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In 1 hour, 15 men make 27 baskets.
In 40 min $\left(\dfrac{2}{3}$ hr$\right)$, 15 men make $27 \times \dfrac{2}{3} = 18$ baskets.
45 men (3× more): $18 \times 3 = 54$ baskets.

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English QUESTION #2680

Question 744

Identify the correct article: 'He is ___ honest man who always speaks the truth.'

a
an✔️
the
no article

Correct Answer Logic:

The word 'honest' begins with a silent 'h' and a vowel sound /o/, requiring 'an'.

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Physics QUESTION #6997

Question 745

The given graph shows a quantity that is constant inside a sphere and decreases with $1/r$ outside. This variation with distance $r$ from centre represents:

Electric field of a uniformly charged solid sphere
Potential of a uniformly charged spherical shell✔️
Potential of a uniformly charged solid sphere
Electric field of a uniformly charged spherical shell

Correct Answer Logic:

Analyzing each option's variation with $r$:

Electric field of solid sphere: increases linearly inside ($\propto r$), decreases as $1/r^2$ outside.
Potential of spherical shell: constant inside (= $kQ/R$), decreases as $1/r$ outside. This matches the graph exactly.
Potential of solid sphere: varies parabolically inside, $\propto 1/r$ outside — not constant inside.
Electric field of spherical shell: zero inside, $1/r^2$ outside.

The graph (constant inside, $1/r$ decrease outside) matches the potential of a uniformly charged spherical shell.

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General Abilities QUESTION #4547

Question 746

What is $25\%$ as a decimal?

$2.5$
$0.25$✔️
$0.025$
$25.0$

Correct Answer Logic:

To convert percent to decimal, divide by $100$. $25\% = \frac{25}{100} = 0.25$

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Mathematics QUESTION #1255

Question 747

If $\varphi: \mathbb{Z}_6 \to \mathbb{Z}_6$ is a one-to-one (injective) homomorphism, then $\ker(\varphi)$ is:

{$\bar{0}, \bar{2}, \bar{4}$}
{$\bar{0}, \bar{3}$}
{$\bar{0}$}✔️
All of $\mathbb{Z}_6$

Correct Answer Logic:

A one-to-one (injective) homomorphism has trivial kernel. Since $\ker(\varphi) = \{x : \varphi(x) = 0\}$ and $\varphi$ is injective, only $\varphi(0)=0$, so $\ker(\varphi) = \{\bar{0}\}$.

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Physics QUESTION #1066

Question 748

A water tank with wall at $x=L$, liquid of surface tension $S$ and density $\rho$. Liquid surface height $y(x)$ satisfies which equation? (Given $\theta(x)\approx\tan\theta=\frac{dy}{dx}$):

d²y/dx² = √(ρg/S)
dy/dx = √(ρg/S)·x
d²y/dx² = (ρg/S)x
d²y/dx² = (ρg/S)y✔️

Correct Answer Logic:

The meniscus shape is governed by the balance between surface tension (curvature force) and hydrostatic pressure. The capillary equation gives: $\frac{d^2y}{dx^2} = \frac{\rho g}{S}y$. This is the standard capillary length equation where the curvature $\approx d^2y/dx^2$ for small angles equals $\rho g y/S$.

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General Abilities QUESTION #4577

Question 749

What is the average of first $5$ positive integers?

$2.5$
$3$✔️
$5$
$15$

Correct Answer Logic:

Numbers: $1,2,3,4,5$. Average = $\frac{1+2+3+4+5}{5} = \frac{15}{5} = 3$

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Therapeutics and Patient Care QUESTION #3884

Question 750

Which parameter requires routine monitoring in a patient receiving long-term amiodarone therapy?

Prostate specific antigen
Urinary cortisol
Serum creatinine
Thyroid function tests✔️

Correct Answer Logic:

Amiodarone contains iodine and can cause both hypo- and hyperthyroidism. Regular thyroid function tests are mandatory. Liver function and pulmonary function also require monitoring.

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Mathematics QUESTION #1286

Question 751

A subgroup $H$ of a group $G$ is called normal if for all $g\in G$:

gH=H
gHg^{-1}\subseteq H✔️
H contains the identity
H is abelian

Correct Answer Logic:

A subgroup $H$ is normal in $G$ if $gHg^{-1}=H$ (equivalently $gHg^{-1}\subseteq H$) for all $g\in G$. This means left and right cosets coincide: $gH=Hg$ for all $g\in G$. Normal subgroups are the kernels of homomorphisms.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3603

Question 752

'Fennel' (Saunf) belongs to which family?

