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Mathematics
QUESTION #4128
Question 1
For $\oint_{|z|=2} \frac{5z - 2}{z(z-1)} \, dz$, what is the value?
Correct Answer Logic:
Residue at $z=0$: $\lim_{z \to 0} z \cdot \frac{5z-2}{z(z-1)} = \frac{-2}{-1} = 2$. Residue at $z=1$: $\lim_{z \to 1} (z-1) \cdot \frac{5z-2}{z(z-1)} = \frac{3}{1} = 3$. Sum of residues $= 5$. Integral $= 2\pi i \times 5 = 10\pi i$.
Uploaded by: Fani Warraich
Mathematics
QUESTION #4163
Question 2
For the system $3x_1 + 4x_2 - x_3 = 8$, $5x_1 + 3x_2 + 2x_3 = 17$, $-x_1 + x_2 - 3x_3 = -8$, what is the first iteration value of $x_1$ in Gauss-Seidel method starting with $(0,0,0)$?
Correct Answer Logic:
From first equation: $x_1 = \frac{8 - 4x_2 + x_3}{3}$. With $x_2 = x_3 = 0$: $x_1 = \frac{8}{3} \approx 2.667$.
Uploaded by: Fani Warraich
Correct Answer Logic:
The proviso to Section 22(2) explicitly bars representations on matters relating to the determination of fitness of a person to hold a particular post or to be promoted to a higher post or grade. Fitness determinations are matters of discretion reserved for the competent authority and are not subject to representational challenge.
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General Knowledge
QUESTION #4804
Question 4
Which country permanently abolished its military forces by constitutional provision?
Correct Answer Logic:
Costa Rica permanently abolished its military in 1948 under President José Figueres Ferrer. Article 12 of the Costa Rican Constitution prohibits the army as a permanent institution.
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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy))
QUESTION #5699
Question 5
Which type of glass is recommended for parenteral products that are highly sensitive to pH changes?
Correct Answer Logic:
Type I glass is highly resistant to chemical attack and leaching, making it ideal for sensitive pH products.
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MCQs Section
QUESTION #5083
Question 6
Pros and Cons کے درست مطلب کا انتخاب کیجیے۔
Correct Answer Logic:
Pros and Cons انگریزی محاورہ ہے جس کے معنی ہیں حق میں اور خلاف میں دلائل یعنی مثبت و منفی پہلو۔
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Mathematics
QUESTION #7432
Question 7
Two poles standing on horizontal ground are of heights 5 m and 10 m respectively. The line joining their tops makes an angle of 15° with the ground. Then the distance (in m) between the poles is:
Correct Answer Logic:
Let the distance between poles be \(d\). The height difference is \(10-5=5\) m. Using trigonometry: \(\tan(15°) = \frac{5}{d}\). We know \(\tan(15°) = 2-\sqrt{3}\) (from \(\tan(45°-30°)\) formula). Therefore, \(d = \frac{5}{2-\sqrt{3}} = \frac{5(2+\sqrt{3})}{(2-\sqrt{3})(2+\sqrt{3})} = \frac{5(2+\sqrt{3})}{4-3} = 5(2+\sqrt{3})\).
Uploaded by: Fani Warraich
Paper-II (Pharmacognosy and Pharmaceutics-I)
QUESTION #2994
Question 8
The primary difference between a Syrup and an Elixir is:
Correct Answer Logic:
Elixirs contain alcohol for solubility and are typically less viscous than sucrose-heavy syrups.
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Professional
QUESTION #1832
Question 9
Section 10 of the Civil Servants Act 1973 governs posting and transfer. Where a civil servant is required to serve in a post OUTSIDE his service or cadre, what protection is guaranteed regarding his pay?
Correct Answer Logic:
The second proviso to Section 10 protects the financial interests of a civil servant posted outside his service or cadre by ensuring his terms and conditions as to pay shall not be less favourable than those to which he would have been entitled had he not been required to serve outside his cadre.
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Psychology
QUESTION #9801
Question 10
The belief that we are born with the perceptual abilities we use to interpret the world is held by:
Correct Answer Logic:
Nativists (Kant, Chomsky, Gestalt psychologists) argue many perceptual and cognitive capacities are innate. This contrasts with empiricists (Locke, Berkeley) who argue all knowledge comes from experience.
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The Constitution of Pakistan
QUESTION #9360
Question 11
A person appointed as an ad-hoc judge to the Supreme Court under Article 182 ceases to be such judge when the period determined by whom expires?
Correct Answer Logic:
Article 182 provides that the Chief Justice may request or require a qualified person to attend sittings as an ad-hoc judge 'for such period as may be necessary.' The invitation and the period are determined by the Chief Justice (in consultation with the Judicial Commission as per the 19th Amendment). The Chief Justice's written request defines the duration.
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Tourism & Hospitality Management
QUESTION #1649
Question 12
The Emerging Trends in Tourism & Hospitality course covers 'forecasting the future of tourism.' Which of the following forecasting scenarios is specifically addressed in the curriculum?
Correct Answer Logic:
Module 4 of the Emerging Trends course — 'Forecasting the Future of Tourism and Hospitality' — specifically covers: Key Themes for 2020, Drivers of Change over the Next Decade, The World in 2030, Technology and Tomorrow's Customer, Travel in 2015 market expectations, and Building a Future-Ready Organization — providing a structured forward-looking framework for the industry.
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Paper-II (Pharmacognosy and Pharmaceutics-I)
QUESTION #3581
Question 13
'Crude Drugs' are defined as:
Correct Answer Logic:
Crude drugs are natural products used as medicine in their raw or minimally processed state.
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Security Measures to Maintain Law and Order
QUESTION #892
Question 14
Which international body conducts "USAP" (Universal Security Audit Programme) to ensure ASF maintains order?
Correct Answer Logic:
ICAO's USAP audits member states (including Pakistan) to ensure compliance with Annex 17 security standards.
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Home Economics
QUESTION #6255
Question 17
A child who shows significant delays in social interaction and communication may be evaluated for:
Correct Answer Logic:
Autism Spectrum Disorder (ASD) is characterized by challenges in social skills and repetitive behaviors.
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Paper-II (Pharmacognosy and Pharmaceutics-I)
QUESTION #3587
Question 18
The 'Taxonomical' classification of drugs is based on:
Correct Answer Logic:
Taxonomical classification follows the biological hierarchy (Family, Genus, Species).
Uploaded by: Fani Warraich
Chemistry
QUESTION #453
Question 19
Which element has the largest number of allotropic forms?
Correct Answer Logic:
Phosphorus has many allotropes (white, red, black, etc.)
Uploaded by: Fani Warraich
Correct Answer Logic:
Persistent Occiput Posterior (POP) position is a common cause of prolonged second stage and arrest of descent. In OP position:
- The fetal head presents with a larger diameter to the pelvis: occipito-frontal diameter \(\approx 11.5\,\text{cm}\) vs. sub-occipito-bregmatic \(9.5\,\text{cm}\) in OA
- Internal rotation from OP to OA requires \(135°\) rotation (vs. \(90°\) from OT, \(45°\) from OA)
- Causes: anthropoid/android pelvis, deflexed head
Management options:
- Manual rotation to OA (Barton's maneuver)
- Expectant management if maternal/fetal condition good
- Instrumental delivery: forceps (Kielland's rotational forceps) or rotational vacuum
- Cesarean section if rotation fails or fetal distress
CPD is less likely in a multigravida who delivered previously without CPD. Hypotonic labor would show weak contractions on partograph/CTG.
Uploaded by: Fani Warraich
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