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Mathematics QUESTION #975

The perpendicular distance of the line $\dfrac{x-1}{2}=\dfrac{y+2}{-1}=\dfrac{z+3}{2}$ from the point $P(2,-10,1)$ is:

6
$5\sqrt{2}$
$4\sqrt{3}$
$3\sqrt{5}$✔️

Correct Answer Logic:

Direction vector $\vec{d}=(2,-1,2)$. Point on line $A=(1,-2,-3)$. $\vec{AP}=(1,-8,4)$. $|\vec{AP}|^2=1+64+16=81$. $\vec{AP}\cdot\vec{d}=2+8+8=18$. $|\vec{d}|^2=9$. Distance$^2=81-\frac{324}{9}=81-36=45$. Distance$=\sqrt{45}=3\sqrt{5}$.

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Physics QUESTION #7861

Question 4182

Constant force 10 N moves object 5 m in direction of force. Work done:

2 J
5 J
15 J
50 J✔️

Correct Answer Logic:

W = Fd = 10×5 = 50 J.

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English QUESTION #8497

Question 4183

She was compensated _______ the loss of her belongings.

for✔️
over
against
None of these

Correct Answer Logic:

'Compensated for' a loss.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3471

Question 4184

'Peptidoglycan' is a structural molecule found in the cell walls of:

Humans
Plants
Bacteria✔️
Fungi

Correct Answer Logic:

It is a target for many antibiotics like penicillin.

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General Abilities QUESTION #2883

Question 4185

If $x:15 :: 4:3$, what is the value of $x$?

12
20✔️
25
10

Correct Answer Logic:

Product of means $=$ Product of extremes. $3x = 60 \implies x = 20$.

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Federal Rules of Evidence (US) QUESTION #3795

Question 4186

Which rule defines the 'original' of a writing, recording, or photograph?

Rule 1001.✔️
Rule 1002.
Rule 1003.
Rule 1004.

Correct Answer Logic:

Rule 1001 provides the definitions for the 'Best Evidence Rule' chapter, including what constitutes a 'writing,' 'recording,' and 'original.'

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Physics and Math QUESTION #776

Question 4187

If $y^2 = 3x$, then the equation of latus rectum is:

$x = \dfrac{3}{4}$✔️
$Y = \dfrac{4}{3}$
$Y = \dfrac{1}{3}$
$Y = \dfrac{5}{7}$

Correct Answer Logic:

For parabola $y^2 = 4ax$: $4a = 3 \Rightarrow a = \dfrac{3}{4}$. The latus rectum is the vertical line $x = a = \dfrac{3}{4}$.

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Library Sciences QUESTION #1500

Question 4188

The correct hierarchy of FRBR Group 1 entities from most abstract to most concrete is:

Item → Manifestation → Expression → Work
Work → Expression → Manifestation → Item✔️
Expression → Work → Item → Manifestation
Manifestation → Work → Expression → Item

Correct Answer Logic:

The FRBR Group 1 hierarchy from most abstract to most concrete is: Work → Expression → Manifestation → Item. For example: Hamlet (Work) → Shakespeare's original text (Expression) → a 2005 Oxford edition (Manifestation) → a specific copy on the shelf (Item).

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Civil Procedure QUESTION #3745

Question 4189

Congress passes a law that requires all citizens to wear a specific type of fitness tracker to monitor health and reduce national healthcare costs. Which power provides the strongest basis for this law?

The General Welfare Clause.
The Commerce Clause.✔️
The Necessary and Proper Clause.
The Taxing Power.

Correct Answer Logic:

The Commerce Clause (as interpreted in cases like Wickard v. Filburn and NFIB v. Sebelius) is usually the go-to power for regulating activities that, in the aggregate, have a substantial effect on interstate commerce, though NFIB placed limits on 'compelling' activity.

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Civil Procedure QUESTION #5661

Question 4190

A plaintiff from State A sues a defendant from State B in federal court for $100,000 for breach of contract. The defendant files a motion to dismiss for lack of personal jurisdiction under Rule 12(b)(2). While the motion is pending, the defendant discovers that the plaintiff failed to join a necessary party under Rule 19. Can the defendant now raise this new defense?

No, because the defendant waived the defense by omitting it from the initial Rule 12 motion.
Yes, because a motion to dismiss for failure to join a party under Rule 19 is never waived.
Yes, because Rule 12(h)(2) allows a party to raise a failure to join a person required by Rule 19(b) in any pleading allowed under Rule 7(a), by a motion under Rule 12(c), or at trial.✔️
No, unless the court grants the defendant leave to amend the pending motion.

Correct Answer Logic:

Under Rule 12(h)(2), certain defenses, including failure to join a person required by Rule 19(b), are preserved and can be raised in any pleading allowed under Rule 7(a), by a motion under Rule 12(c), or at trial, even if omitted from an earlier Rule 12(b) motion.

