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Boilers Mechanical Engineering QUESTION #2435
Question 1
The undamped natural circular frequency \(\omega_n\) of a spring-mass system (mass \(m\), spring stiffness \(k\)) is:
  • \(\omega_n = \sqrt{k/m}\)βœ”οΈ
  • \(\omega_n = \sqrt{m/k}\)
  • \(\omega_n = k/m\)
  • \(\omega_n = 2\pi\sqrt{m/k}\)
Correct Answer Logic:
From the equation of motion \(m\ddot{x}+kx=0\), dividing by \(m\) gives \(\ddot{x}+\omega_n^2 x=0\) where \(\omega_n^2=k/m\), hence \(\omega_n=\sqrt{k/m}\) rad/s.
Uploaded by: Fani Warraich
Physics QUESTION #1175
Question 2
In nuclear physics, the magic number defines:
  • Nuclear binding energy
  • Relatively exceptionally stable nucleiβœ”οΈ
  • Radioactivity
  • None of these
Correct Answer Logic:
Magic numbers (2, 8, 20, 28, 50, 82, 126) are specific numbers of protons or neutrons that result in exceptionally stable nuclei. Nuclei with magic numbers have completely filled nuclear shells, analogous to noble gas electron configurations in atomic physics, giving them extra stability.
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Correct Answer Logic:
The text emphasizes that Thornton alone held Buck's regard while 'the rest of mankind was as nothing,' showing Buck's special attachment to Thornton above all others.
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Boilers Mechanical Engineering QUESTION #2533
Question 4
A perfectly plastic impact (\(e=0\)) between two particles results in:
  • Maximum kinetic energy loss and the particles move together after impactβœ”οΈ
  • No energy loss and elastic rebound
  • Partial rebound with kinetic energy conserved
  • Maximum kinetic energy with separation
Correct Answer Logic:
For \(e=0\) (perfectly plastic impact), the relative velocity of separation is zero β€” the particles stick together and move as one body. This results in maximum kinetic energy loss, while linear momentum is still conserved.
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3292
Question 5
Which microorganism is primarily used in the industrial production of 'Penicillin'?
  • *Saccharomyces cerevisiae*
  • *Penicillium chrysogenum*βœ”οΈ
  • *Bacillus subtilis*
  • *Escherichia coli*
Correct Answer Logic:
This fungus was discovered by Fleming and later mass-produced for antibiotic therapy.
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Correct Answer Logic:
For \(n=3\): \(\text{adj}(\text{adj}(M)) = |M|^{n-2} M\). So \(\text{adj}(\text{adj}(2A)) = |2A|^1 \cdot 2A = 8|A| \cdot 2A = 8A\). Thus \(|B| = |8A| = 8^3|A| = 512 \cdot \frac{1}{2} = 256\) and \(\text{trace}(B) = \text{trace}(8A) = 8\cdot3 = 24\). So \(|B| + \text{trace}(B) = 256 + 24 = 280\).
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Correct Answer Logic:
Ψ¨Ω†ΫŒ Ψ§Ψ³Ψ±Ψ§Ψ¦ΫŒΩ„ 40 Ψ³Ψ§Ω„ ΨͺΪ© Ψ΅Ψ­Ψ±Ψ§Ψ¦Ϋ’ Ψ³ΫŒΩ†Ψ§ Ω…ΫŒΪΊ Ψ¨ΪΎΩΉΪ©ΨͺΫ’ رہے جیسا کہ Ω‚Ψ±Ψ’Ω† Ω…ΫŒΪΊ ہے۔
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Correct Answer Logic:

Option D (3 only) is correct.

The realisation concept states revenue is recognised when earned (goods transferred and risks/rewards pass), not when the invoice is raised. The sale was complete on 31 March, so it belongs in that year.

