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Mathematics QUESTION #11167
Question 5421
$f:\mathbb{R}\to(-1,1)$ defined by $f(x) =$ __________ is bijective.
  • $\dfrac{x}{1-|x|}$
  • $\dfrac{x}{1+|x|}$βœ”οΈ
  • $\dfrac{1}{1+|x|}$
  • $\dfrac{x}{-1+|x|}$
Correct Answer Logic:
The function $f(x) = \dfrac{x}{1+|x|}$ maps $\mathbb{R}$ bijectively onto $(-1,1)$. It is injective (one-to-one) since $f'(x) > 0$ everywhere, and surjective onto $(-1,1)$ since $\lim_{x\to\pm\infty} f(x) = \pm 1$ (not attained). The inverse is $f^{-1}(y) = \dfrac{y}{1-|y|}$.
Uploaded by: Fani Warraich
Planning QUESTION #4960
Question 5422
In demography, what does 'Dependency Ratio' measure?
  • Ratio of workers to unemployed
  • Ratio of non-working to working populationβœ”οΈ
  • Ratio of urban to rural population
  • Ratio of births to deaths
Correct Answer Logic:
Dependency Ratio is calculated as $\frac{\text{Population aged 0-14 + Population aged 65+}}{\text{Population aged 15-64}} \times 100$, indicating the burden on the working-age population.
Uploaded by: Fani Warraich
Correct Answer Logic:
No explanation provided for this question.
Uploaded by: Fani Warraich
Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3502
Question 5424
'Catechu' (Katha) is primarily used in medicine as a/an:
  • Astringentβœ”οΈ
  • Antibiotic
  • Vitamin
  • Hormone
Correct Answer Logic:
Astringents cause contraction of tissues and are used for diarrhea and skin ulcers.
Uploaded by: Fani Warraich
Psychology QUESTION #9794
Question 5425
Advertisers pair attractive people or appealing locations with their products in order to:
  • Distract from the disadvantages of the product
  • Cause pleasant feelings to be evokedβœ”οΈ
  • Are part of the product's basic utilities
  • Are just elements of scenery
Correct Answer Logic:
This uses classical conditioning: repeatedly pairing a product (neutral stimulus) with an attractive image (unconditioned stimulus) transfers positive emotions to the product. The goal is to evoke pleasant feelings associated with the brand.
Uploaded by: Fani Warraich
General Science and Ability QUESTION #188
Question 5426
Global winds towards western direction are known as:
  • Trade windsβœ”οΈ
  • Western winds
  • Reynolds wind
  • None of these
Correct Answer Logic:
Trade winds (easterlies) blow from east to west toward the equator.
Uploaded by: Fani Warraich
Physics QUESTION #1188
Question 5427
The concept of mutual frame of reference was used in:
  • Reduced mass correction in spectroscopyβœ”οΈ
  • Radioactivity
  • Relative nuclear stability
  • None of these
Correct Answer Logic:
The concept of reduced mass (a mutual/center-of-mass frame correction) is used in spectroscopy. When two bodies orbit their common center of mass (e.g., electron and nucleus in hydrogen), the effective mass is the reduced mass \(\mu = \frac{m_1 m_2}{m_1 + m_2}\). This corrects the Rydberg formula for finite nuclear mass, explaining isotope shifts in spectral lines.
Uploaded by: Fani Warraich
Correct Answer Logic:

  Using the Desired-Available formula for drug dosage calculation:

  \[   \text{Tablets} = \frac{\text{Desired dose}}{\text{Available dose per tablet}}   = \frac{0.25 \text{ mg}}{0.125 \text{ mg per tablet}} = 2 \text{ tablets}   \]

  Critical nursing points for Digoxin:

