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Purchasing Power Parity (PPP) is an economic theory and index that adjusts exchange rates to reflect the relative purchasing power of currencies in their home countries, enabling more accurate economic comparisons.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3306

Question 4264

Which vaccine is typically administered via the 'Oral' route (OPV)?

Hepatitis B
Tetanus
Polio✔️
Measles

Correct Answer Logic:

The Sabin vaccine is an oral polio vaccine; the Salk vaccine is an injection.

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Planning QUESTION #5007

Question 4265

Which zoning technique allows density bonuses in exchange for public amenities?

Euclidean zoning
Performance zoning
Incentive zoning✔️
Floating zones

Correct Answer Logic:

Incentive zoning offers developers increased density, height, or FAR in exchange for providing public benefits (parks, affordable housing, transit improvements), balancing private development rights with public amenity provision—widely used in major cities like New York.

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Contracts QUESTION #5856

Question 4266

An Owner leaves a watch at a Jewelry Store for repair. The Jeweler (who also sells watches) accidentally sells it to a regular customer. Can the Owner get the watch back from the customer?

Yes, because the Jeweler didn't own the watch.
No, the customer is a 'Buyer in the Ordinary Course of Business'.✔️
Yes, because the customer should have checked the serial number.
No, unless the customer knew the watch was used.

Correct Answer Logic:

Under the 'Entrustment Rule' (UCC §2-403(2)), entrusting goods to a merchant who deals in goods of that kind gives the merchant power to transfer all rights to a buyer in the ordinary course of business.

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Mathematics QUESTION #977

Question 4267

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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English QUESTION #8487

Question 4268

Select the word SIMILAR in meaning to: Cumbersome

Awkward✔️
Decline
Handsome
Beautiful

Correct Answer Logic:

Cumbersome means awkward or difficult to handle.

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Urdu QUESTION #5261

Question 4269

'سیدالشہداء' قواعد کی رو سے کیا ہے؟

خطاب
خاص
لقب✔️
عرف

Correct Answer Logic:

سیدالشہداء ایک لقب ہے جو کسی خاص صفت یا شہادت کی وجہ سے دیا جاتا ہے۔

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General Knowledge QUESTION #4701

Question 4270

Who was the President of Venezuela in 1989?

Raul Alfonsin
Daniel Ortega
Carlos Andrés Pérez✔️
Augusto Pinochet

Correct Answer Logic:

Carlos Andrés Pérez served as President of Venezuela from 1989 to 1993 during his second term in office.

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Mathematics QUESTION #6962

Question 4271

Given $x=\sin^{-1}(\sin 10)$ and $y=\cos^{-1}(\cos 10)$, find $y-x$.

10
$7\pi$
$\pi$✔️

Correct Answer Logic:

Note $10$ radians. Since $3\pi\approx9.42$ and $4\pi\approx12.57$: $3\pi<10<4\pi$.

For $x$: $\sin^{-1}(\sin10)$. Principal range $[-\pi/2,\pi/2]$. $10\approx10-3\pi\approx0.58$, but $10-(3\pi)\approx0.58<\pi/2$? $3\pi\approx9.42$, $10-3\pi\approx0.58$. Since $\sin(10)=\sin(\pi-(10-3\pi))=\sin(4\pi-10)$... more carefully: $10 = 3\pi + (10-3\pi)$, $\sin(10)=\sin(3\pi+(10-3\pi))=-\sin(10-3\pi)$. So $x=\sin^{-1}(-\sin(10-3\pi))=-(10-3\pi)=3\pi-10$.

For $y$: $\cos^{-1}(\cos10)$, range $[0,\pi]$. $10-3\pi\approx0.58\in[0,\pi]$, so $y=10-3\pi$... wait: $\cos(10)=\cos(4\pi-10)$ and $4\pi-10\in[0,\pi]$. So $y=4\pi-10$.

$y-x=(4\pi-10)-(3\pi-10)=\mathbf{\pi}$

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English QUESTION #2717

Question 4272

Find the correctly spelled word:

Occurrence✔️
Ocurence
Occurence
Occurance

Correct Answer Logic:

'Occurrence' is spelled with double 'c' and double 'r'.

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General Knowledge QUESTION #4682

Question 4273

General Augusto Pinochet is best identified as which of the following?

Leader of Contras in Nicaragua
Military Dictator of El Salvador
President of Chile✔️
Prime Minister of Argentina

Correct Answer Logic:

General Augusto Pinochet was the military dictator who ruled Chile from 1973 to 1990 following a coup against Salvador Allende.