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General Abilities QUESTION #7988
Question 9
The equation \(x + a = b\) has a solution in the set of natural numbers if:
  • a < bβœ”οΈ
  • a > b
  • a = b
  • None of these
Correct Answer Logic:
\(x + a = b \Rightarrow x = b - a\). For \(x\) to be a natural number (positive integer), we need \(b - a \geq 1\), i.e., \(b > a\), or equivalently \(a < b\).
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3078
Question 10
Which type of tissue covers the body surfaces and lines internal organs?
  • Connective tissue
  • Epithelial tissueβœ”οΈ
  • Muscle tissue
  • Nervous tissue
Correct Answer Logic:
Epithelial tissue acts as a protective barrier and is involved in absorption and secretion.
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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5726
Question 11
In the 'Individual Prescription Order System', what is a major advantage compared to bulk floor stock?
  • Reduced manpower requirement
  • The pharmacist directly reviews all medication ordersβœ”οΈ
  • Elimination of all paperwork
  • Higher inventory loss
Correct Answer Logic:
The pharmacist reviewing all orders is a key advantage of this system.
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Information Technology QUESTION #1133
Question 12
When do data hazards occur in a pipeline?
  • During performance loss
  • When pipeline changes the order of read/write access to operandsβœ”οΈ
  • When a unit is not fully pipelined
  • When machine size is limited
Correct Answer Logic:
Data hazards happen when the pipeline changes the timing or order of operand access, leading to an instruction attempting to use data before it is updated by a previous instruction.
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Accounting &amp; Finance QUESTION #1197
Question 13
If two companies use different depreciation methods, the comparability of their financial information may be compromised unless:
  • The companies belong to the same regulatory framework.
  • They operate in similar markets.
  • The companies use IFRS standards.
  • Full disclosure of the methods is provided.βœ”οΈ
Correct Answer Logic:
Comparability requires that users can identify and understand similarities and differences between entities. When different accounting methods are used, comparability is preserved if the entity fully discloses the method used, enabling users to adjust and compare. Full disclosure (in notes to financial statements) is the key safeguard.
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Islamic Studies QUESTION #353
Question 14
The book "The Preaching of Islam" is written by:
  • Theodor NΓΆldeke
  • T.W. Arnoldβœ”οΈ
  • Philip Hitti
  • W. Montgomery Watt
Correct Answer Logic:
Sir Thomas Walker Arnold wrote this classic work on the history of the propagation of the Muslim faith.+1
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Academic/Professional (Social Sciences) QUESTION #6496
Question 15
A 'Taboo' is best defined as:
  • A mild social norm
  • A formal law
  • A social prohibition of an action based on the belief that it is too sacred or accursedβœ”οΈ
  • A popular fashion trend
Correct Answer Logic:
Taboos are strong social norms that, if violated, result in extreme disgust or punishment.
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Security Measures to Maintain Law and Order QUESTION #894
Question 16
Under Section 7(3), a person arrested for a "Law & Order" violation must be produced before a Magistrate within:
  • 12 hours
  • 24 hours (excluding travel time)βœ”οΈ
  • 48 hours
  • 1 week
Correct Answer Logic:
This follows the standard constitutional and legal procedure in Pakistan, as specified in the Code of Criminal Procedure.
Uploaded by: Fani Warraich
Civil Engineering QUESTION #6605
Question 17
For a bolted connection in a steel structure, the 'block shear' failure mode involves which of the following simultaneous actions?
  • Tension yielding and shear yielding
  • Tension fracture and shear fracture
  • Tension fracture and shear yielding (or vice versa)βœ”οΈ
  • Compression buckling and bolt shear
Correct Answer Logic:
Block shear is a limit state that involves the 'tearing out' of a block of material. It is characterized by the simultaneous fracture on one plane and yielding on a perpendicular plane (or fracture on both).
Uploaded by: Fani Warraich
Boilers Mechanical Engineering QUESTION #2487
Question 18
The acceleration of node B of a driver link with angular velocity \(\omega\) and angular acceleration \(\alpha=\ddot{\phi}\) has components:
  • \(a_{Bx} = -L_{AB}\omega^2\cos\phi + L_{AB}\alpha\sin\phi\); \(a_{By} = -L_{AB}\omega^2\sin\phi - L_{AB}\alpha\cos\phi\)
  • \(a_{Bx} = -L_{AB}\omega^2\cos\phi - L_{AB}\alpha\sin\phi\); \(a_{By} = -L_{AB}\omega^2\sin\phi + L_{AB}\alpha\cos\phi\)βœ”οΈ
  • \(a_{Bx} = L_{AB}\alpha\cos\phi\); \(a_{By} = L_{AB}\alpha\sin\phi\)
  • \(a_{Bx} = -L_{AB}\omega^2\cos\phi\); \(a_{By} = -L_{AB}\omega^2\sin\phi\)
Correct Answer Logic:
Differentiating velocity: \(a_{Bx}=-L_{AB}\alpha\sin\phi-L_{AB}\omega^2\cos\phi\) and \(a_{By}=L_{AB}\alpha\cos\phi-L_{AB}\omega^2\sin\phi\).
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Biology QUESTION #4274
Question 19
All are the functions of lysosome EXCEPT:
  • Intracellular digestion
  • Removal of the waste
  • Autophagy
  • Lipid synthesisβœ”οΈ
Correct Answer Logic:
Lysosomes are involved in intracellular digestion, waste removal, and autophagy. Lipid synthesis occurs in the smooth endoplasmic reticulum, not in lysosomes.
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Verbal Reasoning QUESTION #8101
Question 20

The volume of a cube is 64.

Compare:

Column A: The area of the base of the cube

Column B: $32$

  • Column A is greater
  • Column B is greaterβœ”οΈ
  • The two quantities are equal
  • The relationship cannot be determined from the information given
Correct Answer Logic:

For a cube with volume $V = s^3 = 64$, the side length is $s = \sqrt[3]{64} = 4$.

The base of a cube is a square, so its area $= s^2 = 4^2 = 16$.

Column A = 16, Column B = 32.

Since $16 < 32$, Column B is greater.

Uploaded by: Fani Warraich