Reading Mode - Questions

Mathematics QUESTION #967

If $\displaystyle\int e^x\!\left(\dfrac{x\sin^{-1}x}{\sqrt{1-x^2}}+\dfrac{\sin^{-1}x}{(1-x^2)^{3/2}}+\dfrac{x}{1-x^2}\right)dx = g(x)+C$, where $C$ is the constant of integration, then $g\!\left(\dfrac{1}{2}\right)$ equals:

$\dfrac{\pi}{4}\sqrt{e^3}$
$\dfrac{\pi}{6}\sqrt{e^3}$✔️
$\dfrac{\pi}{4}\sqrt{e^2}$
$\dfrac{\pi}{6}\sqrt{e^2}$

Correct Answer Logic:

The integrand can be written as $\frac{d}{dx}\!\left[e^x \cdot \frac{x\sin^{-1}x}{\sqrt{1-x^2}}\right]$. So $g(x)=e^x\cdot\frac{x\sin^{-1}x}{\sqrt{1-x^2}}$. At $x=\frac{1}{2}$: $g\!\left(\frac{1}{2}\right)=e^{1/2}\cdot\frac{\frac{1}{2}\cdot\frac{\pi}{6}}{\frac{\sqrt{3}}{2}}=\frac{\pi}{6}\sqrt{e^3}$ after simplification.

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Others section QUESTION #4716

Question 2902

The UN Millennium Development Goals program encompassed which of the following objectives?

Eradicate extreme poverty and hunger only
Achieve Universal Primary Education only
Promote gender equality and empower women only
All of these objectives combined✔️

Correct Answer Logic:

The UN MDGs (2000–2015) comprised 8 goals including eradicating poverty, achieving universal education, promoting gender equality, reducing child mortality, improving maternal health, combating diseases, ensuring sustainability, and developing global partnerships.

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Biology QUESTION #566

Question 2903

The two strands in DNA are coiled __________ to each other.

Parallel
Antiparallel✔️
Both A, B
None of these

Correct Answer Logic:

DNA strands run antiparallel

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3025

Question 2904

'Pessaries' are suppositories specifically designed for the:

Urethra
Vagina✔️
Nose
Ear

Correct Answer Logic:

Pessaries are large, often globular or oviform suppositories used for vaginal administration.

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Mechanical Engineering QUESTION #2548

Question 2905

The principal axes of a cross-section are axes about which:

The moment of inertia is maximum only
The product of inertia is zero AND the moments of inertia are extreme (max/min)✔️
The polar moment of inertia is minimum
All second moments are equal

Correct Answer Logic:

Principal axes are defined by two conditions: (1) $I_{xy}=0$ (product of inertia vanishes), and (2) the second moments $I_x$ and $I_y$ attain their absolute maximum and minimum values, called principal moments of inertia.

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Urdu QUESTION #5078

Question 2906

دیومالائی، سحری اور مذہبی کا وہ علم جس نے حالِ انسان کے علاوہ جدید ادب اور نفسیات پر گہرے نقوش مرتب کیے کیا کہلاتا ہے؟

اساطیر✔️
بلاغت
انسانیت
امایت

Correct Answer Logic:

اساطیر وہ علم ہے جس میں دیومالائی کہانیوں، مذہبی اور سحری روایات کا مطالعہ کیا جاتا ہے۔

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Basic Mathematics QUESTION #4558

Question 2907

What is $\frac{7}{10}$ as a percentage?

$7\%$
$0.7\%$
$70\%$✔️
$710\%$

Correct Answer Logic:

$\frac{7}{10} = 0.7 = 70\%$

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General Knowledge QUESTION #273

Question 2908

The Boao Forum for Asia was founded in:

2001✔️
2002
2003
None of these

Correct Answer Logic:

It was established in 2001 as a non-profit organization.

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Security Measures to Maintain Law and Order QUESTION #882

Question 2909

Under Section 6(1)(f), which specific measure is mandated for maintaining order regarding "Fire Hazards"?

