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Mathematics QUESTION #4102
Question 1
The order of element \(4\) in the cyclic group \(\mathbb{Z}_{18}\) is:
  • \(9\)✔️
  • \(4\)
  • \(6\)
  • \(18\)
Correct Answer Logic:
The order of element \(k\) in \(\mathbb{Z}_n\) is \(\dfrac{n}{\gcd(k,n)}\). Here: \(\dfrac{18}{\gcd(4,18)}=\dfrac{18}{2}=9\). So element \(4\) has order \(9\) in \(\mathbb{Z}_{18}\).
Uploaded by: Fani Warraich
Verbal Reasoning QUESTION #8081
Question 2

$(19 - 18 - 17 - 16) - (20 - 19 - 18 - 17) =$

  • $-36$
  • $-6$
  • $-4$
  • $1$✔️
Correct Answer Logic:

Calculate each parenthesis separately:

First: $(19 - 18 - 17 - 16) = 19 - 18 - 17 - 16 = 1 - 17 - 16 = -16 - 16 = -32$

Second: $(20 - 19 - 18 - 17) = 20 - 19 - 18 - 17 = 1 - 18 - 17 = -17 - 17 = -34$

Now subtract: $(-32) - (-34) = -32 + 34 = 2$

Wait, let me recalculate more carefully:

$(19 - 18 - 17 - 16) = 19 - 51 = -32$

$(20 - 19 - 18 - 17) = 20 - 54 = -34$

$(-32) - (-34) = -32 + 34 = 2$

Hmm, 2 is not among the options. Let me check the arithmetic again:

$19 - 18 = 1$, $1 - 17 = -16$, $-16 - 16 = -32$ ✓

$20 - 19 = 1$, $1 - 18 = -17$, $-17 - 17 = -34$ ✓

$-32 - (-34) = 2$

Since the given answer is D, which corresponds to index 3 (value 1), there may be an error in my reading or the answer key. But mathematically, the answer is 2.

Uploaded by: Fani Warraich
Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3525
Question 3
In the 'Homeopathic' system, drugs are selected based on the principle of:
  • Law of Opposites
  • 'Similia Similibus Curentur' (Like cures like)✔️
  • Surgical intervention
  • Vaccination
Correct Answer Logic:
Homeopathy uses highly diluted substances that cause symptoms similar to the disease.
Uploaded by: Fani Warraich
Physical Education QUESTION #6799
Question 4
How did the Enlightenment period fundamentally change the justification for Physical Education compared to the Middle Ages?
  • It focused on preparation for feudal warfare
  • It emphasized naturalism and the physiological necessity of movement for health and reason✔️
  • It viewed physical activity as a distraction from spiritual salvation
  • It prioritized aesthetic beauty over functional health
Correct Answer Logic:
Enlightenment thinkers like Rousseau argued that physical activity was a natural necessity for developing a child's reasoning and overall health.
Uploaded by: Fani Warraich
Correct Answer Logic:

Trait (or phenotype) is the physical expression (e.g., tall, dwarf). Genotype is the genetic makeup; allele is a variant form; genetic code is the triplet codon system.

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HR and Management QUESTION #6472
Question 6

Human Resource Information System (HRIS) is primarily designed to:

  • Replace HR managers with automated systems
  • Provide an HR information base and implement employee communication systems✔️
  • Reduce headcount in HR departments
  • Eliminate paperwork entirely
Correct Answer Logic:

HRIS is designed to provide an HR information base and design/implement employee communication systems. It's a tool for better information management and communication, not a replacement for HR professionals.

Uploaded by: Fani Warraich
General Abilities QUESTION #4538
Question 7
What is $(\sqrt{a})^2$ for $a > 0$?
  • $a$✔️
  • $\sqrt{a}$
  • $a^2$
  • $2a$
Correct Answer Logic:
$(\sqrt{a})^2 = a$ for any positive $a$. The square and square root cancel each other.
Uploaded by: Fani Warraich
Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences) QUESTION #5805
Question 8
Which board is responsible for inspecting laboratories for drug registration?
  • PQCB
  • CLB
  • Registration Board✔️
  • Appellate Board
Correct Answer Logic:
The Registration Board inspects labs and registers drugs[cite: 7].
Uploaded by: Fani Warraich
Biology QUESTION #4190
Question 9
All of the following are the characteristics of limbic system EXCEPT:
  • Produce most basic and primitive emotions and drives✔️
  • formation of memories
  • Consists of hypothalamus
  • amygdala and hippocampus
Correct Answer Logic:
3
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Dairy Food Science and Technology QUESTION #5982
Question 10
In the production of WPC (Whey Protein Concentrate), the MWCO of UF membranes used is typically:
  • \(100\text{–}200\;\text{Da}\) (nanofiltration range)
  • \(5{,}000\text{–}30{,}000\;\text{Da}\) (retains whey proteins; \(\beta\)-Lg MW \(= 18{,}300\;\text{Da}\); \(\alpha\)-La MW \(= 14{,}000\;\text{Da}\))✔️
  • \(100{,}000\;\text{Da}\) (retains only casein micelles)
  • \(1{,}000{,}000\;\text{Da}\) (retains only fat globules)
Correct Answer Logic:
UF membranes with \(5{,}000\text{–}30{,}000\;\text{Da}\) MWCO are used for WPC/WPI production. They retain whey proteins (\(\beta\)-Lg MW \(\approx 18{,}300\;\text{Da}\), \(\alpha\)-La MW \(\approx 14{,}000\;\text{Da}\), BSA \(\approx 67{,}000\;\text{Da}\)) while allowing lactose (\(342\;\text{Da}\)), minerals, and water to permeate.
Uploaded by: Fani Warraich
Correct Answer Logic:

Option B ($29,200) is correct.

