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Mathematics QUESTION #1268

The graph of $r = 2\cos\theta$ in Cartesian coordinates is:

A parabola
A circle of radius 2 centred at origin
A circle of radius 1 centred at $(1,0)$✔️
A line through the origin

Correct Answer Logic:

Multiply both sides by $r$: $r^2=2r\cos\theta\Rightarrow x^2+y^2=2x\Rightarrow (x-1)^2+y^2=1$. This is a circle of radius $1$ centred at $(1,0)$.

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Pakistan Affairs QUESTION #9061

Question 3482

The province of Pakistan with the longest coastline is:

Sindh
Balochistan✔️
Punjab
Khyber Pakhtunkhwa

Correct Answer Logic:

Balochistan has the longest coastline (about 750 km).

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Math Physics Chemistry Biology QUESTION #7781

Question 3483

The plasma membrane is selectively permeable mainly due to the presence of:

Carbohydrates
Lipids
Proteins✔️
Vitamins

Correct Answer Logic:

Integral membrane proteins (e.g., channels, carriers, pumps) control selective transport. Lipids form the barrier but without proteins, permeability is limited to small nonpolar molecules.

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Boilers Mechanical Engineering QUESTION #4050

Question 3484

'Evaporative Capacity' of a boiler is expressed in:

$kg$ of steam produced per hour✔️
$Degrees$ Celsius
$psi$
$Liters$ of fuel

Correct Answer Logic:

It defines how much steam the boiler can generate under specific conditions.

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The Elections Act 2017 QUESTION #9458

Question 3485

Under Section 139(1), a fundamental limitation on election disputes is that no election shall be called in question except by an election petition filed by a:

Registered voter of the constituency
Candidate for that election✔️
Political party that participated in the election
Any citizen of Pakistan

Correct Answer Logic:

Section 139(1) states: 'No election shall be called in question except by an election petition filed by a candidate for that election' — standing is strictly limited to candidates, not voters or parties generally.

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Chemistry QUESTION #4365

Question 3486

The theories which explain the formation of sigma ($\sigma$) and pi ($\pi$) bonds are EXCEPT:

MOT
VBT
VSEPR
CFT✔️

Correct Answer Logic:

Valence Bond Theory (VBT) explains $\sigma$ and $\pi$ bond formation through orbital overlap. Molecular Orbital Theory (MOT) also describes bonding. VSEPR predicts shape. Crystal Field Theory (CFT) deals with d-orbital splitting in coordination complexes — it does NOT explain $\sigma$ and $\pi$ bond formation.

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Electrical Engineering QUESTION #2175

Question 3487

A single-phase transformer has $N_1 = 500$ turns and $N_2 = 100$ turns. Primary is connected to $230\,\text{V}$ AC. The secondary feeds a $10\,\Omega$ resistive load. Neglecting all losses, the primary current drawn from the source is:

$0.92\,\text{A}$✔️
$4.6\,\text{A}$
$46\,\text{A}$
$0.184\,\text{A}$

Correct Answer Logic:

$V_2 = \frac{N_2}{N_1}V_1 = \frac{100}{500}\times230 = 46\,\text{V}$. $I_2 = V_2/R = 46/10 = 4.6\,\text{A}$. By current transformation: $I_1 = I_2\times\frac{N_2}{N_1} = 4.6\times\frac{100}{500} = 0.92\,\text{A}$.

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Islamic Studies QUESTION #207

Question 3488

Which is the year of the blessed birth of Prophet Muhammad (ﷺ)?

570 or 571 CE✔️
575 or 576 CE
590 or 591 CE
595 or 596 CE

Correct Answer Logic:

The Prophet (ﷺ) was born in the "Year of the Elephant," approx. 570/571 CE.

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English QUESTION #8288

Question 3489

Select the correct idiom meaning 'to work late into the night':

Burn the night oil
I Burn the late night oil
Burn the midnight oil✔️
Burn the oil

Correct Answer Logic:

The idiom is 'burn the midnight oil'.

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Ability / HR / Governance / Special Education QUESTION #5653

Question 3490

A Ministry intends to include a new unapproved development scheme in the PSDP allocation. Under what condition is this permitted and what safeguard is required?