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Urdu QUESTION #4463

Question 4191

درست جملے کی نشاندہی کریں۔ (Identify the correct sentence)

کسی کو گالیاں مت نکالو
کسی کو گالیاں نہ نکالو
کسی کو گالیاں مت دو.✔️
ان میں کوئی نہیں۔

Correct Answer Logic:

The verb 'dena' (to give) is used with 'gaali' (abuse). One 'gives' abuse (gaali dena), one does not 'extract' (nikalna) it.

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General Abilities QUESTION #7989

Question 4192

If $xy = 2$ and $xy^2 = 8$, what is the value of $x$?

0.5✔️
2.5
4
8

Correct Answer Logic:

From $xy = 2$: $x = \dfrac{2}{y}$
Substituting into $xy^2 = 8$: $\dfrac{2}{y} \times y^2 = 8 \Rightarrow 2y = 8 \Rightarrow y = 4$
Then $x = \dfrac{2}{4} = 0.5$

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Physics QUESTION #7336

Question 4193

The speed of a projectile at its maximum height is half its initial speed. The angle of projection is:

$15°$
$30°$
$45°$
$60°$✔️

Correct Answer Logic:

At max height, speed $=$ horizontal component $= u\cos\theta$.

Given: $u\cos\theta = \dfrac{u}{2} \Rightarrow \cos\theta = \dfrac{1}{2} \Rightarrow \theta = \mathbf{60°}$

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HR and Management QUESTION #6446

Question 4194

Job insecurity as an individual challenge in modern HRM is primarily driven by:

Poor individual performance and low productivity
Downsizing and restructuring in competitive environments✔️
Lack of educational qualifications
Inadequate compensation packages

Correct Answer Logic:

Job insecurity stems from the era of downsizing and restructuring. Even profitable companies lay off workers, arguing layoffs are essential in cutthroat competition. Being able to count on steady jobs and promotions is a thing of the past, causing chronic stress for employees.

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Verbal Reasoning QUESTION #8175

Question 4195

Three consecutive integers have a sum of $-84$. Compare:

Quantity A: The smallest of the three integers

Quantity B: $-28$

Quantity A is greater
Quantity B is greater✔️
The two quantities are equal
The relationship cannot be determined from the information given

Correct Answer Logic:

Let the three consecutive integers be $n-1,\ n,\ n+1$.

$(n-1) + n + (n+1) = 3n = -84$

$n = -28$

The three integers are $-29,\ -28,\ -27$.

The smallest is $-29$.

Quantity A $= -29$, Quantity B $= -28$.

Since $-29 < -28$, Quantity B is greater.

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Math Physics Chemistry Biology QUESTION #4300

Question 4196

__________ arranges the DNA into chromosomes in a eukaryotic cell.

Hormones
Elastin
Histone✔️
Nucleosome

Correct Answer Logic:

Histone proteins are positively charged and bind to negatively charged DNA, helping to compact and organize DNA into nucleosomes and ultimately into chromosomes.

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Therapeutics and Patient Care QUESTION #3892

Question 4197

Which antibiotic provides the most appropriate empirical treatment for skin and soft tissue infections caused by penicillinase-producing staphylococci?

Dicloxacillin✔️
Phenoxymethylpenicillin
Ticarcillin
Amoxicillin/clavulanic acid

Correct Answer Logic:

Dicloxacillin is a penicillinase-resistant penicillin that specifically targets penicillinase-producing (beta-lactamase-producing) staphylococci.

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Urdu QUESTION #5217

Question 4198

خوشی کے موقع پر جو حروف استعمال ہوتے ہیں انہیں کیا کہا جاتا ہے؟

حروفِ دکھ
حروفِ تاسف
حروفِ جار
حروفِ انبساط✔️

Correct Answer Logic:

خوشی اور مسرت کے اظہار کے لیے جو حروف استعمال ہوتے ہیں انہیں حروفِ انبساط کہتے ہیں۔

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Agronomy QUESTION #2073

Question 4199

The Blaney-Criddle method of estimating crop water requirements is primarily based on:

Net solar radiation and wind speed data
Mean monthly temperature and daylight hours (sunshine percentage), making it suitable for regions where only temperature data are available but less accurate than the Penman-Monteith method✔️
Actual measured pan evaporation data corrected by a pan coefficient
Soil type and available water capacity in the root zone

Correct Answer Logic:

The Blaney-Criddle formula $ET = p(0.46T + 8)$ uses only mean monthly temperature (T) and monthly percentage of annual daylight hours (p). It was widely used before reliable radiation and humidity data were available. While simple, it overestimates ET in humid conditions and underestimates in arid climates — less accurate than the Penman-Monteith equation.

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English QUESTION #8309

Question 4200

I don't know _______ to value your qualities.

Only how
so how
How✔️
that how

Correct Answer Logic:

'How' alone functions as an adverb meaning 'in what way'.

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