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Physics QUESTION #7052

A cube at $0^\circ\text{C}$ is subjected to external pressure $P$, causing equal compression on all sides. If $K$ is the material's bulk modulus and $\alpha$ is the linear expansion coefficient, what temperature increase is required to restore the cube to its original volume?

$3 PK \alpha$
$\frac{P}{3\alpha K}$✔️
$\frac{P}{\alpha K}$
$\frac{3\alpha}{PK}$

Correct Answer Logic:

From the definition of Bulk Modulus $K$:

$\frac{\Delta V}{V} = \frac{P}{K}$ (Volume strain due to pressure)

From thermal expansion, the increase in volume is:

$\frac{\Delta V}{V} = \gamma \Delta T = 3\alpha \Delta T$

To restore the original size, the thermal expansion must equal the pressure compression:

$3\alpha \Delta T = \frac{P}{K} \implies \Delta T = \frac{P}{3\alpha K}$

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3065

Question 6662

Which process involves the 'Sublimation' of water from a frozen product under vacuum?

Spray drying
Lyophilization (Freeze drying)✔️
Tray drying
Vacuum drying

Correct Answer Logic:

Freeze drying (lyophilization) is used for very heat-sensitive biological products.

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General Knowledge QUESTION #8946

Question 6663

Which city has the world's largest subway system (by annual ridership)?

Tokyo
Shanghai✔️
Mexico City
New York

Correct Answer Logic:

Tokyo Metro has the highest annual ridership.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3222

Question 6664

The 'Organ of Corti' is the actual organ of hearing located inside the:

Semicircular canals
Utricle
Cochlea✔️
Middle ear

Correct Answer Logic:

Hair cells in the cochlea convert mechanical sound waves into electrical impulses.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3600

Question 6665

Which method is most commonly used to extract volatile oils from plants?

Maceration
Steam Distillation✔️
Soxhlet Extraction
Cold Pressing

Correct Answer Logic:

Steam distillation is the standard industrial method for capturing volatile oils.

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Accounting & Finance QUESTION #6070

Question 6666

Which of the following is not a standard assumption in cost-volume-profit (CVP) analysis?

Fixed costs per unit remain constant across all activity levels.✔️
The selling price per unit remains constant.
The variable cost per unit remains constant.
All units produced are sold during the same period.

Correct Answer Logic:

In CVP, Total Fixed Costs are assumed to be constant, which means Fixed Cost per unit actually changes (decreases) as volume increases. Thus, assuming unit fixed cost is constant is incorrect.

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English QUESTION #7635

Question 6667

The bright sun warmed the sandy beach. (Which word is an adjective in this sentence?)

sun
bright✔️
warmed
None of these

Correct Answer Logic:

'Bright' is an adjective that describes the noun 'sun'. Adjectives provide descriptive information about nouns. In this sentence, 'sandy' is also an adjective describing 'beach', but 'bright' is the focus of the question.

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Mathematics QUESTION #6034

Question 6668

Find the set $K$ of all real $x$ where $f(x)=\sin|x|-|x|+2(x-\pi)\cos|x|$ is not differentiable.

$\emptyset$ (empty set)✔️
$\{\pi\}$
$\{0\}$
$\{0,\pi\}$

Correct Answer Logic:

Check $x=0$: Write $h(x)=\sin|x|-|x|$. For $x>0$: $h(x)=\sin x-x$, $h'(x)=\cos x-1$. For $x<0$: $h(x)=-\sin x+x$, $h'(x)=-\cos x+1$. At $x=0$: left limit $=0$, right limit $=0$ — differentiable.

The term $2(x-\pi)\cos|x|$ is clearly differentiable everywhere (product of smooth functions, since $\cos|x|$ is even and smooth).

At $x=\pi$: $\cos|\pi|=\cos\pi=-1$, and all parts are smooth for $x>0$.

Therefore $f$ is differentiable everywhere and $K=\boldsymbol{\emptyset}$.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3007

Question 6669

A 'Suspension' is a two-phase system consisting of:

Finely divided solid dispersed in a liquid✔️
Liquid dispersed in another liquid
Gas dispersed in a solid
Solid dissolved in a solvent

Correct Answer Logic:

A suspension consists of insoluble solid particles dispersed in a liquid medium.

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General Knowledge QUESTION #8628

Question 6670

What does the term 'Brain Drain' refer to?

A mad person
Migration of skilled labor to other countries✔️
Emigration of intellectuals
Illiteracy and ignorance

Correct Answer Logic:

Brain drain is the emigration of highly trained professionals.

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Statistics QUESTION #1957

Question 6671

The sum of absolute deviations $\sum |X - A|$ is minimized when deviations are taken from which measure?

Arithmetic Mean
Median✔️
Mode
Geometric Mean

Correct Answer Logic:

The sum of absolute deviations $\sum |X - A|$ is least (minimum) when deviations are measured from the Median. This is a fundamental property of the median.

