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Mathematics QUESTION #1299

The solution of \(\sqrt{1-y^2}\,dx-\sqrt{1-x^2}\,dy=0\) with \(y(0)=\dfrac{\sqrt{3}}{2}\) is:

\(\arcsin x - \arcsin y = \dfrac{\pi}{3}\)
\(\arcsin x = \arcsin y - \dfrac{\pi}{3}\)✔️
\(x + y = \sqrt{3}\)
\(\arcsin x + \arcsin y = \pi\)

Correct Answer Logic:

Integrating: \(\arcsin x = \arcsin y + C\). At \(x=0\), \(y=\dfrac{\sqrt{3}}{2}\): \(0=\arcsin\dfrac{\sqrt{3}}{2}+C=\dfrac{\pi}{3}+C\Rightarrow C=-\dfrac{\pi}{3}\). So \(\arcsin x=\arcsin y-\dfrac{\pi}{3}\).

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Pakistan Affairs QUESTION #4677

Question 2

The AFPAK policy was announced by the Obama administration in which year?

2008
2009✔️
2007
2010

Correct Answer Logic:

The AFPAK (Afghanistan-Pakistan) policy was announced by President Barack Obama in March 2009. It combined the US strategies for Afghanistan and Pakistan into a single regional policy framework.

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Pakistan Affairs QUESTION #9108

Question 3

Who is known for presenting the 'poor man's budget' in Pakistan?

Raja Ahmed
Liaquat Ali Khan
Ch. Muhammad Ali✔️
None of above

Correct Answer Logic:

Chaudhry Muhammad Ali presented a budget focusing on the poor.

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Ability / HR / Governance / Special Education QUESTION #1866

Question 4

Under Rule 13, who can approve relaxation of the citizenship requirement for appointment?

Prime Minister
Ministry concerned
Establishment Division✔️
FPSC

Correct Answer Logic:

Rule 13 proviso states the citizenship requirement may be relaxed with the approval of the Establishment Division.

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Academic/Professional (Social Sciences) QUESTION #6508

Question 5

What is 'Satiety' in the context of research data?

When the researcher is tired
When no new information is being obtained from additional data collection✔️
When the sample size is small
When the hypothesis is proven wrong

Correct Answer Logic:

Data saturation is the point in qualitative research where no new insights are observed.

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Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences) QUESTION #5802

Question 6

A drug whose expiry date is not expired but is sold after that date is:

Spurious
Adulterated
Substandard
Prohibited✔️

Correct Answer Logic:

Selling a drug after its expiry date is a prohibited act[cite: 7].

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General Knowledge QUESTION #4738

Question 7

The 2004 Summer Olympics were held in which city?

Athens✔️
Sydney
California
Beijing

Correct Answer Logic:

The 2004 Summer Olympics were held in Athens, Greece — the birthplace of the ancient Olympic Games — from August 13 to 29, 2004.

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Physics and Math QUESTION #767

Question 8

\(\dfrac{\cos 11° + \sin 11°}{\cos 11° - \sin 11°} = ?\)

\(\tan 56°\)✔️
\(\sin 56°\)
\(\cos 56°\)
None

Correct Answer Logic:

Dividing numerator and denominator by \(\cos 11°\) gives \(\dfrac{1 + \tan 11°}{1 - \tan 11°} = \tan(45° + 11°) = \tan 56°\).

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Islamic Studies QUESTION #657

Question 9

The Muslim rule in Spain ended in:

1492 CE✔️
1258 CE
1099 CE
None of these

Correct Answer Logic:

The fall of Granada in 1492 marked the end of Muslim rule in the Iberian Peninsula.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3584

Question 10

In which classification are drugs arranged according to their therapeutic uses?

Alphabetical
Morphological
Pharmacological✔️
Chemical

Correct Answer Logic:

Pharmacological classification groups drugs by their effects on the body (e.g., purgatives, cardiotonics).

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Pakistan Affairs QUESTION #9083

Question 11

In the total area of Pakistan, what is the approximate share of Punjab province?

\(20\%\)
\(25\%\)✔️
\(35\%\)
\(42\%\)

Correct Answer Logic:

Punjab covers about 25% of Pakistan's total area.

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English QUESTION #8525

Question 12

The synonym of 'Banish' is:

Recall
Expel✔️
Digest
Exonerate

Correct Answer Logic:

Banish means to expel or send away.

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Pakistan Affairs QUESTION #9095

Question 13

In which region of Pakistan is Islamabad situated?

Punjab
Azad Kashmir
NWFP (now Khyber Pakhtunkhwa)
None of these✔️

Correct Answer Logic:

Islamabad is a separate federal territory, not part of any province.

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General Knowledge QUESTION #8698

Question 14

What is 'Tilla Jogian' famous for?

A peak in the Sulaiman Range
Mention in the epic Heer Ranjha by Waris Shah
Place where Buddha spent 40 days in seclusion
All of these✔️

Correct Answer Logic:

Tilla Jogian has all these associations.

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English QUESTION #8319

Question 15

I went to the shop _______ some chocolate.

For buying
For buy
To buy✔️
Buy

Correct Answer Logic:

Infinitive 'to buy' expresses purpose.

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Boilers Mechanical Engineering QUESTION #2522

Question 16

For a rigid body in general planar motion, the angular momentum principle about the center of mass G gives:

\(\sum M_G = I_G\,\alpha\)✔️
\(\sum M_G = I_G\,\omega^2\)
\(\sum M_G = m\,a_G\)
\(\sum M_G = I_G\,\omega + m v_G r\)

Correct Answer Logic:

For a rigid body, the rotational equation about the center of mass G is \(\sum M_G = I_G\,\alpha\), where \(I_G\) is the mass moment of inertia about G and \(\alpha=\dot{\omega}\) is the angular acceleration.

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Urdu QUESTION #5058

Question 17

اس شعر میں علمِ بیان کی کون سی صورت آئی ہے؟ وہ صبح اور وہ چھاؤں ستاروں کی...

تشبیہ✔️
استعارہ
مجازِ مرسل
کنایہ

Correct Answer Logic:

اس شعر میں تشبیہ استعمال ہوئی ہے جہاں کسی چیز کو کسی دوسری سے تشبیہ دی گئی ہے۔

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Islamic Studies QUESTION #7923

Question 18

How many Ayat-e-Sejada are in the Holy Quran?

14✔️
16
12 to 7
7

Correct Answer Logic:

There are 14 verses of prostration (Ayat al-Sajdah) in the Holy Quran. When these verses are recited or heard, it is obligatory or recommended to perform a prostration (Sajdah Tilawah). These verses are found in Surahs: Al-A'raf, Ar-Ra'd, An-Nahl, Al-Isra, Maryam, Al-Hajj (2 places), Al-Furqan, An-Naml, As-Sajdah, Fussilat, An-Najm, Al-Inshiqaq, and Al-Alaq.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3389

Question 19

The backbone of a DNA molecule is made of:

Nitrogenous bases and sugar
Phosphate groups and sugar (Deoxyribose)✔️
Amino acids
Lipids

Correct Answer Logic:

Alternating phosphate and sugar groups form the structural frame.

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HR and Management QUESTION #6443

Question 20

In anti-defection strategies against brain drain, Compaq Computer's policy involves:

Higher base salaries for all employees
Revoking bonuses and benefits to executives who take other employees when they quit✔️
Non-compete agreements lasting 5 years
Stock options vesting over 10 years

Correct Answer Logic:

To combat brain drain, Compaq introduced a policy that revokes bonuses and other benefits to key executives if they take other employees with them when they quit. This prevents key personnel from causing further damage by recruiting talent when leaving.

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