X's salary = $550 ÷ 5% = $11,000; Y's salary = $450 ÷ 5% = $9,000

Residual profit = $94,000 − $3,000 + $1,000 − $11,000 − $9,000 = $73,000 (Interest on drawings added back: $550+$450=$1,000)

Y's share = 2/5 × $73,000 = $29,200

Uploaded by: Fani Warraich
Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3039
Question 12
'Hot Air Oven' sterilization is suitable for:
  • Rubber gloves
  • Glassware and metal instruments✔️
  • Plastic syringes
  • Antibiotic solutions
Correct Answer Logic:
Dry heat in a hot air oven is ideal for glassware but would melt rubber or plastic.
Uploaded by: Fani Warraich
Biology QUESTION #7259
Question 13
The one gene–one enzyme relationship was established for the first time in:
  • Diplococcus pneumoniae
  • Neurospora crassa✔️
  • Salmonella typhimurium
  • Escherichia coli
Correct Answer Logic:
Beadle and Tatum (1941) established the one gene–one enzyme hypothesis using the bread mould Neurospora crassa. They induced mutations by X-rays and found each mutation blocked a specific metabolic step, implying each gene codes for one enzyme. This work won them the Nobel Prize in 1958.
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3386
Question 14
'Zwitterion' is a state where an amino acid has:
  • Only a positive charge
  • Only a negative charge
  • Both positive and negative charges (neutral net charge)✔️
  • No charges at all
Correct Answer Logic:
This occurs at the isoelectric point ($pI$).
Uploaded by: Fani Warraich
Education QUESTION #6885
Question 15
Which of the following is the MOST accurate definition of 'benchmarking' in the context of behavioral record-keeping in schools?
  • The process of comparing a student's academic performance against national test score averages
  • Recording and monitoring student behavior against specific, pre-defined performance indicators at designated intervals✔️
  • A technique in which teachers rank students' behavioral outcomes relative to their classroom peers
  • A method of documenting teacher performance during classroom observations for appraisal purposes
Correct Answer Logic:
In behavioral record-keeping, benchmarks are specific reference points tied to observable levels of behavioral performance. They allow teachers and administrators to track whether a student is progressing, plateauing, or regressing in behavioral development over time — similar to how academic benchmarks track cognitive progress.
Uploaded by: Fani Warraich
General Abilities QUESTION #4638
Question 16
Round $3.7456$ to $2$ decimal places:
  • $3.74$
  • $3.75$✔️
  • $3.7$
  • $3.8$
Correct Answer Logic:
Third decimal is $5$, so round up: $3.75$
Uploaded by: Fani Warraich
Urdu QUESTION #5231
Question 17
وہ حروف جو سوال کرنے پر استعمال ہوتے ہیں کہلاتے ہیں؟
  • ندائیہ
  • استفہامی✔️
  • فجائیہ
  • ان میں سے کوئی نہیں
Correct Answer Logic:
استفہامی حروف وہ ہوتے ہیں جو سوال پوچھنے کے لیے استعمال ہوں جیسے کیا، کیوں، کہاں۔
Uploaded by: Fani Warraich
Biology Zoology Botany QUESTION #1387
Question 18
What is the characteristic feature of the Fabaceae family?
  • Composite flowers
  • Opposite leaves
  • Papilionaceous corolla✔️
  • Parallel venation
Correct Answer Logic:
Fabaceae (legume family, previously Leguminosae) is characterised by the papilionaceous (butterfly-like) corolla consisting of 5 petals: 1 standard (vexillum), 2 wings (alae), and 2 fused keel petals (carina). Other features include compound leaves, stipules, and the presence of root nodules with nitrogen-fixing Rhizobium bacteria.
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Mathematics QUESTION #1261
Question 19
The transformation \(T:\mathbb{R}^3\to\mathbb{R}^2\) defined by \(T(x,y,z)=(|x|,\,y+z)\) is:
  • Linear
  • Not linear because it is not onto
  • Not linear because \(T(-x,y,z)\neq -T(x,y,z)\)✔️
  • Linear only for \(x\geq0\)
Correct Answer Logic:
A linear transformation requires \(T(c\mathbf{v})=cT(\mathbf{v})\). Check: \(T(-1,0,0)=(|-1|,0)=(1,0)\) but \(-T(1,0,0)=-(1,0)=(-1,0)\). Since \(T(-\mathbf{v})\neq -T(\mathbf{v})\), \(T\) is NOT linear. The \(|x|\) component violates homogeneity.
Uploaded by: Fani Warraich
General Abilities QUESTION #7994
Question 20
\(18\tfrac{1}{6} \div 2\tfrac{1}{3} = ?\)
  • \(4\tfrac{1}{2}\)
  • \(11\tfrac{7}{14}\)
  • \(7\tfrac{11}{14}\)✔️
  • None
Correct Answer Logic:
\(18\tfrac{1}{6} = \dfrac{109}{6}\) and \(2\tfrac{1}{3} = \dfrac{7}{3}\)
\(\dfrac{109}{6} \div \dfrac{7}{3} = \dfrac{109}{6} \times \dfrac{3}{7} = \dfrac{327}{42} = \dfrac{109}{14} = 7\tfrac{11}{14}\)
Uploaded by: Fani Warraich