It is never permitted as only approved schemes may be included in PSDP
It may be included in exceptional circumstances only after anticipatory approval by the competent authority has been obtained✔️
It may be included if the Financial Adviser certifies it fits into the overall development plan
It may be included as long as the CDWP is informed within 30 days

Correct Answer Logic:

Allocation in the PSDP for new unapproved development schemes/projects shall be made in exceptional circumstances only after anticipatory approval of such new schemes/projects by the competent authority.

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English QUESTION #2660

Question 3491

Find the word nearly similar in meaning to: 'CANDID'

Dishonest
Frank✔️
Vague
Cruel

Correct Answer Logic:

'Candid' means truthful and straightforward; 'frank' is its closest synonym.

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Physics QUESTION #7018

Question 3492

Two forces $P$ and $Q$ have magnitudes $2F$ and $3F$ respectively, acting at an angle $\theta$ to each other. If the magnitude of force $Q$ is doubled, the resulting force also doubles. What is the value of the angle $\theta$?

$120^\circ$✔️
$60^\circ$
$90^\circ$
$30^\circ$

Correct Answer Logic:

Using the resultant formula $R^2 = A^2 + B^2 + 2AB \cos \theta$. Initially, $R^2 = (2F)^2 + (3F)^2 + 2(2F)(3F)\cos \theta = 13F^2 + 12F^2 \cos \theta$. When $Q$ is doubled ($6F$), the new resultant is $2R$, so $(2R)^2 = (2F)^2 + (6F)^2 + 2(2F)(6F)\cos \theta = 40F^2 + 24F^2 \cos \theta$. Substituting $4R^2$ and solving the equations yields $\cos \theta = -0.5$, which corresponds to $120^\circ$.

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Physics QUESTION #4400

Question 3493

A phase difference of $90°$ is equal to:

$\pi$ radians
$\dfrac{\pi}{2}$ radians✔️
$\pi n$ radians
$\dfrac{\pi}{4}$ radians

Correct Answer Logic:

Converting degrees to radians: $\theta_{rad} = \theta_{deg} \times \dfrac{\pi}{180}$. So $90° = 90 \times \dfrac{\pi}{180} = \dfrac{\pi}{2}$ radians.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3128

Question 3494

Which part of the brain is responsible for coordinating balance and fine motor skills?

Cerebrum
Cerebellum✔️
Medulla Oblongata
Hypothalamus

Correct Answer Logic:

The cerebellum (little brain) manages posture and coordination.

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Security Measures to Maintain Law and Order QUESTION #902

Question 3495

What is the primary law and order objective of "Curbside Management" at an airport?

Revenue collection
Preventing unattended vehicles✔️
Parking facilitation
Passenger comfort

Correct Answer Logic:

From a security perspective, curbside management prevents VBIEDs (Vehicle Borne IEDs) and ensures clear access for emergency responses.

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Pakistan Affairs QUESTION #583

Question 3496

Pakistan Resolution (March 1940) was presented by:

Allama Muhammad Iqbal
Sir Agha Khan
AK Fazlul Haq✔️
None of These

Correct Answer Logic:

The resolution was moved by A.K. Fazlul Huq, the then Chief Minister of Bengal.

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Law QUESTION #9705

Question 3497

Under Article 162, improper admission or rejection of evidence shall NOT be grounds for a new trial or reversal if:

The judge apologizes for the error
There was sufficient evidence independent of the objected evidence to justify the decision, or rejected evidence would not have varied the decision✔️
The party waived its objection
The case involves a minor offence

Correct Answer Logic:

Article 162 states improper admission/rejection shall not ground a new trial or reversal if either (a) there was sufficient independent evidence to justify the decision, or (b) rejected evidence ought not to have varied the decision.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3079

Question 3498

'Homeostasis' is best defined as:

The breakdown of nutrients
The maintenance of a stable internal environment✔️
The process of cell division
The movement of blood through vessels

Correct Answer Logic:

Homeostasis ensures that physiological variables like temperature and pH stay within narrow limits.

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General Knowledge QUESTION #8635

Question 3499

Which language is spoken by the largest number of people in the world as a first language?

Chinese✔️
English
Arabic
French

Correct Answer Logic:

Mandarin Chinese has the most native speakers.

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Statistics QUESTION #1964

Question 3500

Which of the following correctly lists all recognized types of statistical estimates?

Point estimate only
Interval estimate only
Estimation of confidence region only
Point estimate, Interval estimate, and Confidence region✔️

Correct Answer Logic:

Statistical estimation includes point estimates (single value), interval estimates (a range), and confidence regions (multivariate generalizations). All three are valid types of estimates.

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