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Basic Mathematics QUESTION #4596
Question 4421
Solve: $3x - 7 = 14$
  • $x = 7$✔️
  • $x = 21$
  • $x = \frac{7}{3}$
  • $x = 3$
Correct Answer Logic:
$3x - 7 = 14 \Rightarrow 3x = 21 \Rightarrow x = 7$
Uploaded by: Fani Warraich
Boilers Mechanical Engineering QUESTION #3994
Question 4422
If an Inspector discovers a 'Structural Flaw' that makes a boiler dangerous, they are empowered to:
  • Give a verbal warning only
  • Immediately prohibit the use of the boiler✔️
  • Suggest a paint job
  • Wait until the next annual inspection
Correct Answer Logic:
Safety is the priority; the Inspector can issue an order to stop operation until repairs are certified.
Uploaded by: Fani Warraich
Correct Answer Logic:
State laws that discriminate based on alienage are generally subject to strict scrutiny (unless it involves 'self-government' functions like voting or being a police officer). Note: Federal laws on alienage get rational basis.
Uploaded by: Fani Warraich
Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3151
Question 4424
The 'Olfactory' receptors are located in the upper part of the:
  • Mouth
  • Nasal cavity✔️
  • Throat
  • Ear
Correct Answer Logic:
Smell is detected in the roof of the nasal cavity.
Uploaded by: Fani Warraich
Library Sciences QUESTION #1509
Question 4425
In information retrieval, which type of retrieval tool uses a controlled vocabulary to represent the subject content of documents?
  • Full-text search engine
  • Thesaurus-based index✔️
  • Free-text keyword system
  • Boolean retrieval without vocabulary control
Correct Answer Logic:
A thesaurus-based index uses a controlled vocabulary — a structured list of preferred terms with cross-references — to consistently represent subject content, improving retrieval precision over uncontrolled free-text keyword systems.
Uploaded by: Fani Warraich
Correct Answer Logic:
Order of $\langle 6 \rangle = \frac{18}{\gcd(6,18)} = \frac{18}{6} = 3$.
Uploaded by: Fani Warraich
English QUESTION #2729
Question 4427
Choose the correct PAST PERFECT form: 'By the time she arrived
  • he ___ the food.'✔️
  • eats
  • is eating
  • ate
Correct Answer Logic:
3
Uploaded by: Fani Warraich
Urdu QUESTION #5202
Question 4428
'نثار میں تیری گلیوں کے اے وطن' یہ شعر کس شاعر کا ہے؟
  • غالب
  • اقبال
  • فیض احمد فیض✔️
  • احمد فراز
Correct Answer Logic:
یہ مشہور شعر فیض احمد فیض کی نظم 'دعا' سے ہے جو وطن سے گہری محبت کا اظہار کرتا ہے۔
Uploaded by: Fani Warraich
Urdu QUESTION #5146
Question 4429
اینٹ سے اینٹ بجانا محاورے کا مطلب ہے؟
  • امید پوری ہونا
  • تباہ و برباد کرنا✔️
  • بے عزت کرنا
  • بہت زیادہ شور کرنا
Correct Answer Logic:
اینٹ سے اینٹ بجانا محاورے کا مطلب ہے مکمل تباہ و برباد کر دینا۔
Uploaded by: Fani Warraich
Biology QUESTION #4292
Question 4430
Why are thick filaments unable to bind with thin filaments in a relaxed muscle fiber?
  • Actin blocks the myosin binding site
  • Tropomyosin blocks the myosin binding site✔️
  • Troponin blocks the myosin binding site
  • Tropomyosin blocks the troponin binding site
Correct Answer Logic:
In a relaxed muscle, tropomyosin covers the myosin-binding sites on actin filaments, preventing cross-bridge formation. Calcium ions ($Ca^{2+}$) are required to move tropomyosin away.
Uploaded by: Fani Warraich
English QUESTION #2763
Question 4431
Find the word SIMILAR IN MEANING to 'Diligent'.
  • Lazy
  • Careless
  • Hardworking✔️
  • Idle
Correct Answer Logic:
'Diligent' means showing steady and careful effort in work. 'Hardworking' has the same meaning. 'Lazy', 'Careless', and 'Idle' are opposite in meaning.
Uploaded by: Fani Warraich
Correct Answer Logic:
Z39.50 is a client-server protocol that enables one library system (client) to search and retrieve records from another system's database (server) using a standardized interface. It is fundamental to union catalogue searching, shared cataloguing, and federated search systems.
Uploaded by: Fani Warraich
English QUESTION #2774
Question 4433
Which ONE WORD means: 'A doctor who treats diseases of the mind'?