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Accounting & Finance QUESTION #6185

Question 6672

Based on the Du Pont Identity, if a firm increases its Debt-Equity ratio while maintaining a constant Profit Margin and Total Asset Turnover, what occurs to the ROE?

ROE decreases due to higher interest expense.
ROE remains constant as it only depends on operating efficiency.
ROE increases because the Equity Multiplier rises.✔️
ROE becomes equal to the ROA.

Correct Answer Logic:

$ROE = \text{Profit Margin} \times \text{Total Asset Turnover} \times \text{Equity Multiplier}$. Increasing debt increases the multiplier, thus raising ROE [cite: 45, 46, 48].

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General Knowledge QUESTION #4761

Question 6673

General Michael Hayden served in which capacity?

President of Chile
Defense Secretary of the United States
Commander of NATO forces in Afghanistan
Director of the CIA✔️

Correct Answer Logic:

General Michael Hayden served as Director of the Central Intelligence Agency (CIA) from 2006 to 2009, having previously served as Director of the National Security Agency.

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Urdu QUESTION #5268

Question 6674

گنجہائے گرام مایا مشتمل ہے:

مکتوبوں پر
نثر نگاری پر
خاکوں پر✔️
ان میں سے کوئی نہیں

Correct Answer Logic:

گنجہائے گرام مایا احمد ندیم قاسمی کے خاکوں کا مجموعہ ہے (متن کے مطابق خاکے ہیں مگر اصلاً یہ 'گنجینہ' خاکوں کا ہے)۔

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Law QUESTION #9515

Question 6675

A High Court in revision sets aside an order of a subordinate Court and substitutes its own findings on facts. The party against whom the revisional order operates argues that the High Court exceeded its revisional jurisdiction. Is this argument sound?

No; the High Court can always substitute its own findings in revision
No; the High Court in revision can do anything the trial Court could do
Yes; revision is only available to correct jurisdictional errors confirmed by the Supreme Court
Yes; under Section 115 CPC, the High Court's revisional jurisdiction is supervisory and does not extend to correcting mere errors of fact; revision is available only where a Court has acted without jurisdiction, exceeded its jurisdiction, or acted with material irregularity in the exercise of jurisdiction✔️

Correct Answer Logic:

Section 115 CPC limits the High Court's revisional jurisdiction to cases where the subordinate Court has (a) exercised a jurisdiction not vested in it by law, (b) failed to exercise a jurisdiction so vested, or (c) acted in the exercise of jurisdiction illegally or with material irregularity. Revision is not a second appeal and cannot be used to re-appreciate facts.

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Islamic Studies QUESTION #8252

Question 6676

Which Surah was recited by the Holy Prophet (PBUH) at the time of Hijrah?

Surah Rehman
Surah Yaseen✔️
Surah Ikhlas
Surah Fateha

Correct Answer Logic:

This is a repeat of question 166. When the Prophet (PBUH) left his home during Hijrah while Quraish surrounded his house intending to kill him, he recited the beginning verses of Surah Yaseen (36:9): 'And We have put before them a barrier and behind them a barrier and covered them, so they do not see.' As he recited these verses and threw dust toward them, Allah blinded them, and he passed through safely. Hazrat Ali (RA) slept in the Prophet's bed that night as a decoy.

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Chemistry QUESTION #4359

Question 6677

The order of ease of reduction of $H^{+1}$, $Cu^{+2}$, and $Ag^{+1}$:

$H^{+1} > Cu^{+2} > Ag^{+1}$
$H^{+1} > Ag^{+1} > Cu^{+2}$
$Ag^{+1} > Cu^{+2} > H^{+1}$✔️
$H^{+1} > Cu^{+2} = Ag^{+1}$

Correct Answer Logic:

Ease of reduction follows the standard reduction potential (SRP): $Ag^{+}/Ag = +0.80\ V$, $Cu^{2+}/Cu = +0.34\ V$, $H^{+}/H_2 = 0.00\ V$. Higher SRP = easier to reduce. Order: $Ag^{+1} > Cu^{+2} > H^{+1}$.

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General Knowledge QUESTION #8623

Question 6678

Approximately what fraction of Jammu and Kashmir is under Indian occupation?

$1/3$
$2/3$✔️
$3/4$
$1/2$

Correct Answer Logic:

About two-thirds of the former princely state is under Indian control.

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General Knowledge QUESTION #284

Question 6679

The 2023 SDG Summit took place in September 2023 in:

New York✔️
Washington DC
Chicago
None of these

Correct Answer Logic:

The summit was held at the UN Headquarters in New York.+1

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Accounting & Finance QUESTION #6166

Question 6680

Why is the 'Constant Rupee Approach' used in Financial Statement Analysis?

To calculate the precise tax liability
To adjust for the effects of inflation when comparing balance sheets over time✔️
To ensure the Double Entry Principle is maintained
To convert Market Value to Book Value

Correct Answer Logic:

Lesson 03 explains that this approach compares balance sheets at different times by making inflationary adjustments to account for the limitations of historical cost.

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