation
Teacher-centered instruction

Correct Answer Logic:

Essential questions are open-ended, intellectually engaging, and recur throughout learning. They frame inquiry, connect topics, and guide exploration rather than having single right answers. This approach promotes deeper understanding and sustained investigation.

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Administration QUESTION #2916

Question 8

In the context of administrative reform, "Devolution" specifically refers to:

Transfer of power to local levels✔️
Centralization of authority
Privatization of state assets
Reduction of the workforce

Correct Answer Logic:

Devolution is the statutory delegation of powers from the central government of a sovereign state to govern at a subnational level, such as a local government.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3681

Question 9

'Beeswax' is used in pharmacy for:

Making candles only
Preparing ointments and plasters✔️
Eating
Injecting

Correct Answer Logic:

It provides consistency to semi-solid preparations.

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Physics QUESTION #7090

Question 10

A particle moves in a circular orbit under a central force $F \propto R^{-n}$. If the period is $T$, then:

$T \propto R^{(n+1)/2}$✔️
$T \propto R^{n/2}$
$T \propto R^{3/2}$
$T \propto R^{\frac{n}{2}+1}$

Correct Answer Logic:

Centripetal force $F = \frac{mv^2}{R} \propto \frac{1}{R^n}$.

$v^2 \propto \frac{1}{R^{n-1}} \implies v \propto R^{(1-n)/2}$
$T = \frac{2\pi R}{v} \propto \frac{R}{R^{(1-n)/2}} = R^{1 - (\frac{1-n}{2})} = R^{(n+1)/2}$.

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Psychology QUESTION #9855

Question 11

The most insidious form of defense mechanism is probably:

Reaction-formation✔️
Defensive identification
Projection
Withdrawal

Correct Answer Logic:

Reaction-formation is particularly insidious because it completely replaces an anxiety-provoking impulse with its exact opposite, making the true impulse extremely difficult to detect — a person with unconscious hatred may become excessively loving.

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Math Physics Chemistry Biology QUESTION #7765

Question 12

Which organism is used in the production of Humulin (human insulin)?

Bacteria✔️
Fungi
Protozoa
Virus

Correct Answer Logic:

Recombinant E. coli (bacteria) or yeast are engineered to produce human insulin (Humulin). Bacteria are most common for large-scale production.

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Ability / HR / Governance / Special Education QUESTION #1869

Question 13

If no suitable domicile-holder is found after advertising a vacancy twice, how can it be filled under Rule 14 proviso?

Permanently on open merit
On open merit on contract initially for one year✔️
Left vacant indefinitely
Filled by deputation

Correct Answer Logic:

Rule 14 proviso states the appointing authority may fill the vacancy on open merit on contract, initially for a period of one year.

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Islamic Studies QUESTION #8224

Question 14

To which language does the word Salat belong?

Urdu
Arabic✔️
Persian
Punjabi

Correct Answer Logic:

The word 'Salat' (صلاة) is an Arabic word meaning prayer or connection. It is derived from the root 's-l-w' which means to pray, bless, or connect. In Urdu and Persian, prayer is called 'Namaz,' but the Quranic and Arabic term is 'Salat.' The word appears numerous times in the Quran and refers to the formal ritual prayer that is one of the Five Pillars of Islam.

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Education QUESTION #7562

Question 15

The primary goal of teaching is considered to be:

To give information
To improve pupils in activities
To impart knowledge
Desirable change in behavior✔️

Correct Answer Logic:

The ultimate goal of teaching is to bring about a positive and desirable change in learners' behavior, knowledge, skills, attitudes, or values.

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Dairy Food Science and Technology QUESTION #5907

Question 16

The purpose of the 'holding tube' in an HTST pasteurizer is:

It pre-heats milk before the heat exchanger; time $= V/Q$ using fastest particle velocity
It maintains milk at $\geq 72^{\circ}\text{C}$ for the required minimum time ($\geq 15$ s); minimum length $= 2 \bar{v} \times 15\;\text{s}$, using the fastest particle velocity as the worst case✔️
It holds milk at $4^{\circ}\text{C}$ after cooling to prevent recontamination
It mixes raw and pasteurized milk for energy recovery

Correct Answer Logic:

The holding tube ensures EVERY particle receives the minimum heat treatment ($72^{\circ}\text{C}$ for $\geq 15$ s for HTST). The critical design parameter uses the FASTEST-moving particle ($\approx 2\times$ mean velocity in turbulent flow) as the worst case: minimum length $= 2\bar{v} \times 15\;\text{s}$.

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English QUESTION #8560

Question 17

What does the idiom 'had a cow' mean in: 'When I told my mom I would come home at 1 am, she had a cow'

My mom bought a baby cow
My mom was not happy
My mom was really upset✔️
none of these

Correct Answer Logic:

'Have a cow' means to become very angry or upset.

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Dairy Food Science and Technology QUESTION #5984

Question 18

Aflatoxin $\text{M}_1$ (AFM$_1$) contamination in milk arises from:

Direct addition of aflatoxin to milk by adulterators
Hydroxylation of aflatoxin $\text{B}_1$ (AFB$_1$) ingested by cows in contaminated feed, which is secreted as AFM$_1$ in milk (carryover rate $\approx 0.3\text{–}6\%$ of AFB$_1$ intake)✔️
Post-pasteurization mold growth on milk surface
Contamination from corroded stainless steel equipment

Correct Answer Logic:

AFM$_1$ is the 4-hydroxy metabolite of AFB$_1$ (produced by $Aspergillus\;flavus$ and $A.\;parasiticus$ on contaminated feed — particularly maize and groundnuts). When dairy cows ingest AFB$_1$-contaminated feed, hepatic metabolism produces AFM$_1$ secreted in milk. EU limit $= 0.05\;\mu\text{g/kg}$ milk; US FDA limit $= 0.5\;\mu\text{g/kg}$.

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Accounting & Finance QUESTION #6148

Question 19

Financial data: Profit from operations $59,800; Finance costs $12,000; Profit for year $47,800; Ordinary share capital $700,000; Retained earnings $72,500; 10% Debentures $120,000. What was the ROCE?

5.36%
6.19%
6.70%✔️
7.74%

Correct Answer Logic:

Option C (6.70%) is correct.

Capital Employed = ($700,000 + $72,500) + $120,000 = $892,500

ROCE = $59,800 ÷ $892,500 × 100 = 6.70%

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Security Measures to Maintain Law and Order QUESTION #906

Question 20

A person is found filming "Sensitive Installations." An AD ASF can seize the camera under the authority of:

Section 6
Section 7✔️
Section 9
Section 10

Correct Answer Logic:

Section 7(1) allows the search and seizure of items from persons suspected of jeopardizing the safety of the aerodrome.

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