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Contracts QUESTION #5840
Question 1
A Seller agrees to sell a custom machine to a Buyer for $450$. Later, they orally agree to add a cooling unit, raising the total price to $550$. Is the oral modification enforceable?
  • Yes, because the original contract was under $500$.
  • Yes, because modifications never require a writing under the UCC.
  • No, because the contract as modified falls within the Statute of Frauds.โœ”๏ธ
  • No, because custom goods always require a signed writing.
Correct Answer Logic:
UCC ยง2-209(3) requires a writing if the contract as modified falls within the Statute of Frauds ($500$ or more).
Uploaded by: Fani Warraich
Boilers Mechanical Engineering QUESTION #2454
Question 2
The Rayleigh (energy) method for approximating the fundamental natural frequency equates:
  • Maximum kinetic energy to maximum potential energy: \(T_{max} = V_{max}\) giving \(\omega_n^2 = k/m\)โœ”๏ธ
  • Mean kinetic energy to mean potential energy
  • Damping energy to spring potential energy
  • Total energy to the product of mass and stiffness
Correct Answer Logic:
Rayleigh's method: for conservative systems in harmonic motion, maximum kinetic energy \(T_{max}=\frac{1}{2}m(\omega_n X)^2\) equals maximum potential energy \(V_{max}=\frac{1}{2}kX^2\). Setting \(T_{max}=V_{max}\): \(\omega_n^2=k/m\).
Uploaded by: Fani Warraich
Chemistry QUESTION #470
Question 3
In this process higher hydrocarbons can be cracked at lower temperature and lower pressure.
  • Thermal cracking
  • Catalytic crackingโœ”๏ธ
  • Steam cracking
  • Reforming
Correct Answer Logic:
No explanation provided for this question.
Uploaded by: Fani Warraich
Contracts QUESTION #5842
Question 4
A Seller tenders non-conforming goods to a Buyer under a shipment contract. The goods are destroyed in transit. Who bears the risk of loss?
  • The Buyer, because it is a shipment contract.
  • The Seller, because the goods were non-conforming.โœ”๏ธ
  • The Carrier, as the bailee of the goods.
  • The Buyer and Seller share the loss 50/50.
Correct Answer Logic:
Under UCC ยง2-510(1), if a tender fails to conform, the risk of loss remains on the seller until cure or acceptance.
Uploaded by: Fani Warraich
English QUESTION #483
Question 5
He was __________ of all valuable possessions.
  • Robbedโœ”๏ธ
  • Stolen
  • Pinched
  • Established
Correct Answer Logic:
'Robbed of' is the correct phrase
Uploaded by: Fani Warraich
Biology QUESTION #7780
Question 6

Lysosomes contain which type of enzymes?

  • Hydrolytic enzymesโœ”๏ธ
  • Meiotic enzymes
  • Oxidative enzymes
  • Mitotic enzymes
Correct Answer Logic:

Lysosomes are membrane-bound organelles containing acid hydrolases (hydrolytic enzymes) that digest macromolecules. Oxidative enzymes are in peroxisomes; meiotic/mitotic enzymes are involved in cell division.