  •  
  • Assess apical pulse for 1 full minute before administering
  •  
  • Withhold and notify physician if pulse < 60 bpm (adults) or < 100 bpm (infants)
  •  
  • Therapeutic range: \( 0.5\text{–}2.0 \text{ ng/mL} \)
  •  
  • Toxicity signs: bradycardia, nausea/vomiting, visual disturbances (yellow-green halos), arrhythmias
  •  
  • Hypokalemia increases digoxin toxicity risk
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Maths QUESTION #4544
Question 5429
What is $\frac{2}{5} \div \frac{3}{4}$?
  • $\frac{6}{20}$
  • $\frac{8}{15}$βœ”οΈ
  • $\frac{3}{10}$
  • $\frac{5}{6}$
Correct Answer Logic:
$\frac{2}{5} \div \frac{3}{4} = \frac{2}{5} \times \frac{4}{3} = \frac{8}{15}$
Uploaded by: Fani Warraich
Psychology QUESTION #9719
Question 5430
Which division of the autonomic nervous system conserves energy by slowing heart rate, stimulating digestion, and promoting a 'rest and digest' state?
  • Somatic nervous system
  • Sympathetic division
  • Parasympathetic divisionβœ”οΈ
  • Central nervous system
Correct Answer Logic:
The parasympathetic division of the autonomic nervous system promotes the 'rest and digest' state. It slows heart rate, lowers blood pressure, stimulates digestive activity, and conserves bodily resources. This contrasts with the sympathetic division, which triggers the 'fight or flight' response by mobilizing energy in threatening situations.
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Dairy Food Science and Technology QUESTION #5941
Question 5431
Lactose intolerance occurs due to deficiency of which enzyme in the small intestine?
  • Lactase (\(\beta\)-galactosidase)βœ”οΈ
  • Sucrase
  • Lipase
  • Amylase
Correct Answer Logic:
Lactose intolerance results from insufficient lactase (\(\beta\)-galactosidase) in the small intestinal brush border. Undigested lactose reaches the colon and is fermented by colonic bacteria producing short-chain fatty acids, \(\text{H}_2\), \(\text{CO}_2\), and \(\text{CH}_4\), causing bloating, flatulence, cramping, and diarrhea.
Uploaded by: Fani Warraich
Journalism / Mass Communication QUESTION #6403
Question 5432
The textbook lists several effects of communication on human society. Which of the following effects is described as being observable even 'beyond the limits of time and space'?
  • Relaxation and entertainment
  • Communication effects that extend beyond present activities β€” ideas generated at one time in history may be materialised in physical form at another stage; scientific discoveries accumulate across generationsβœ”οΈ
  • The immediate relationship-building effect between individuals
  • The persuasion effect of political speeches on immediate audiences
Correct Answer Logic:

The textbook makes a philosophically profound point about the temporal dimensions of communication effects: “Effects of communication are not limited to present day activities but as a matter of fact they go beyond the limits of time and space.” The primary example given is scientific discovery: many scientists who theorised about electromagnetic waves in the 19th century could not prove their theories in their lifetimes, yet they communicated their ideas through publications. Other scientists built on this accumulated communication, eventually enabling inventions like radio. This illustrates how a single communicative act (a scientist's paper, an artist's manuscript, a philosopher's treatise) can have effects across centuries. The textbook gives another example: a medical researcher sharing a small discovery that, through the global communication network, reaches scientists thousands of miles away and contributes to a cure for a disease. Communication, therefore, is cumulative across time and space.

Uploaded by: Fani Warraich
Maths QUESTION #4592
Question 5433
What is $5(2x + 3)$?
  • $10x + 3$
  • $7x + 8$
  • $10x + 15$βœ”οΈ
  • $10x^2 + 15x$
Correct Answer Logic:
Distribute: $5(2x + 3) = 5 \times 2x + 5 \times 3 = 10x + 15$
Uploaded by: Fani Warraich
Physics QUESTION #7313
Question 5434

A particle moves such that $x = (t+5)^{-1}$. The acceleration of the particle is proportional to:

