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Partial fractions: $\dfrac{5Z-2}{Z(Z-1)}=\dfrac{2}{Z}+\dfrac{3}{Z-1}$. Both poles $Z=0$ and $Z=1$ lie inside $|Z|=2$. By residue theorem: $2\pi i(\text{Res at }0+\text{Res at }1)=2\pi i(2+3)=10\pi i$.

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General Knowledge QUESTION #8971

Question 4

The area inside a computer frame where data and instructions are stored is called:

Memory✔️
Recorder
Hopper
Interpreter

Correct Answer Logic:

Computer memory stores data and instructions.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3209

Question 5

'Micelles' are small droplets essential for the absorption of:

Proteins
Carbohydrates
Fats and Fat-soluble vitamins✔️
Water

Correct Answer Logic:

Bile salts form micelles to transport fatty acids to the intestinal surface.

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Logical Reasoning QUESTION #4434

Question 6

How many trees are in the orchard? Which of the statements below are needed to sufficiently answer this question? I. Ibrahim is a farmer and looks after half of the trees in the orchard. II. $300$ trees in the orchard are under Ibrahim's care.

I is enough
II is enough
Both I and II are needed✔️
Neither I nor II are sufficient

Correct Answer Logic:

Statement I alone tells us Ibrahim looks after half the trees but gives no actual number. Statement II alone tells us $300$ trees are under Ibrahim's care but does not tell us what fraction that is. Together: if Ibrahim cares for half the trees and that equals $300$, then total trees $= 300 \times 2 = 600$. Both statements are needed.

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Education QUESTION #7583

Question 7

Which of the following is an example of authentic assessment?

Multiple-choice test
Oral test
Essay writing
Conducting a real-life project✔️

Correct Answer Logic:

Authentic assessment requires students to perform real-world tasks that demonstrate meaningful application of knowledge and skills, such as projects or portfolios.

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Physics QUESTION #7342

Question 8

A projectile has initial velocity $(2\hat{i}+3\hat{j})\text{ m/s}$ at point A (at ground level). At point B (on the x-axis, same height as A), its velocity is:

$2\hat{i}+3\hat{j}$
$-2\hat{i}-3\hat{j}$
$-2\hat{i}+3\hat{j}$
$2\hat{i}-3\hat{j}$✔️

Correct Answer Logic:

Horizontal component is unchanged throughout: $v_x = 2\text{ m/s}$.

When the projectile returns to the same height, the vertical component reverses: $v_y = -3\text{ m/s}$.

Velocity at B $= \mathbf{2\hat{i} - 3\hat{j}}$

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General Knowledge QUESTION #165

Question 9

The UN Climate Change Conference 2024 (COP29) was held in:

Azerbaijan✔️
Tajilistan
Turkamanistan
None of these

Correct Answer Logic:

COP29 took place in Baku, Azerbaijan, in November 2024.

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Civil / Architecture QUESTION #2361

Question 10

In the Finite Element Method (FEM) applied to structural analysis, the stiffness matrix $[K]$ of a structure is assembled from element stiffness matrices $[k_e]$. For a 2-node bar element of length $L$, cross-sectional area $A$, and modulus $E$, the element stiffness matrix is:

$[k_e] = \dfrac{EA}{L} \begin{bmatrix} 1 & -1 \\ -1 & 1 \end{bmatrix}$✔️
$[k_e] = \dfrac{EA}{L} \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$
$[k_e] = \dfrac{EI}{L^3} \begin{bmatrix} 12 & -6L \\ -6L & 4L^2 \end{bmatrix}$
$[k_e] = \dfrac{EA}{L^2} \begin{bmatrix} 1 & -1 \\ -1 & 1 \end{bmatrix}$

Correct Answer Logic:

For a 2-node axial (bar) element with DOFs $\{u_1, u_2\}$, the element stiffness matrix derived from the principle of virtual work is $[k_e] = \dfrac{EA}{L}\begin{bmatrix}1 & -1 \\ -1 & 1\end{bmatrix}$. This is symmetric and singular (as expected for an unrestrained element). Option C is part of the Euler-Bernoulli beam element stiffness matrix (for bending DOFs).

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English QUESTION #8383

Question 11

CULPABLE means:

Involved
Guilty✔️
Affected
None of these

Correct Answer Logic:

Culpable means deserving blame; guilty.

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Nursing QUESTION #9258

Question 12

A 4-year-old child is admitted with generalized tonic-clonic seizures lasting 8 minutes. Temperature is 39.2°C. This is the child's first febrile seizure. Which statement about management is MOST accurate?