Uploaded by: Fani Warraich
Physics QUESTION #1172
Question 7
A charge moving in a uniform static magnetic field experiences:
  • A force perpendicular to magnetic field and velocityโœ”๏ธ
  • Increase in momentum
  • Decrease in momentum
  • Decrease in velocity
Correct Answer Logic:
The magnetic force on a moving charge is given by the Lorentz force: \(\vec{F} = q(\vec{v} \times \vec{B})\). The cross product means the force is always perpendicular to both the velocity \(\vec{v}\) and the magnetic field \(\vec{B}\). Since the force is perpendicular to velocity, it does no work, so speed (and hence momentum magnitude and kinetic energy) remains unchanged.
Uploaded by: Fani Warraich
Correct Answer Logic:
The text explains that the researchers were able to get information from the fossils, so 'obtain' is the most appropriate word.
Uploaded by: Fani Warraich
Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3617
Question 9
The 'Stomata' and 'Trichomes' of a leaf are studied during which type of evaluation?
  • Chemical
  • Microscopicalโœ”๏ธ
  • Physical
  • Organoleptic
Correct Answer Logic:
Microscopy is essential for identifying cellular characteristics of organized drugs.
Uploaded by: Fani Warraich
Biology Zoology Botany QUESTION #1341
Question 10
Prader-Willi syndrome is the heterozygous deletion in the long arm of chromosome at:
  • 5
  • 15โœ”๏ธ
  • 3
  • None of these
Correct Answer Logic:
Prader-Willi syndrome results from loss of function of genes on the paternal copy of chromosome 15q11-q13 (long arm of chromosome 15). This is typically due to a deletion in the paternal chromosome 15. The same region, when deleted from the maternal chromosome, causes Angelman syndrome โ€” a classic example of genomic imprinting.
Uploaded by: Fani Warraich
Pakistan Affairs QUESTION #319
Question 11
The name of the first Pakistani-manufactured aircraft is:
  • JF-17 Thunderโœ”๏ธ
  • JF-8 Thunder
  • JF-9 Thunder
  • JF-11 Thunder
Correct Answer Logic:
The JF-17 Thunder is a multi-role combat aircraft co-developed and produced in Pakistan.+1
Uploaded by: Fani Warraich
Library Sciences QUESTION #1558
Question 12
In Dewey Decimal Classification (DDC), the notation '020' represents which major subject division?
  • Philosophy and Psychology
  • Computer Science, Information, and General Works
  • Library and Information Sciencesโœ”๏ธ
  • Social Sciences
Correct Answer Logic:
In DDC, the 000 class covers Computer Science, Information, and General Works. Within this class, 020 specifically represents Library and Information Sciences โ€” the class where books about librarianship, cataloguing, and information management are classified.
Uploaded by: Fani Warraich
Mathematics QUESTION #1314
Question 13
The Fourier series of a function \(f(x)\) on \((-\pi,\pi)\) is given by \(f(x)=\dfrac{a_0}{2}+\sum_{n=1}^\infty(a_n\cos nx+b_n\sin nx)\). The coefficient \(a_0\) is:
  • \(\dfrac{1}{\pi}\int_{-\pi}^{\pi}f(x)\,dx\)โœ”๏ธ
  • \(\dfrac{2}{\pi}\int_{-\pi}^{\pi}f(x)\,dx\)
  • \(\int_{-\pi}^{\pi}f(x)\,dx\)
  • \(\dfrac{1}{2\pi}\int_{-\pi}^{\pi}f(x)\,dx\)
Correct Answer Logic:
\(a_0=\dfrac{1}{\pi}\int_{-\pi}^{\pi}f(x)\,dx\). Then \(a_n=\dfrac{1}{\pi}\int_{-\pi}^{\pi}f(x)\cos nx\,dx\) and \(b_n=\dfrac{1}{\pi}\int_{-\pi}^{\pi}f(x)\sin nx\,dx\). The constant term in the series is \(\dfrac{a_0}{2}\).
Uploaded by: Fani Warraich
Islamic Studies QUESTION #7705
Question 14
What does the term ''Isnad'' refer to in Hadith?
  • Content of the Hadith
  • Chain of Narratorsโœ”๏ธ
  • Classification of Hadith
  • None of these
Correct Answer Logic:
'Isnad' refers to the chain of narrators (chain of transmission) in a Hadith. It lists the series of people who transmitted the Hadith from the Prophet (PBUH) to the final compiler, establishing the authenticity and reliability of the narration.
Uploaded by: Fani Warraich
HR and Management QUESTION #6425
Question 15

According to the text, which factor has contributed most significantly to the proliferation and importance of HR functions through extensive record-keeping requirements?

  • Technological advancement and automation
  • Legislation and litigation requirementsโœ”๏ธ
  • Globalization and international expansion
  • Workforce diversity initiatives
Correct Answer Logic:

Legislation and litigation have contributed enormously to the proliferation of HR functions. The record-keeping and reporting requirements of laws (equal employment, compensation, safety, labor relations) are so extensive that HR departments must work countless hours and often hire additional staff to comply.

Uploaded by: Fani Warraich
Chemistry QUESTION #433
Question 16
Which element forms long chains alternating with oxygen?
  • Carbon
  • Silicon
  • Nitrogen
  • All of theseโœ”๏ธ
Correct Answer Logic:
Silicon, carbon and other elements can form chains with oxygen
Uploaded by: Fani Warraich
Correct Answer Logic:
Total parts \(= 7 + 3 = 10\). Milk \(= \dfrac{7}{10} \times 60 = 42\) litres.
Uploaded by: Fani Warraich
Boilers Mechanical Engineering QUESTION #2535
Question 18
The scalar triple product \(\mathbf{A} \cdot (\mathbf{B} \times \mathbf{C})\) geometrically represents:
  • The magnitude of the vector \(\mathbf{B} \times \mathbf{C}\)
  • The volume of the parallelepiped formed by \(\mathbf{A}\), \(\mathbf{B}\), \(\mathbf{C}\)โœ”๏ธ
  • The area of the triangle formed by the three vectors
  • The dot product of \(\mathbf{B}\) and \(\mathbf{C}\) projected onto \(\mathbf{A}\)
Correct Answer Logic:
The scalar triple product \(\mathbf{A}\cdot(\mathbf{B}\times\mathbf{C})\) equals the volume of the parallelepiped whose three edges are represented by vectors \(\mathbf{A}\), \(\mathbf{B}\), and \(\mathbf{C}\). If the result is zero, the vectors are coplanar.
Uploaded by: Fani Warraich
Pakistan Affairs QUESTION #4657
Question 19
Pakistan formally left CENTO (Central Treaty Organization) in which year?
  • 1971
  • 1975
  • 1979โœ”๏ธ
  • 1981
Correct Answer Logic:
Pakistan left CENTO in 1979, the same year the organization was dissolved following the Iranian Revolution and the withdrawal of Iran.
Uploaded by: Fani Warraich
Geography QUESTION #1249
Question 20
Natural levees are associated with:
  • Alluvial fans
  • Flood plainsโœ”๏ธ
  • Deltas
  • None of these
Correct Answer Logic:
Natural levees are low ridges of alluvial sediment built up along the banks of a river, formed when floodwaters overflow and deposit their heaviest sediment load immediately adjacent to the channel. They are characteristic features of flood plains. As the river repeatedly floods, these ridges grow higher and help confine the river channel.
Uploaded by: Fani Warraich