  • Physician
  • Cardiologist
  • Neurologist
  • Psychiatrist✔️
Correct Answer Logic:
A 'Psychiatrist' is a medical doctor who specializes in the diagnosis and treatment of mental disorders. A Physician is a general doctor; Cardiologist treats heart diseases; Neurologist treats nervous system disorders.
Uploaded by: Fani Warraich
Mathematics QUESTION #1288
Question 4434
A linear transformation \(T:\mathbb{R}^3\to\mathbb{R}^2\) must satisfy, for all \(\mathbf{u},\mathbf{v}\in\mathbb{R}^3\) and scalar \(c\):
  • T(\(\mathbf{u}+\mathbf{v}) = T(\mathbf{u})\cdot T(\mathbf{v})\)
  • T(c\(\mathbf{u}) = c^2T(\mathbf{u})\)
  • T(\(\mathbf{u}+\mathbf{v}) = T(\mathbf{u})+T(\mathbf{v})\) and \(T(c\mathbf{u})=cT(\mathbf{u})\)✔️
  • T must be onto
Correct Answer Logic:
A linear transformation satisfies two properties: (1) Additivity: \(T(\mathbf{u}+\mathbf{v})=T(\mathbf{u})+T(\mathbf{v})\), and (2) Homogeneity: \(T(c\mathbf{u})=cT(\mathbf{u})\). Both must hold simultaneously. Together they imply \(T(c\mathbf{u}+d\mathbf{v})=cT(\mathbf{u})+dT(\mathbf{v})\).
Uploaded by: Fani Warraich
Professional QUESTION #1872
Question 4435
Under Rule 18 & 19, for how long can an ad hoc appointment be made with prior FPSC clearance for posts within FPSC purview?
  • Three months or less
  • Six months or less✔️
  • One year or less
  • Two years or less
Correct Answer Logic:
Rule 19 states the appointing authority may fill a post on ad hoc basis for a period of six months or less after obtaining prior clearance of the Commission.
Uploaded by: Fani Warraich
Correct Answer Logic:
A: Overall K = K\(_{a1}\)\(\times\)K\(_{a2}\)\(\times\)K\(_{a3}\), so \(\log K=\log K_{a1}+\log K_{a2}+\log K_{a3}\) ✓. B: Each successive ionization is from a more negatively charged species → harder to remove H\(^+\) → H\(_3\)PO\(_4\) is strongest ✓. C: \(K_{a1}>K_{a2}>K_{a3}\) because successive ionizations from more negative species ✓. D: No such relationship exists — D is false. Correct: A, B, C = option (2).
Uploaded by: Fani Warraich
English QUESTION #4446
Question 4437
My brother was trembling ____ cold?
  • from
  • with✔️
  • of
  • by
Correct Answer Logic:
The preposition 'with' is correctly used to indicate the cause of an emotional or physical state like trembling.
Uploaded by: Fani Warraich
Dairy Food Science and Technology QUESTION #6001
Question 4438
Which of the following is used to detect the presence of Solids-Not-Fat (SNF) adulteration by addition of skim milk powder (SMP) to milk?
  • Alcohol precipitation test
  • Tyrosine index test or measurement of elevated non-protein nitrogen and reduced Whey Protein Nitrogen Index (WPNI) inconsistent with fresh milk (heat denaturation of whey proteins in SMP lowers WPNI)✔️
  • Clot on boiling test
  • Lactometer reading alone
Correct Answer Logic:
Detection of added SMP in milk involves: (1) Tyrosine index (proteolysis products elevated in SMP); (2) Whey Protein Nitrogen Index (WPNI) — lower in SMP-added milk due to heat denaturation of whey proteins; (3) Lactulose content (elevated in heated SMP); (4) Freezing point measurement inconsistencies. No single test is definitive; a battery of tests is required.
Uploaded by: Fani Warraich
Others section QUESTION #4784
Question 4439
Which province in Afghanistan is the largest opium-producing region?
  • Helmand✔️
  • Nangarhar
  • Badakhshan
  • Kandahar
Correct Answer Logic:
Helmand province in southern Afghanistan is consistently the world's largest single source of illicit opium, accounting for a significant portion of Afghanistan's total opium production.
Uploaded by: Fani Warraich
Correct Answer Logic:
$\nabla \cdot \vec{r} = \frac{\partial x}{\partial x} + \frac{\partial y}{\partial y} + \frac{\partial z}{\partial z} = 1 + 1 + 1 = 3$.
Uploaded by: Fani Warraich