Immediate IV phenobarbitone loading is required
Lumbar puncture is mandatory in all first febrile seizures
Rectal diazepam 0.5 mg/kg is the first-line agent for active prolonged febrile seizures; simple febrile seizures require antipyretics and reassurance✔️
Long-term antiepileptic therapy should be started immediately

Correct Answer Logic:

Febrile Seizures — most common seizure type in children (6 months – 5 years):

Feature	Simple	Complex
Duration	<15 minutes	≥15 minutes
Type	Generalized	Focal or generalized
Recurrence in 24 hr	No	Yes

This child had an 8-minute seizure — technically simple (but approaching complex threshold).

Management:

Active seizure (>5 min): Rectal/IV diazepam $0.5\,\text{mg/kg}$ rectal or $0.3\,\text{mg/kg}$ IV (max 10 mg)
Antipyretics: Paracetamol $15\,\text{mg/kg}$ — reduces fever (does NOT prevent recurrence)
Reassurance: Risk of epilepsy <2–3% after simple febrile seizure
Long-term AEDs: NOT recommended for simple febrile seizures

Lumbar puncture indications in febrile seizure:

Age <12 months (mandatory)
12–18 months (strongly consider)
Signs of meningism (neck stiffness, positive Kernig/Brudzinski)
Post-ictal state >1 hour
Not mandatory in all first febrile seizures

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Math Physics Chemistry Biology QUESTION #7734

Question 13

Antibiotics are effective against which of the following pathogens?

Herpes simplex
Polio
Salmonella typhi✔️
None of the above

Correct Answer Logic:

Antibiotics target bacterial structures/processes (cell wall, protein synthesis). Salmonella typhi (bacterium) causes typhoid; antibiotics work. Herpes (virus) and polio (virus) require antiviral drugs.

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Math Physics Chemistry Biology QUESTION #551

Question 14

_____ did not have the adaptations to remove the flooding of their cells in fresh water.

Both B, D
Hydrophytes✔️
None of B, D
Xerophytes

Correct Answer Logic:

Hydrophytes are adapted to prevent flooding

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Administration QUESTION #9604

Question 15

During the business cycle, a company that manufactures luxury goods experiences a 40% revenue drop while a company selling basic food staples sees only a 3% decline. Which economic concept explains this difference, and what strategic implication does it carry for portfolio diversification?

Comparative advantage — luxury goods are more internationally traded and therefore more exposed to exchange rate fluctuations than food staples
Income elasticity of demand — luxury goods have high positive income elasticity (demand falls sharply when income falls) while necessities have low income elasticity (demand is relatively stable across income changes); a diversified firm should hold both cyclical and defensive businesses to smooth earnings through economic cycles✔️
Price elasticity of demand — luxury goods have more elastic demand because consumers can substitute them; food staples are inelastic because they have no substitutes
The Giffen goods paradox — as income falls, consumers paradoxically increase spending on inferior staples and reduce luxury consumption

Correct Answer Logic:

Income elasticity of demand (YED) measures how demand responds to income changes. Luxury goods have YED > 1 (income elastic — demand drops disproportionately in downturns); necessities have YED between 0 and 1 (income inelastic — demand is resilient). The strategic implication is portfolio theory applied to business units: combining cyclical (luxury) and defensive (staples) businesses reduces earnings volatility — the same logic institutional investors apply to equity portfolios.

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Maths QUESTION #4633

Question 16

If a car travels $180$ km in $3$ hours, what is its average speed?

$60$ km/h✔️
$183$ km/h
$177$ km/h
$540$ km/h

Correct Answer Logic:

Speed = $\frac{\text{distance}}{\text{time}} = \frac{180}{3} = 60$ km/h

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3656

Question 17

'Caffeine' is a purine derivative found in:

Tea and Coffee✔️
Apples
Potatoes
Carrots

Correct Answer Logic:

Tea (Thea sinensis) and Coffee (Coffea arabica) are major sources.

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Tourism & Hospitality Management QUESTION #1580

Question 18

Which of the following correctly identifies the five sectors of the tourism industry as outlined in the Introduction to Tourism & Hospitality course?

Transport, Accommodation, Food & Beverage, Attractions, and Travel Trade✔️
Hotels, Airlines, Tour Operators, Restaurants, and Museums
Public Sector, Private Sector, NGOs, Media, and Tourists
Infrastructure, Superstructure, Logistics, Marketing, and Finance

Correct Answer Logic:

The curriculum's Introduction to Tourism & Hospitality course identifies five interrelated sectors: Transport, Accommodation, Food & Beverage, Attractions, and Travel Trade — and requires students to evaluate their interrelationship in supporting tourism and events.

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