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The critical density (typically 50-60 vehicles/km/lane depending on conditions) represents the transition from stable flow to unstable stop-and-go traffic. Beyond this density, small disturbances propagate as shockwaves, creating congestion—basis for traffic management strategies.

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Chemistry QUESTION #7387

Question 6

Among the isoelectronic species $\text{O}^{2-}$, $\text{F}^-$, $\text{Na}^+$, $\text{Mg}^{2+}$ and $\text{Al}^{3+}$, their ionic radii show which trend?

An increase from $\text{O}^{2-}$ to $\text{F}^-$ then decrease from $\text{Na}^+$ to $\text{Al}^{3+}$
A decrease from $\text{O}^{2-}$ to $\text{F}^-$ then increase from $\text{Na}^+$ to $\text{Al}^{3+}$
A significant overall increase from $\text{O}^{2-}$ to $\text{Al}^{3+}$
A significant overall decrease from $\text{O}^{2-}$ to $\text{Al}^{3+}$✔️

Correct Answer Logic:

Isoelectronic species all have 10 electrons. Their size depends on nuclear charge:

$\text{O}^{2-}(Z=8) > \text{F}^-(Z=9) > \text{Na}^+(Z=11) > \text{Mg}^{2+}(Z=12) > \text{Al}^{3+}(Z=13)$

More protons = stronger pull on same electron cloud = smaller radius. There is a steady significant decrease across the series. No increase occurs — all species have the same number of electrons but increasing nuclear charge.

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Psychology QUESTION #11364

Question 7

When sunlight is made to pass through a prism, we see:

white light
the spectrum of hues✔️
desaturated colors
the complete color circle

Correct Answer Logic:

When sunlight passes through a prism, we see the spectrum of hues.

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Pakistan Affairs QUESTION #9065

Question 8

Which is the highest civil award of Pakistan?

Sitara-e-Shujaat
Hilal-e-Shujaat
Nishan-e-Pakistan✔️
Tamgha-e-Shujaat

Correct Answer Logic:

Nishan-e-Pakistan is the highest civilian award.

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Planning QUESTION #4976

Question 9

In Net Present Value (NPV) calculation, if discount rate increases from 5% to 10%, the NPV will:

Increase
Decrease✔️
Remain constant
Double

Correct Answer Logic:

NPV formula $NPV = \sum_{t=0}^{n} \frac{C_t}{(1+r)^t}$ shows inverse relationship with discount rate $r$. Higher discount rate reduces present value of future cash flows, decreasing NPV. This reflects higher opportunity cost of capital.

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Planning QUESTION #4916

Question 10

In transportation planning, what does TAZ stand for?

Traffic Analysis Zones✔️
Transport Assessment Zones
Topographical Area Zones
Transit Accessibility Zones

Correct Answer Logic:

TAZ (Traffic Analysis Zones) are fundamental units used in transportation planning to divide a study area into homogeneous zones for analyzing travel patterns and trip generation.

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Therapeutics and Patient Care QUESTION #3866

Question 11

Which of the following antimicrobial agents is typically not recommended for patients under $12$ years of age due to safety concerns?

Norfloxacin✔️
Amoxicillin
Azithromycin
Rifampicin

Correct Answer Logic:

Fluoroquinolones like norfloxacin are generally avoided in children under $12$ due to risk of arthropathy and cartilage damage.

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Maths QUESTION #4588

Question 12

If $a:b = 1:2$ and $b:c = 3:4$, find $a:b:c$:

$1:2:4$
$3:6:8$✔️
$1:3:4$
Both B and C

Correct Answer Logic:

Make $b$ equal in both ratios: $a:b = 3:6$ and $b:c = 6:8$. So $a:b:c = 3:6:8$

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Maths QUESTION #7948

Question 13

A 100-metre long train passes a bridge at 72 km/hr in 25 seconds. What is the length of the bridge?

400 m✔️
170 m
600 m
None

Correct Answer Logic:

Speed $= 72 \text{ km/hr} = 72 \times \dfrac{1000}{3600} = 20 \text{ m/s}$
Total distance covered in 25 s $= 20 \times 25 = 500$ m
Length of bridge $= 500 - 100 = 400$ m

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Mathematics QUESTION #11218

Question 14

$\displaystyle\int_{-1}^{2}(x+|x|)\,dx =$

$0$
$4$✔️
$2$
$6$

Correct Answer Logic:

Split at $x=0$: $\int_{-1}^{0}(x+|x|)\,dx + \int_{0}^{2}(x+|x|)\,dx$. For $x\in[-1,0]$: $|x|=-x$, so $x+|x|=0$. Integral $=0$. For $x\in[0,2]$: $|x|=x$, so $x+|x|=2x$. $\int_0^2 2x\,dx = [x^2]_0^2 = 4$. Total $= 0+4 = \mathbf{4}$.

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Math Physics Chemistry Biology QUESTION #561

Question 15

How much water approximately is required to excrete 1 kg of ammonia nitrogen?

