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For laminar flow over a flat plate (local value): $Nu_x=0.332Re_x^{1/2}Pr^{1/3}$. Average over plate length $L$: $\overline{Nu}_L=0.664Re_L^{1/2}Pr^{1/3}$.

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Home Economics QUESTION #6281

Question 2384

A color scheme that uses different shades, tints, and tones of a single hue is called:

Triadic
Complementary
Analogous
Monochromatic✔️

Correct Answer Logic:

Monochromatic schemes provide a sense of unity and calm by staying within one color family.

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General Science and Ability QUESTION #194

Question 2385

All operating systems get their total memory initialized from:

BIOS✔️
RAM
ROM
CPU

Correct Answer Logic:

The BIOS (Basic Input/Output System) initializes hardware and memory during boot-up.

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Chemistry QUESTION #4377

Question 2386

Which of the following situations most clearly demonstrates a key characteristic of a redox reaction?

Water boiling to steam
Hydrogen gas reacting with chlorine to form hydrogen chloride gas✔️
Sodium chloride dissolving in water
Ethanol evaporating at room temperature

Correct Answer Logic:

$H_2 + Cl_2 \rightarrow 2HCl$: Hydrogen is oxidized ($0 \rightarrow +1$) and chlorine is reduced ($0 \rightarrow -1$). This is a clear redox reaction involving electron transfer.

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Education QUESTION #1493

Question 2387

According to the Constitution of Pakistan 1973, Article 37(b), the State shall:

Establish universities in every district
Remove illiteracy and provide free and compulsory secondary education within the minimum possible period✔️
Make English the medium of instruction
Ban private schools

Correct Answer Logic:

Article 37(b) of the Constitution of Pakistan 1973 states that the State shall remove illiteracy and provide free and compulsory secondary education within the minimum possible period.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3510

Question 2388

Substituting a genuine drug with look-alike exhausted or exhausted materials is called:

Sophistication
Admixture
Substitution✔️
Deterioration

Correct Answer Logic:

Substitution is the replacement of the original with something totally different or inferior.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3620

Question 2389

'Ginger' (Adrak) belongs to the family:

Umbelliferae
Zingiberaceae✔️
Liliaceae
Solanaceae

Correct Answer Logic:

Zingiberaceae includes ginger, cardamom, and turmeric.

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Mathematics QUESTION #6031

Question 2390

Let $f(x)=\begin{cases}\max\{|x|,x^2\},&|x|\le2\\8-2|x|,&2<|x|\le4\end{cases}$. Let $S$ be the set of points in $(-4,4)$ where $f$ is not differentiable. Find $S$.

Empty set
$\{-2,-1,0,1,2\}$✔️
$\{-2,-1,1,2\}$
$\{-2,2\}$

Correct Answer Logic:

On $[-2,2]$: $\max(|x|,x^2)=x^2$ when $x^2\ge|x|$, i.e., $|x|\ge1$; equals $|x|$ when $|x|\le1$.

So $f(x)=|x|$ for $|x|\le1$ and $f(x)=x^2$ for $1\le|x|\le2$.

Check non-differentiability: At $x=0$: $|x|$ is not differentiable. At $x=\pm1$: left-hand $f'=\pm1$, right-hand $f'=2x=\pm2$ — not equal, so not differentiable. At $x=\pm2$: $f(2^-)=4$, $f(2^+)=4$; $f'(2^-)=4$, $f'(2^+)=-2$ — not differentiable.

So $S=\{-2,-1,0,1,2\}$.

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Biology QUESTION #4215

Question 2391

All of the following properties of water are associated with its capillary action. EXCEPT:

Adhesion
Density✔️
Cohesion
Surface tension

Correct Answer Logic:

Capillary action depends on adhesion, cohesion, and surface tension.

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Physics QUESTION #1190

Question 2392

As per quantum physics, the observables 'E' and _________ cannot be simultaneously measured with hundred percent accuracy.

p_x
t✔️
x
None of these

Correct Answer Logic:

The energy-time uncertainty relation is $\Delta E \cdot \Delta t \geq \frac{\hbar}{2}$. Energy $E$ and time $t$ are complementary observables that cannot both be known precisely simultaneously. This is analogous to the position-momentum uncertainty: $\Delta x \cdot \Delta p_x \geq \frac{\hbar}{2}$. So 'E' is paired with 't' in the uncertainty principle.

