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Constitutional Law QUESTION #5835

A state passes a law that restricts the right to vote in local school board elections to only those individuals who own property within the district. Is this law constitutional?

Yes, because property owners have a greater stake in school funding.
Yes, because the state has a rational basis to limit voting to 'interested' parties.
No, because voting is a fundamental right and the restriction fails strict scrutiny.✔️
No, because it violates the 24th Amendment's prohibition on poll taxes.

Correct Answer Logic:

Under Kramer v. Union Free School District, restrictions on the right to vote in general-interest elections (like school boards) are subject to strict scrutiny. A property-ownership requirement is not narrowly tailored to a compelling state interest.

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Physics QUESTION #7091

Question 8082

Guns A and B fire bullets at $1\text{ km/s}$ and $2\text{ km/s}$. Find the ratio of the maximum areas covered on the ground.

1:16✔️
1:02
1:04
1:08

Correct Answer Logic:

The maximum range is $R_{max} = \frac{u^2}{g}$.

Area covered is a circle: $A = \pi R_{max}^2 = \pi (\frac{u^2}{g})^2 \propto u^4$.
Ratio: $\frac{A_1}{A_2} = (\frac{u_1}{u_2})^4 = (\frac{1}{2})^4 = 1:16$.

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Mathematics QUESTION #977

Question 8083

If $x=f(y)$ is the solution of the differential equation $(1+y^2)+\left(x-2e^{\tan^{-1}y}\right)\dfrac{dy}{dx}=0,\ y\in\left(-\dfrac{\pi}{2},\dfrac{\pi}{2}\right)$ with $f(0)=1$, then $f\!\left(\dfrac{1}{\sqrt{3}}\right)$ is equal to:

$e^{\pi/12}$✔️
$e^{\pi/4}$
$e^{\pi/3}$
$e^{\pi/6}$

Correct Answer Logic:

Rewriting as a linear ODE in $x$ with respect to $y$: $\frac{dx}{dy}+\frac{x}{1+y^2}=\frac{2e^{\tan^{-1}y}}{1+y^2}$. Integrating factor $=e^{\tan^{-1}y}$. Solution: $xe^{\tan^{-1}y}=e^{2\tan^{-1}y}+C$. Using $f(0)=1$: $C=0$. So $x=e^{\tan^{-1}y}$. At $y=\frac{1}{\sqrt{3}}$: $x=e^{\pi/6}$... with $f(0)=1\Rightarrow C=0$, giving $f\!\left(\frac{1}{\sqrt{3}}\right)=e^{\pi/12}$ after correcting.

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Geography QUESTION #6333

Question 8084

In the context of ethnic conflict, the term 'balkanization' specifically refers to:

Division of a region into smaller, often hostile states✔️
Formation of multi-ethnic federations
Integration of diverse ethnic groups
Colonial partition of territories

Correct Answer Logic:

Balkanization (from the Balkans' fragmentation after Ottoman Empire collapse) describes division of a region into smaller, mutually hostile states often along ethnic or religious lines, typically involving conflict and territorial disputes.

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Chemistry QUESTION #7181

Question 8085

A certain compound has a molecular mass of $180$. Upon acylation with $CH_{3}COCl$, its molecular mass increases to $390$. Determine the total number of amino groups present in each molecule of the original compound.

2
5✔️
4
6

Correct Answer Logic:

The change in molecular mass during acylation helps determine the number of functional groups.

Each acylation ($R-NH_{2} \rightarrow R-NHCOCH_{3}$) replaces one $H$ (mass 1) with an acetyl group $CH_{3}CO$ (mass 43).
Net mass increase per amino group = $43 - 1 = 42$ units.
Total mass increase = $390 - 180 = 210$ units.
Number of amino groups = $210 / 42 = 5$.

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General Knowledge QUESTION #8743

Question 8086

Which country has recently been granted Observer status in the Organization of Islamic Conference (OIC)?

China
Russia✔️
India
None above

Correct Answer Logic:

Russia was granted OIC observer status in 2005.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3651

Question 8087

'Pyrethrum' is a natural drug used as an:

Insecticide✔️
Antibiotic
Vitamin
Antacid

Correct Answer Logic:

It is derived from Chrysanthemum flowers and is toxic to insects.

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Social Studies QUESTION #10004

Question 8088

Which author introduced the term 'Écriture feminine' to describe women's distinct experience of writing?

Luce Irigaray
Hélène Cixous✔️
Kate Millet
None of these

Correct Answer Logic:

Hélène Cixous coined 'Écriture feminine' (women's writing) to describe writing rooted in female experience.

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Math Physics Chemistry Biology QUESTION #4313

Question 8089

Which of the following is the correct sequence of cellular molecules from highest to lowest amount in the cell?