500 ml
5 litre
300 litre
500 litre✔️

Correct Answer Logic:

~500 liters of water needed to excrete 1 kg ammonia

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Chemistry QUESTION #7110

Question 16

Given the half-cell reactions:
1. $Mn^{2+} + 2e^{-} \rightarrow Mn$; $E^{0} = -1.18\text{ V}$
2. $Mn^{3+} + e^{-} \rightarrow Mn^{2+}$; $E^{0} = +1.51\text{ V}$
Determine the $E^{0}$ for the disproportionation reaction $3Mn^{2+} \rightarrow Mn + 2Mn^{3+}$ and its feasibility.

-0.33 V; non-spontaneous
-0.33 V; spontaneous
-2.69 V; non-spontaneous✔️
-2.69 V; spontaneous

Correct Answer Logic:

The target reaction is $3Mn^{2+} \rightarrow Mn + 2Mn^{3+}$. This is the sum of:
Reduction: $Mn^{2+} + 2e^{-} \rightarrow Mn$ ($E^{0}_{red} = -1.18\text{ V}$)
Oxidation: $2Mn^{2+} \rightarrow 2Mn^{3+} + 2e^{-}$ ($E^{0}_{ox} = -1.51\text{ V}$)
$E^{0}_{cell} = E^{0}_{cathode} - E^{0}_{anode} = -1.18 - 1.51 = -2.69\text{ V}$. Since $E^{0}_{cell}$ is negative, the reaction is non-spontaneous.

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Molecular Biology / Bioinformatics / Biochemistry QUESTION #11087

Question 17

The enlarged, ripened ovary wall enclosing seeds is botanically called a:

Ovule
Seed
Fruit✔️
Cotyledon

Correct Answer Logic:

A fruit is the mature, ripened ovary (or group of ovaries) of a flowering plant (angiosperm), typically containing the seeds. After fertilisation, the ovary wall (pericarp) develops into the fruit wall. The pericarp has three layers: exocarp (outer skin), mesocarp (fleshy middle), and endocarp (inner layer). An ovule becomes a seed after fertilisation; a seed is the mature ovule; a cotyledon is the seed leaf within the embryo.

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Aptitude QUESTION #10965

Question 18

The Villa Savoye in Poissy, France, exemplifies Le Corbusier's 'Five Points of Architecture'. Which of the following is NOT one of those five points?

Pilotis (stilts lifting building off ground)
Free facade (non-structural exterior walls)
Flat roof with garden
Exposed structural concrete (béton brut)✔️

Correct Answer Logic:

Le Corbusier's Five Points of a New Architecture (1927):

Pilotis — columns lifting the building off the ground ✓
Free plan — open floor plan enabled by structural columns ✓
Free facade — non-load-bearing exterior walls ✓
Horizontal windows (ribbon windows) — long panoramic windows ✓
Roof garden (flat roof with terrace garden) ✓

Exposed concrete (béton brut) is associated with Brutalism (a later movement). Le Corbusier used it but it's not one of the original Five Points.

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Library Sciences QUESTION #1560

Question 19

In library cataloguing, a 'main entry' under AACR2 is defined as:

The first subject heading assigned to a work
The complete bibliographic record under which a work is primarily listed, traditionally under the principal author's name✔️
The call number assigned to a physical item
The title page transcription of a work

Correct Answer Logic:

Under AACR2, the main entry is the primary access point in a catalogue record under which the complete bibliographic description is entered — traditionally the personal author, corporate body, or title (if authorship is diffuse or unknown). It determines the primary location of the record in an alphabetical catalogue.

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Journalism / Mass Communication QUESTION #6413

Question 20

According to the textbook, the first public film screening in the Western world was held by the Lumière Brothers at which location and in which year?

Kinetoscope Parlour, New York City, USA, 1893
Grand Café, Paris, France, December 1895✔️
Watson Hotel, Bombay, India, July 1896
Nickelodeon Theatre, Pittsburgh, USA, 1905

Correct Answer Logic:

The textbook states: “The Lumière Brothers of France exhibited their short films in December 1895 at Grande Cafe, Paris.” This is widely recognised as the world's first public commercial film screening. Key film history milestones to distinguish:

1877: Eadweard Muybridge's sequential photos of a horse (establishing the optical principles)
1889: Thomas Edison developed the Kinetograph camera and Kinetoscope (peepshow viewer — for one person at a time)
1893: Kinetoscope marketed in penny arcades (NOT a public projection)
December 1895: Lumière Brothers' Cinématographe first public screening, Grand Café, Paris (the true birth of cinema as a group experience)
1896: Lumières brought films to India (Watson Hotel, Bombay, 7 July 1896)
1905: First movie theatre (nickelodeon) opened in Pittsburgh

The distinction between Edison's individual-viewer Kinetoscope and the Lumières' projected Cinématographe is crucial: only the latter created cinema as a shared social experience.

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