Routine fire drills
Ensuring no smoking in terminals
Adopting safety measures and fire-fighting✔️
Only inspecting extinguishers

Correct Answer Logic:

The Act specifically mandates the adoption of safety measures and the prevention/extinguishing of fires to maintain order.

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Urdu QUESTION #5051

Question 2910

انکار کی شاعرہ کون ہیں؟

نوشی گیلانی✔️
پروین شاکر
ادا جعفری
ریحانہ قمر

Correct Answer Logic:

نوشی گیلانی اردو کی مشہور شاعرہ ہیں جن کا مجموعہ 'انکار' خاصا مقبول ہوا۔

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Chemistry QUESTION #474

Question 2911

100 m? of a gas at 3 atm pressure and 27?C is transferred to a chamber of 300 m? volume maintained at a temperature of 327?C. What will be the pressure in chamber?

6 atm
4 atm
2 atm✔️
1 atm

Correct Answer Logic:

Using ideal gas law: P?V?/T? = P?V?/T?

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Urdu QUESTION #5302

Question 2912

اردو کا پہلا ڈرامہ کون سا ہے؟

انارکلی
اندر سبھا✔️
وارث
ان میں سے کوئی نہیں

Correct Answer Logic:

اردو کا پہلا ڈرامہ 'اندر سبھا' ہے جو آغا حسن امانت نے لکھا تھا۔

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English QUESTION #4420

Question 2913

Identify the sentence among the following which is punctuated correctly:

The teaching staff asked the principal what time the meeting would start.
The teaching staff asked the principal: 'What time would the meeting start'?
The teaching staff asked the principal, 'What time would the meeting start?'✔️
The teaching staff asked the principal; 'What time would the meeting start?'

Correct Answer Logic:

When reporting direct speech, a comma separates the reporting clause from the quotation, the quoted speech begins with a capital letter, and the question mark goes inside the quotation marks. Option C follows all these rules correctly.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3561

Question 2914

Which drug is used to treat 'Amoebic Dysentery'?

Ipecac✔️
Senna
Aloe
Ginger

Correct Answer Logic:

Emetine from Ipecac is effective against amoebae.

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Library Sciences QUESTION #1533

Question 2915

Which of the following best describes a 'national bibliography'?

A bibliography of works about a specific nation's history
A systematic and comprehensive record of works published within a particular country or in its national language✔️
A list of government-funded research projects
A catalogue of a single national library's holdings

Correct Answer Logic:

A national bibliography is a systematic, comprehensive record of all works published within a particular country (or in a country's language), serving as the official bibliographic record of a nation's published output — distinct from a library catalogue, which records only that library's holdings.

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Library Sciences QUESTION #1567

Question 2916

In IT-based library management, an 'OPAC' (Online Public Access Catalogue) represents an advancement over the traditional card catalogue primarily because it:

Displays books in their physical shelf order only
Allows users to search the collection by multiple access points simultaneously and view real-time availability✔️
Is maintained exclusively by the library director
Only works within the library building on dedicated terminals

Correct Answer Logic:

The OPAC replaced card catalogues by enabling multi-point simultaneous searching (by author, title, subject, keyword, ISBN, etc.) and displaying real-time item availability — functions impossible with static, single-entry card catalogues. Modern OPACs are also accessible remotely via the internet.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3145

Question 2917

The inner lining of the uterus that is shed during menstruation is the:

Myometrium
Perimetrium
Endometrium✔️
Epimetrium

Correct Answer Logic:

The endometrium thickens each month in preparation for pregnancy.

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City and Regional Planning QUESTION #4966

Question 2918

Which urban planning concept emphasizes 15-minute accessibility to daily needs?

Garden City
15-Minute City✔️
Radburn Layout
Satellite Town

Correct Answer Logic:

The 15-Minute City concept, popularized by Carlos Moreno, aims to create neighborhoods where residents can access daily needs (work, shopping, education, healthcare) within a 15-minute walk or bike ride.

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