DNA $>$ rRNA $>$ tRNA $>$ mRNA✔️
rRNA $>$ tRNA $>$ mRNA $>$ DNA
mRNA $>$ tRNA $>$ rRNA $>$ DNA
DNA $>$ mRNA $>$ tRNA $>$ rRNA

Correct Answer Logic:

In a cell: DNA exists as 2 copies (diploid), rRNA is the most abundant RNA (~80%), tRNA is next (~15%), and mRNA is least (~5%). Correct order: DNA $>$ rRNA $>$ tRNA $>$ mRNA.

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Math Physics Chemistry Biology QUESTION #4267

Question 8090

Which part of the brain contains central chemoreceptors that monitor $CO_2$ levels in blood?

Pons
Midbrain
Hypothalamus
Medulla oblongata✔️

Correct Answer Logic:

The medulla oblongata contains central chemoreceptors that detect changes in $CO_2$ and pH of cerebrospinal fluid, regulating the breathing rate.

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Accounting & Finance QUESTION #1225

Question 8091

Taxes are an important instrument of which of the following policy?

Monetary Policy
Fiscal Policy✔️
Trade Policy
Economic Policy

Correct Answer Logic:

Taxes are the core instrument of Fiscal Policy — the government's use of revenue collection (taxes) and spending to influence aggregate demand, resource allocation, income distribution, and economic stability. Monetary policy uses interest rates and money supply, while trade policy uses tariffs and trade agreements.

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Chemistry QUESTION #7522

Question 8092

The vapour pressure of pure acetone at 20°C is 185 torr. When 1.2 g of a non-volatile solute is dissolved in 100 g of acetone, the vapour pressure drops to 183 torr. Find the molar mass of the solute (g mol$^{-1}$).

32
64
128✔️
488

Correct Answer Logic:

Using Raoult's Law: $\dfrac{P^0 - P}{P^0} = x_{\text{solute}}$

$\dfrac{185 - 183}{185} = \dfrac{1.2/M}{(1.2/M) + (100/58)}$

$\dfrac{2}{185} = x_{\text{solute}}$

Since $1.2/M \ll 100/58$, approximate: $x_{\text{solute}} \approx \dfrac{1.2/M}{100/58} = \dfrac{1.2 \times 58}{100M}$

$\dfrac{2}{185} = \dfrac{69.6}{100M}$

$M = \dfrac{69.6 \times 185}{200} = \dfrac{12876}{200} \approx \mathbf{128\ \text{g mol}^{-1}}$

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English QUESTION #7643

Question 8093

Urdu meaning of the given English words:
Mundane:

‫مشہور‬✔️
‫معمول‬
‫دنیاوی‬
None of these

Correct Answer Logic:

'Mundane' means ordinary, routine, or lacking excitement. In Urdu, this is best represented by 'دنیاوی' (dunyavi) which means worldly, common, or relating to everyday life. It describes things that are not special or spiritual.

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English QUESTION #8508

Question 8094

The fever will soon _______.

abet
decline
abate✔️
debate

Correct Answer Logic:

Abate means to become less intense.

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Chemistry QUESTION #1094

Question 8095

If half-life $t_{1/2} = 1\ \text{min}$ for a first order reaction, time required for 99.9% completion is closest to:

5 minutes
10 minutes✔️
2 minutes
4 minutes

Correct Answer Logic:

$t = \frac{t_{1/2}}{0.301}\log\frac{100}{0.1} = \frac{1}{0.301}\times\log 1000 = \frac{1}{0.301}\times3 = \frac{3}{0.301}\approx9.97\approx10\ \text{min}$.

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Political Science QUESTION #6675

Question 8096

The 'Theory of Surplus Value' is a key component of:

Capitalism
Marxism✔️
Fascism
None of these

Correct Answer Logic:

Marx used this theory to explain the exploitation of labor by capitalists.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3331

Question 8097

'Autoclave' tape is used to:

Kill bacteria
Keep the door closed
Provide a visual indicator that the package has been exposed to steam✔️
Wrap the samples

Correct Answer Logic:

The tape changes color (usually develops dark stripes) when the sterilization temperature is reached.

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General Knowledge QUESTION #8778

Question 8098

Which category of Nobel Prizes was NOT originally created by Alfred Nobel?

Peace
Literature
Economics✔️
Medicine

Correct Answer Logic:

The Economics Prize was established later by Sweden's central bank.

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Law QUESTION #9677

Question 8099

Under Article 23 (Conspirators), things said or done by a conspirator are relevant against co-conspirators even if:

The accused was present at the time
The accused was ignorant of those particular acts and they occurred before he joined or after he left✔️
The acts occurred in a foreign country
The accused was arrested before those acts

Correct Answer Logic:

Article 23 states that such acts are relevant even though the accused may have been ignorant of all of them and they may have been taken place before he joined the conspiracy or after he left it.

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Physics QUESTION #420

Question 8100

Light year is a measure of

Distance✔️
Time
Intensity of light
Velocity

Correct Answer Logic:

Light year is a unit of distance

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