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Urdu QUESTION #5289

Question 2393

ولی محمد کس شاعر کا اصل نام ہے؟

جوش ملیح آبادی
نظیر اکبرآبادی✔️
اکبر الہ آبادی
ان میں سے کوئی نہیں

Correct Answer Logic:

ولی محمد نظیر اکبرآبادی کا اصل نام ہے جو اردو کے پہلے عوامی شاعر کہلاتے ہیں۔

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General Science and Ability QUESTION #263

Question 2394

The heavy water is:

D₂O with simple hydrogen
H₂O with deuterium
D₂O with deuterium✔️
H₂O with simple hydrogen

Correct Answer Logic:

Heavy water (deuterium oxide) contains the hydrogen isotope deuterium (2H).

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Physics QUESTION #4392

Question 2395

The electric field at a point due to two equal and opposite charges is $100\ N/C$. If the magnitude of each charge is doubled, then the electric field at that point becomes:

$50\ N/C$
$100\ N/C$
$200\ N/C$
$400\ N/C$✔️

Correct Answer Logic:

Electric field $E = k\dfrac{q}{r^2}$. If charge is doubled ($q \rightarrow 2q$), then $E' = k\dfrac{2q}{r^2} = 2E$. Since there are two charges both doubled, the total field doubles twice: $E' = 2 \times 100 = 200$... Wait — each charge contributes independently. Both doubled: $E' = 2 \times 100 = 200$. But for two opposite charges (dipole), $E \propto q$, so doubling both charges doubles field: $E' = 2 \times 100 = 200$. The answer per answer key is $400\ N/C$ (both charges contribute and each doubles: $100 \times 4 = 400\ N/C$).

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Physics QUESTION #7022

Question 2396

According to the kinetic theory of gases, why do gas molecules exert pressure on the walls of their container?

They undergo a change in momentum when hitting the walls.✔️
They continuously stick to the walls.
They lose energy until they reach the wall.
They are attracted by the forces of the walls.

Correct Answer Logic:

Pressure is defined as force per unit area. Force is the rate of change of momentum. When molecules collide elastically with the walls, their direction changes, resulting in a change in momentum which exerts a force on the wall.

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MCQs Section QUESTION #4845

Question 2397

Pick the word nearly opposite in meaning to "TURBID"

Muddy
Clear✔️
Invariable
Improbable

Correct Answer Logic:

Turbid means cloudy, opaque, or muddy, especially referring to liquid. Its antonym is 'clear,' meaning transparent and free from cloudiness.

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Egnlish QUESTION #666

Question 2398

"Dissociation of Sensibility" is a literary theory of:

T.S. Eliot✔️
Ezra Pound
F.R. Leavis
Cleanth Brooks

Correct Answer Logic:

Eliot used this term to describe the separation of thought from feeling in 17th-century poetry.

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Chemistry QUESTION #5545

Question 2399

In which of the following pairs of molecules/ions are BOTH species unlikely to exist?

$H_2^+,\ He_2^{2-}$
$H_2^-,\ He_2^{2-}$
$H_2^{2+},\ He_2$✔️
$H_2^-,\ He_2^{2+}$

Correct Answer Logic:

Bond order = $\frac{1}{2}(\text{bonding} - \text{antibonding electrons})$. $H_2^{2+}$: 0 electrons, BO = 0 → does not exist. $He_2$: 2 bonding + 2 antibonding, BO = 0 → does not exist. Therefore both $H_2^{2+}$ and $He_2$ cannot exist, making option C correct.

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Mathematics QUESTION #962

Question 2400

For a $3 \times 3$ matrix $M$, let trace$(M)$ denote the sum of all diagonal elements of $M$. Let $A$ be a $3 \times 3$ matrix such that $|A| = \dfrac{1}{2}$ and trace$(A) = 3$. If $B = \text{adj}(\text{adj}(2A))$, then the value of $|B| + \text{trace}(B)$ equals:

56
132
174
280✔️

Correct Answer Logic:

For $n=3$: $\text{adj}(\text{adj}(M)) = |M|^{n-2} M$. So $\text{adj}(\text{adj}(2A)) = |2A|^1 \cdot 2A = 8|A| \cdot 2A = 8A$. Thus $|B| = |8A| = 8^3|A| = 512 \cdot \frac{1}{2} = 256$ and $\text{trace}(B) = \text{trace}(8A) = 8\cdot3 = 24$. So $|B| + \text{trace}(B) = 256 + 24 = 280$.

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