Lamiaceae
Umbelliferae (Apiaceae)✔️
Myrtaceae
Lauraceae

Correct Answer Logic:

Plants in the Umbelliferae family typically have umbrella-shaped flower clusters (umbels).

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Biology QUESTION #4220

Question 753

Which of the following characteristics is common among sucrose, lactose and maltose?

molecular formula✔️
occurrence in living beings
chemical nature of their monosaccharide units
to act as a substrate

Correct Answer Logic:

All three disaccharides have formula $\text{C}_{12}\text{H}_{22}\text{O}_{11}$.

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Geography QUESTION #6332

Question 754

In the context of sustainable food systems, 'food miles' refers to:

Distance workers travel to agricultural employment
Distance food travels from production to consumption✔️
Agricultural land distance from urban markets
Supply chain efficiency in food distribution

Correct Answer Logic:

Food miles measure the distance food travels from production to consumption, used as a sustainability indicator. Higher food miles generally mean greater CO2 emissions from transportation, though production method variations can complicate this assessment.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3260

Question 755

'Gluconeogenesis' is the process of:

Breaking down glucose
Creating glucose from non-carbohydrate sources (like amino acids)✔️
Storing glucose as glycogen
Turning fat into sugar

Correct Answer Logic:

This occurs primarily in the liver during fasting.

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MCQs Section QUESTION #4907

Question 756

A peculiar feature of the embryonic mammalian circulatory system is that in the area of the heart the cells adhere to one another, _____ exclusive of one another.

beating in unison and adopting
they beat in unison while adopting
beat in unison, and adopt
beating in unison yet adopting✔️

Correct Answer Logic:

Beating in unison yet adopting' uses 'yet' to convey the meaningful contrast: the cells beat together yet adopt mutually exclusive orientations. 'And' in option A fails to express this contrast. Options B and E introduce finite verb clauses that break the participial parallel. Option C uses base-form verbs that do not fit grammatically.

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Islamic Studies QUESTION #7621

Question 757

عام الفیل (Year of the Elephant) کس نبیوی سال میں پیش آیا؟

8 نبوی✔️
9 نبوی
10 نبوی
11 نبوی

Correct Answer Logic:

عام الفیل 8 نبوی (570 عیسوی) میں پیش آیا، جس میں نبی کریم ﷺ کی پیدائش ہوئی۔

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Civil Procedure QUESTION #3727

Question 758

Two cars collide at an intersection. Witness A says Car 1 ran the red light. Witness B says Car 2 ran the red light. Both witnesses are credible. The jury is perfectly split $\text{50/50}$ on who was at fault. If the plaintiff (Driver of Car 1) has the burden of proof, who wins?

The plaintiff.
The defendant.✔️
Neither; it's a mistrial.
They share the damages equally.

Correct Answer Logic:

The plaintiff bears the burden of proof by a 'preponderance of the evidence' (more likely than not, or $>50\%$). If the evidence is in equipoise (exactly $50/50$), the party with the burden of proof loses.

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Civil / Architecture QUESTION #2364

Question 759

In soil compaction, the Zero Air Voids (ZAV) curve or 100% saturation curve represents:

The maximum dry density achievable for a given soil at any compactive effort
The theoretical maximum dry density $\gamma_{d,max}$ at a given water content $w$ if all air voids are eliminated, given by $\gamma_d = \dfrac{G_s \gamma_w}{1 + w G_s}$✔️
The field density achieved by standard Proctor compaction test
The relationship between void ratio and effective stress during consolidation

Correct Answer Logic:

The ZAV curve is the theoretical upper bound of dry density at any moisture content, computed as $\gamma_d = \dfrac{G_s \gamma_w}{1 + w G_s}$, assuming $S = 100\%$ (all voids filled with water, no air). In practice, compaction curves plot below and to the left of the ZAV curve. The ZAV curve does not represent an achievable state during compaction but serves as a reference limit.

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Quantitative Reasoning QUESTION #8035

Question 760

PEST : IRKSOME :: (Find the pair that best matches the relationship between the given words)

salesclerk : courteous
expert : proficient✔️
enigma : unexpected
accuser : indicted

Correct Answer Logic:

A PEST is by definition IRKSOME (annoying) — the noun is defined by that adjective. An expert is by definition proficient (highly skilled) — the noun is defined by that adjective. Both pairs = [noun] : [adjective that inherently defines it]. 'Accuser:indicted' reverses subject roles. 'Enigma:unexpected' and 'salesclerk:courteous' are not inherent/definitional relationships.

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