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HR and Management QUESTION #6447

Question 4274

The six basic HRM functions that must be performed regardless of organization size include all EXCEPT:

Staffing and human resource development
Compensation and benefits
Marketing and sales operations✔️
Safety and health

Correct Answer Logic:

The six basic HRM functions are: (1) Staffing, (2) HR development, (3) Compensation and benefits, (4) Safety and health, (5) Employee and labor relations, (6) Records maintaining and HR research. Marketing and sales are separate organizational functions, not core HRM responsibilities.

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English QUESTION #8392

Question 4275

Expedite means:

expedition
hasten✔️
expedient
practical

Correct Answer Logic:

Expedite means to speed up or hasten.

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Accounting & Finance QUESTION #6172

Question 4276

A firm's 'Market/Book' ratio is less than 1.0. What might this indicate to an investor?

The stock is potentially overvalued
The firm is generating massive EVA
Equity investors regard the company's value as less than its accounting book value✔️
The firm has zero debt

Correct Answer Logic:

A ratio below 1.0 suggests the market values the firm's assets at less than their historical cost recorded on the balance sheet.

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Physics QUESTION #4416

Question 4277

If the length of a conductor is made 4 times its original length, its resistance becomes:

Quarter
Half
Zero
4 times✔️

Correct Answer Logic:

Resistance $R = \dfrac{\rho L}{A}$. Since $R \propto L$ (at constant cross-sectional area and resistivity), if $L$ becomes $4L$, then $R$ becomes $4R$. The resistance becomes $\mathbf{4}$ times the original.

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Mathematics QUESTION #7436

Question 4278

Let $\vec{a}, \vec{b}$ and $\vec{c}$ be three non-zero vectors such that no two of them are collinear and $(\vec{a} \times \vec{b}) \times \vec{c} = \frac{1}{3}|\vec{b}||\vec{c}|\vec{a}$. If θ is the angle between vectors $\vec{b}$ and $\vec{c}$, then a value of sin θ is:

$\frac{2\sqrt{2}}{3}$✔️
$\frac{-\sqrt{2}}{3}$
$\frac{2}{3}$
$\frac{-2\sqrt{3}}{3}$

Correct Answer Logic:

Using the vector triple product formula: $(\vec{a} \times \vec{b}) \times \vec{c} = (\vec{a} \cdot \vec{c})\vec{b} - (\vec{b} \cdot \vec{c})\vec{a}$. Given this equals $\frac{1}{3}|\vec{b}||\vec{c}|\vec{a}$, we have $(\vec{a} \cdot \vec{c})\vec{b} - (\vec{b} \cdot \vec{c})\vec{a} = \frac{1}{3}|\vec{b}||\vec{c}|\vec{a}$. Since $\vec{a}$ and $\vec{b}$ are non-collinear, comparing coefficients: $\vec{b} \cdot \vec{c} = -\frac{1}{3}|\vec{b}||\vec{c}|$, which gives $\cos\theta = -\frac{1}{3}$. Therefore, $\sin\theta = \sqrt{1-\cos^2\theta} = \sqrt{1-\frac{1}{9}} = \sqrt{\frac{8}{9}} = \frac{2\sqrt{2}}{3}$.

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Administration QUESTION #9595

Question 4279

A Work Cell layout clusters dissimilar machines into a 'cell' that completes an entire family of parts. Compared to a process layout, which specific performance improvement does a work cell most directly achieve?

Higher machine utilization rates — because work cells consolidate all machines in one area, reducing idle time across the plant
Reduced setup time, lower work-in-process inventory, faster throughput and simpler scheduling — because related parts move through a dedicated cell without travelling across the plant to different functional departments✔️
Greater product variety — because work cells can be reconfigured more quickly than functional departments
Elimination of quality defects — because cellular manufacturing assigns quality responsibility to a team rather than distributing it across functional departments

Correct Answer Logic:

Work cells (cellular manufacturing) achieve lean production benefits by: (1) grouping machines that process a part family into one cell, (2) eliminating inter-department travel and queuing, (3) reducing WIP inventory, (4) simplifying scheduling to within-cell routing, and (5) reducing setup times through part family similarity. Machine utilization may actually be lower (cells have dedicated machines that may idle), but throughput time and WIP improvements are the primary benefits.

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Home Economics QUESTION #6250

Question 4280

Which document serves as proof of purchase and is essential for consumer complaints?

Catalog
Brochure
Cash Memo/Receipt✔️
Warranty Card

Correct Answer Logic:

A receipt is the legal evidence of a transaction between a buyer and a seller.

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