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Mathematics QUESTION #4145

Solve $\frac{dy}{\sqrt{1-y^2}} = \frac{dx}{\sqrt{1-x^2}}$ with $y(0) = \frac{\sqrt{3}}{2}$. What is the solution?

$\sin^{-1}(y) = \sin^{-1}(x) + \frac{\pi}{3}$
$\sin^{-1}(y) = \sin^{-1}(x) + \frac{\pi}{6}$
$y = \sin(\sin^{-1}(x) + \frac{\pi}{3})$
Both (A) and (C)✔️

Correct Answer Logic:

Integrating: $\sin^{-1}(y) = \sin^{-1}(x) + C$. At $x=0$, $y=\frac{\sqrt{3}}{2}$: $\frac{\pi}{3} = 0 + C$, so $C = \frac{\pi}{3}$. Thus $\sin^{-1}(y) = \sin^{-1}(x) + \frac{\pi}{3}$, equivalent to $y = \sin(\sin^{-1}(x) + \frac{\pi}{3})$.

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Urdu QUESTION #1409

Question 2802

دوزخی کس کی سوانحِ عمری ہے؟

عصمت چغتائی✔️
بانو قدسیہ
فاطمہ الطاف
زاہدہ حنا

Correct Answer Logic:

''دوزخی'' عصمت چغتائی کی لکھی ہوئی اپنے شوہر شاہد لطیف کی سوانحِ عمری ہے۔ عصمت چغتائی (1915–1991) اردو افسانہ نگاری کی جرأت مند آواز تھیں۔ انہوں نے خواتین کے مسائل اور معاشرتی ریاکاری کو بے باکی سے پیش کیا۔ ان کے مشہور افسانوں میں ''لحاف'' اور ''ٹیڑھی لکیر'' شامل ہیں۔

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3384

Question 2803

Amino acids are linked together by which type of bond to form proteins?

Ionic bond
Peptide bond✔️
Glycosidic bond
Hydrogen bond

Correct Answer Logic:

A peptide bond forms between the carboxyl group of one amino acid and the amino group of another.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3390

Question 2804

In DNA, 'Adenine' ($A$) always pairs with which nitrogenous base?

Cytosine ($C$)
Guanine ($G$)
Thymine ($T$)✔️
Uracil ($U$)

Correct Answer Logic:

A pairs with T via two hydrogen bonds; G pairs with C via three.

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Physics QUESTION #418

Question 2805

The escape velocity corresponds to __________ energy gained by body

which carries it to an infinite distance from the surface of earth.✔️
Total
Potential
Initial kinetic

Correct Answer Logic:

2

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Accounting & Finance QUESTION #6069

Question 2806

In a standard break-even chart, what does the vertical distance between the total revenue line and the total cost line represent at a level of activity beyond the break-even point?

The break-even revenue
The margin of safety in revenue
The profit at that level of activity✔️
The total contribution

Correct Answer Logic:

In a break-even chart, the gap between Total Revenue and Total Cost represents Profit (if revenue is higher) or Loss (if cost is higher).

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Mathematics QUESTION #965

Question 2807

Let a line pass through two distinct points $P(-2,-1,3)$ and $Q$, and be parallel to the vector $3\hat{i}+2\hat{j}+2\hat{k}$. If the distance of the point $Q$ from the point $R(1,3,3)$ is 5, then the square of the area of $\triangle PQR$ is equal to:

148
136
144
140✔️

Correct Answer Logic:

The line through $P$ parallel to $\vec{v}=3\hat{i}+2\hat{j}+2\hat{k}$ gives $Q = P + t\vec{v}$. Using $|QR|=5$ to find $t$, then computing $\text{Area}^2 = \frac{1}{2}|\vec{PQ}\times\vec{PR}|^2$ yields 140.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3035

Question 2808

'Dusting Powders' are intended for:

Internal use
External application to the skin✔️
Sterile injection
Inhalation

Correct Answer Logic:

Dusting powders are fine medicinal powders used externally on the skin.

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Biology QUESTION #551

Question 2809

_____ did not have the adaptations to remove the flooding of their cells in fresh water.

Both B, D
Hydrophytes✔️
None of B, D
Xerophytes

Correct Answer Logic:

Hydrophytes are adapted to prevent flooding

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Chemistry QUESTION #460

Question 2810

__________ is colorless volatile liquid at room temperature.

HCl
HF✔️
HI
HBr

Correct Answer Logic:

HF is colorless volatile liquid at room temperature

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Planning QUESTION #4946

Question 2811

Which planning legislation was a landmark in UK planning history?

