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Mathematics QUESTION #1299
Question 1
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 \(\arcsin x=\arcsin y-\dfrac{\pi}{3}\).
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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].
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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 \(\dfrac{1 + \tan 11°}{1 - \tan 11°} = \tan(45° + 11°) = \tan 56°\).
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
English QUESTION #8525
Question 12
The synonym of 'Banish' is:
  • Recall
  • Expel✔️
  • Digest
  • Exonerate
Correct Answer Logic:
Banish means to expel or send away.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.
Uploaded by: Fani Warraich
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.

Uploaded by: Fani Warraich