  • $(\text{velocity})^{2/3}$
  • $(\text{velocity})^{3/2}$βœ”οΈ
  • $(\text{distance})^{2}$
  • $(\text{distance})^{-2}$
Correct Answer Logic:

$v = \dfrac{dx}{dt} = -(t+5)^{-2}$, so $(t+5) = (-v)^{-1/2}$

$a = \dfrac{dv}{dt} = 2(t+5)^{-3} = 2(-v)^{3/2}$

Therefore $a \propto \mathbf{(\text{velocity})^{3/2}}$

Uploaded by: Fani Warraich
General Intelligence/Ability QUESTION #3970
Question 5435
A $132$-inch wire is shaped into various geometric forms. Which of the following shapes will enclose the greatest surface area?
  • Circleβœ”οΈ
  • Square
  • Regular Hexagon
  • Equilateral Triangle
Correct Answer Logic:
No explanation provided for this question.
Uploaded by: Fani Warraich
Molecular Biology / Bioinformatics / Biochemistry QUESTION #11065
Question 5436
Savannahs are best described as:
  • Tropical rain forests
  • Dense forests with a closed canopy
  • Grasslands with scattered treesβœ”οΈ
  • Grasslands with closely grown trees
Correct Answer Logic:
Savannahs are tropical or subtropical grasslands with scattered, widely spaced trees and shrubs. They are characterised by a continuous grass layer and an open tree canopy (covering 10–30% of the ground). Savannahs experience distinct wet and dry seasons. They cover ~20% of Earth's land surface and are found in Africa (Serengeti), South America (Cerrado), and Australia. They differ from tropical rainforests (closed canopy, high rainfall) and temperate grasslands (no trees).
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Mathematics QUESTION #1316
Question 5437
The boundary value problem \(u_{xx}+u_{yy}=0\) with \(u=0\) on three sides and \(u(x,b)=f(x)\) is solved by the method of:
  • Finite differences
  • Separation of variablesβœ”οΈ
  • Euler's method
  • Newton-Raphson
Correct Answer Logic:
The Laplace equation \(u_{xx}+u_{yy}=0\) on a rectangle with homogeneous Dirichlet conditions on three sides is a classic problem solved by separation of variables. Assuming \(u(x,y)=X(x)Y(y)\) and applying boundary conditions leads to a Fourier sine series solution.
Uploaded by: Fani Warraich
Verbal Reasoning QUESTION #8174
Question 5438

Given that $st = \sqrt{10}$, compare:

Quantity A: $s^2$

Quantity B: $\dfrac{10}{t^2}$

  • Quantity A is greater
  • Quantity B is greater
  • The two quantities are equalβœ”οΈ
  • The relationship cannot be determined from the information given
Correct Answer Logic:

From $st = \sqrt{10}$, squaring both sides: $(st)^2 = 10$, so $s^2 t^2 = 10$.

Therefore $s^2 = \dfrac{10}{t^2}$.

Quantity A $= s^2 = \dfrac{10}{t^2} =$ Quantity B.

The two quantities are equal.

Uploaded by: Fani Warraich
Geography QUESTION #6340
Question 5439
In urban geography, 'gentrification' is best defined as:
  • Government-led urban renewal and slum clearance
  • Private reinvestment in deteriorating neighborhoods leading to displacement of lower-income residentsβœ”οΈ
  • Suburbanization of middle-class populations
  • Construction of luxury high-rise apartments
Correct Answer Logic:
Gentrification involves private capital reinvestment rehabilitating deteriorating inner-city neighborhoods, increasing property values, attracting higher-income residents, and displacing original lower-income inhabitants through rising rents and property taxes.
Uploaded by: Fani Warraich
Correct Answer Logic:
Lactase deficiency (common in adults of many populations after weaning) prevents hydrolysis of the disaccharide lactose; undigested lactose passes into the colon where bacterial fermentation produces gas and an osmotic load, causing the classic symptoms of lactose intolerance.
Uploaded by: Fani Warraich