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Physics and Math QUESTION #775

Question 4661

If eccentricity $e > 1$, then the figure is:

Ellipse
Parabola
Circle
Hyperbola✔️

Correct Answer Logic:

For conic sections: $e = 0$ circle, $0 < e < 1$ ellipse, $e = 1$ parabola, $e > 1$ hyperbola.

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Mathematics QUESTION #1263

Question 4662

Using the epsilon-delta definition, $\lim_{x\to 2}\dfrac{x^3-4}{x^2+1}$ equals:

$\dfrac{2}{5}$
$\dfrac{4}{5}$✔️
$\dfrac{8}{5}$
$1$

Correct Answer Logic:

Direct substitution: $\dfrac{(2)^3-4}{(2)^2+1}=\dfrac{8-4}{4+1}=\dfrac{4}{5}$. The function is continuous at $x=2$, so the limit equals the function value.

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Security Measures to Maintain Law and Order QUESTION #910

Question 4663

The "Permit System" for airport employees is a measure to maintain:

Financial records
Internal Law & Order✔️
Speed of work
Staff attendance

Correct Answer Logic:

By controlling who goes where (Access Control), the permit system prevents unauthorized internal interference.

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Professional QUESTION #1825

Question 4664

Section 6(3) of the Civil Servants Act 1973 deals with failure to pass a prescribed examination or training during probation. If a civil servant appointed by PROMOTION fails to pass the required examination before the expiry of probation, what is the prescribed consequence?

He shall be discharged from service
He shall be reverted to the post from which he was promoted and against which he holds a lien, or discharged if no such post exists✔️
He shall be given an automatic extension of probation period
He shall be referred to the Federal Public Service Commission for re-evaluation

Correct Answer Logic:

Section 6(3)(b) provides that if a civil servant appointed by promotion or transfer fails to pass the prescribed examination or training during probation, he shall be reverted to the service or post from which he was promoted or transferred and against which he holds a lien, or if no such post exists, be discharged. Discharge is only for initial appointees under clause (a).

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General Ability and Fire Fighting QUESTION #5618

Question 4665

Which of the following is NOT one of the four elements of the Fire Tetrahedron?

Fuel
Heat
Pressure✔️
Oxygen

Correct Answer Logic:

Pressure is not an element of the Fire Tetrahedron. The four elements are Fuel

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Mechanical Engineering QUESTION #2379

Question 4666

The transfer function of a PID (Proportional-Integral-Derivative) controller is:

$Y(s) = K + K_I s + K_D s^2$
$Y(s) = K + \frac{K_I}{s} + K_D s$✔️
$Y(s) = \frac{K_I}{s} + K_D s$
$Y(s) = K \cdot K_I \cdot K_D \cdot s$

Correct Answer Logic:

The PID controller combines all three actions: $Y(s)=K+\frac{K_I}{s}+K_D s$. P provides immediate response, I eliminates steady-state error, D adds damping and predictive action.

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Physics and Math QUESTION #736

Question 4667

Bernoulli equation is according to ___ law.

Stoke's law
Einstein's equation
Newton's law✔️
None

Correct Answer Logic:

Bernoulli's equation is derived from the conservation of energy and is consistent with Newton's laws of motion applied to fluid flow.

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Dairy Food Science and Technology QUESTION #5937

Question 4668

In cheese making, the role of $\text{CaCl}_2$ added to pasteurized milk is to:

Provide flavor to the cheese
Restore ionic calcium ($\text{Ca}^{2+}$) levels reduced during pasteurization, improving gel firmness and reducing coagulation time✔️
Act as a preservative against spoilage bacteria
Lower the $\text{pH}$ to the isoelectric point of casein

Correct Answer Logic:

Pasteurization shifts calcium from ionic ($\text{Ca}^{2+}$) to colloidal/casein-bound forms, reducing ionic calcium concentration. This impairs rennet gel formation. $\text{CaCl}_2$ addition ($0.01\text{–}0.02\%$ w/v) restores $\text{Ca}^{2+}$ levels, improving gel firmness and cutting properties.

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Administration QUESTION #2933

Question 4669

Within the "Six Sigma" methodology, what is the primary objective of the "Improve" phase?

Identifying the root causes of existing defects
Implementing and verifying solutions to address problems✔️
Establishing baseline performance metrics
None of these

Correct Answer Logic:

In the DMAIC process, the 'Improve' phase is dedicated to developing, testing, and implementing solutions to eliminate the root causes of defects.

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Pakistan Affairs QUESTION #296

Question 4670

What marked Benazir Bhutto's tenure as Prime Minister from 1988 to 1990?