Town Planning Act 1909✔️
Building Act 1850
Highway Act 1900
Housing Act 1920

Correct Answer Logic:

The Town Planning Act 1909 was the first UK legislation enabling local authorities to prepare town planning schemes, establishing the foundation for modern statutory planning.

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Civil / Architecture QUESTION #2368

Question 2812

In the context of Building Management Systems (BMS) for integrated building design, SCADA refers to:

Structural Control and Design Automation — a software for automated RC design
Supervisory Control and Data Acquisition — a system for real-time monitoring and control of building services (HVAC, electrical, fire, security)✔️
Sustainable Construction and Design Assessment — a green building rating tool
System for Computer-Aided Drafting and Architecture — a CAD platform for BIM

Correct Answer Logic:

SCADA (Supervisory Control and Data Acquisition) is a control system architecture used in BMS that enables real-time monitoring, data acquisition, and supervisory control of building systems including HVAC, lighting, electrical distribution, fire suppression, and security. It typically consists of field devices (sensors, actuators), PLCs/RTUs, a communication network, and an HMI (Human-Machine Interface) for operators.

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Education QUESTION #1483

Question 2813

Aristotle is the originator of which educational philosophy, which holds that reality exists independent of the human mind?

Idealism
Pragmatism
Realism✔️
Reconstructionism

Correct Answer Logic:

Realism holds that the world of physical objects is the ultimate reality and that reality exists independent of the human mind. Its originator is Aristotle.

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Logical Reasoning QUESTION #3959

Question 2814

Select the pair with a similar relationship: OBSTRUCTION : BUOY

construction : building✔️
boy : girl
danger : red light
iceberg : titanic

Correct Answer Logic:

2

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General Abilities QUESTION #7985

Question 2815

How many numbers up to 100 are divisible by 7?

14✔️
107
93
100

Correct Answer Logic:

Numbers divisible by 7 up to 100: $\lfloor \dfrac{100}{7} \rfloor = 14$

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3216

Question 2816

'Ovulation' is triggered by a sudden surge in which hormone?

Estrogen
Progesterone
Luteinizing Hormone (LH)✔️
Follicle Stimulating Hormone (FSH)

Correct Answer Logic:

The LH surge on day 14 of the cycle causes the release of the egg.

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Agronomy QUESTION #2045

Question 2817

The 'critical concentration' of a nutrient in plant tissue is defined as:

The concentration above which toxicity symptoms appear
The tissue concentration below which yield is reduced by 10% relative to maximum yield, used to diagnose deficiency and calibrate fertilizer recommendations✔️
The minimum concentration detectable by laboratory analysis
The concentration at which a nutrient first becomes visible in a spectroscopic analysis

Correct Answer Logic:

Critical concentration (or critical level) is the tissue nutrient concentration below which a 10% yield reduction occurs (some definitions use 5%). It is determined through nutrient response experiments and tissue analysis. It forms the basis for plant tissue testing diagnostic programs and fertilizer recommendations in modern agronomy.

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Planning QUESTION #4995

Question 2818

Which Act is considered foundational for modern UK planning legislation?

Town and Country Planning Act 1947✔️
Housing Act 1930
Public Health Act 1875
Building Act 1909

Correct Answer Logic:

The Town and Country Planning Act 1947 revolutionized UK planning by nationalizing development rights, introducing development control requiring planning permission, creating comprehensive development plans, and establishing the framework for modern statutory planning systems.

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Biology QUESTION #7288

Question 2819

The common nitrogen-fixer in paddy fields is:

Frankia
Rhizobium
Azospirillum
Oscillatoria✔️

Correct Answer Logic:

Oscillatoria is a filamentous cyanobacterium that fixes atmospheric nitrogen in paddy (rice) fields and is widely used as a biofertiliser. Other cyanobacteria like Anabaena and Nostoc also fix nitrogen in paddy fields. Rhizobium is specific to legumes; Frankia to non-leguminous trees; Azospirillum is a free-living aerobic fixer associated with grasses.

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2555

Question 2820

Under section 16(1) of the Punjab Sales Tax on Services Act, 2012, a registered person entitled to claim input tax adjustment must hold a valid tax invoice not older than how many tax periods?

Three tax periods
Six tax periods✔️
Eight tax periods
Twelve tax periods

Correct Answer Logic:

Section 16(1) explicitly states that the registered person must hold a true and valid tax invoice not older than six tax periods showing the amount of tax charged under the Act on the services received.

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