Economic growth
The first time a woman led a Muslim-majority country✔️
Political harmony
Constitutional development

Correct Answer Logic:

She made history as the first female Prime Minister in the Muslim world.+1

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Architecture QUESTION #2339

Question 4671

For a pre-tensioned prestressed concrete beam, the prestress loss due to elastic shortening $\Delta f_{pES}$ where $n = E_p / E_c$ and $f_{cgp}$ is the concrete stress at the centroid of prestressing steel at transfer is:

$\Delta f_{pES} = \dfrac{E_c}{E_p} \cdot f_{cgp}$
$\Delta f_{pES} = n \cdot f_{cgp}$✔️
$\Delta f_{pES} = \dfrac{f_{cgp}}{n}$
$\Delta f_{pES} = \dfrac{n \cdot f_{cgp}}{2}$

Correct Answer Logic:

Elastic shortening loss: $\Delta f_{pES} = n \cdot f_{cgp}$ where $n = \dfrac{E_p}{E_c}$. At transfer, the concrete compresses elastically by strain $\varepsilon_c = f_{cgp}/E_c$. The bonded prestressing steel undergoes the same strain, losing stress $\Delta f_{pES} = E_p \cdot \varepsilon_c = \dfrac{E_p}{E_c} \cdot f_{cgp} = n \cdot f_{cgp}$.

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Mechanical Engineering QUESTION #2380

Question 4672

For a closed-loop (negative feedback) control system with forward path transfer function $Y_1(s)$ and feedback path $Y_2(s)$, the closed-loop transfer function is:

$Y(s) = Y_1(s) \cdot Y_2(s)$
$Y(s) = \frac{Y_1(s)}{1 + Y_1(s) \cdot Y_2(s)}$✔️
$Y(s) = \frac{Y_1(s)}{1 - Y_1(s) \cdot Y_2(s)}$
$Y(s) = \frac{1}{1 + Y_1(s)}$

Correct Answer Logic:

The closed-loop (negative feedback) transfer function: $Y(s)=\frac{Y_1(s)}{1+Y_1(s)Y_2(s)}$. For unity feedback ($Y_2=1$): $Y(s)=\frac{Y_1(s)}{1+Y_1(s)}$. This is the fundamental closed-loop formula.

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Security Measures to Maintain Law and Order QUESTION #942

Question 4673

How does 'Patrolling' contribute to law and order?

It allows guards to exercise
It serves as a visible deterrent✔️
It helps in finding lost items
It replaces CCTV

Correct Answer Logic:

Visible patrols discourage criminal activity and provide a rapid response capability across the aerodrome.

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MCQs Section QUESTION #4862

Question 4674

Choose the correct synonym of "SUCCULENT"

Edible✔️
Parched
Generous
Mature

Correct Answer Logic:

Succulent means tender, juicy, and tasty. In the context of food, edible is the closest available option, though succulent more specifically refers to something juicy and appetizing.

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Chemistry QUESTION #5566

Question 4675

$[3Ca_3(PO_4)_2 \cdot CaF_2]$✔️
$[3\{Ca(OH)_2\} \cdot CaF_2]$
$[CaF_2]$
$[3(CaF_2) \cdot Ca(OH)_2]$

Correct Answer Logic:

Fluoride ions replace the hydroxide ions in hydroxyapatite: $3Ca_3(PO_4)_2 \cdot Ca(OH)_2 + 2F^- \to 3Ca_3(PO_4)_2 \cdot CaF_2 + 2OH^-$. The product, fluoroapatite $[3Ca_3(PO_4)_2 \cdot CaF_2]$, is harder and more resistant to acid attack than hydroxyapatite, thus protecting teeth from decay.

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Professional QUESTION #1851

Question 4676

Who is the appointing authority for posts in BPS 20 and above?

Chairman FPSC
Federal Minister
Prime Minister✔️
President

Correct Answer Logic:

Rule 6(1) Table entry (1) specifies the Prime Minister as appointing authority for posts in BPS 20 and above. (Note: posts in President's Secretariat are appointed by the President.)

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Boilers Mechanical Engineering QUESTION #3996

Question 4677

Under the Ordinance, who is responsible for reporting an 'Accident' involving a boiler?

The local police
The owner or person in charge of the boiler✔️
The insurance company
The neighboring factory

Correct Answer Logic:

The owner must report accidents within 24 hours to the Chief Inspector.

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General Knowledge QUESTION #4651

Question 4678

Child dentist visits increased from once a year (1970) to three times a year (Today). Which explains this trend EXCEPT:

Better home care has reduced cavities✔️
Dentist fees have declined
Parents are more aware of dental care
Dental care has become less painful

Correct Answer Logic:

2

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Basic Mathematics QUESTION #4608

Question 4679

If $2x + 3 = 11$, what is $x + 1$?

$4$
$5$✔️
$8$
$3$

Correct Answer Logic:

$2x + 3 = 11 \Rightarrow 2x = 8 \Rightarrow x = 4$. Then $x + 1 = 5$

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City and Regional Planning QUESTION #4973

Question 4680

What does L'Enfant's plan for Washington D.C. exemplify in urban planning history?

Garden City movement
Baroque planning principles✔️
Modernist planning
Radburn layout

Correct Answer Logic:

Pierre Charles L'Enfant's 1791 plan for Washington D.C. exemplifies Baroque planning with grand diagonal avenues radiating from central points, monumental vistas, symmetrical arrangements, and formal geometric patterns influenced by Versailles.

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