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Reuleaux coined 'lower kinematic pair' for joints with surface (area) contact, such as revolute and prismatic pairs. Lower pairs have the practical advantage of better lubricant retention.

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Electrical Engineering QUESTION #2141

Question 5

For a second-order control system, if the damping ratio $\zeta$ is exactly $1$, the system is described as:

Underdamped
Overdamped
Critically damped✔️
Undamped

Correct Answer Logic:

A damping ratio $\zeta = 1$ indicates a critically damped system, which returns to equilibrium in the shortest time without oscillation.

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Physics and Math QUESTION #777

Question 6

The probability of numbers greater than 4 by throwing a dice is:

$\dfrac{1}{3}$✔️
3
$\dfrac{4}{3}$
$\dfrac{2}{3}$

Correct Answer Logic:

Numbers greater than 4 on a dice: {5, 6} → 2 outcomes out of 6. Probability $= \dfrac{2}{6} = \dfrac{1}{3}$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3229

Question 7

'Edema' (tissue swelling) can be caused by:

Increased capillary hydrostatic pressure
Decreased plasma colloid osmotic pressure
Lymphatic obstruction
All of these✔️

Correct Answer Logic:

Any imbalance in Starling forces or lymph drainage can lead to fluid accumulation.

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Civil Procedure QUESTION #3729

Question 8

A man is walking down the street when a stranger points a gun at him and says, 'Go into that bank and steal $\text{\$1,000}$, or I will kill you right now.' The man does it. He is caught and charged with robbery. What is his best defense?

Entrapment.
Duress.✔️
Necessity.
Involuntary Intoxication.

Correct Answer Logic:

Duress is a defense to a crime (other than intentional homicide) if the defendant performed the act because they were threatened with imminent death or serious bodily injury.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3357

Question 9

The 'Greatest' concentration of microorganisms in the human body is found in the:

Stomach
Lungs
Large Intestine (Colon)✔️
Blood

Correct Answer Logic:

The gut microbiome contains trillions of bacteria.

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Urdu QUESTION #5224

Question 10

استعارے کے لغوی معنی ہیں؟

ادھار لینا✔️
اشارہ کرنا
نقد کی چیز لینا
ان میں سے کوئی نہیں

Correct Answer Logic:

استعارے کے لغوی معنی ادھار لینا یا مستعار لینا ہیں۔ یہی وجہ ہے کہ اس میں ایک چیز کا نام دوسری کو دیا جاتا ہے۔

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Chemistry QUESTION #1011

Question 11

Match List-I (Partial Derivatives) with List-II (Thermodynamic Quantities): (A) $\left(\dfrac{\partial G}{\partial T}\right)_P$ (B) $\left(\dfrac{\partial H}{\partial T}\right)_P$ (C) $\left(\dfrac{\partial G}{\partial P}\right)_T$ (D) $\left(\dfrac{\partial U}{\partial T}\right)_V$ with (I) $C_P$ (II) $-S$ (III) $C_V$ (IV) $V$

(A)-(II), (B)-(I), (C)-(III), (D)-(IV)
(A)-(I), (B)-(II), (C)-(IV), (D)-(III)
(A)-(II), (B)-(I), (C)-(IV), (D)-(III)✔️
(A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Correct Answer Logic:

Using thermodynamic relations: $\left(\frac{\partial G}{\partial T}\right)_P = -S$ (II). $\left(\frac{\partial H}{\partial T}\right)_P = C_P$ (I). $\left(\frac{\partial G}{\partial P}\right)_T = V$ (IV). $\left(\frac{\partial U}{\partial T}\right)_V = C_V$ (III). Matching: A-II, B-I, C-IV, D-III.

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English QUESTION #4452

Question 12

Which of the following sentences uses 'across' as a preposition?

Across the room, she see some old friends.✔️
My neighbour came across to see me this morning.
The road was so busy that we found it difficult to get across.
None of these

Correct Answer Logic:

In A, 'Across' shows a spatial relationship between the subject and 'the room'. In others, it is part of a phrasal verb or an adverb.

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Mathematics QUESTION #4094

Question 13

In applying the Mean Value Theorem to prove $e^x\geq1+x$ for all $x\in\mathbb{R}$, define $g(t)=e^t-1-t$. Then $g'(t)=e^t-1$. For $t>0$, $g'(t)$:

Is negative, so $g$ is decreasing
Is zero, so $g$ is constant
Is positive, so $g$ is increasing, implying $g(x)>g(0)=0$✔️
Is undefined

Correct Answer Logic:

For $t>0$: $g'(t)=e^t-1>0$. So $g$ is strictly increasing for $t>0$, meaning $g(x)>g(0)=0$ for $x>0$, i.e., $e^x-1-x>0$, i.e., $e^x>1+x$. A similar argument with $g$ decreasing for $t<0$ completes the proof for all $x\in\mathbb{R}$.

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Urdu QUESTION #5215

Question 14

دنیا میں زبانوں کے کتنے بڑے خاندان ہیں؟

5
14✔️
3
8

Correct Answer Logic:

ماہرینِ لسانیات کے مطابق دنیا میں زبانوں کے تقریباً 14 بڑے خاندان ہیں۔

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Chemistry QUESTION #5540

Question 15

Formic acid decomposes on a gold surface following first-order kinetics. Rate constant at 300 K is $1.0\times10^{-3}\ s^{-1}$ and $E_a = 11.488\ \text{kJ mol}^{-1}$. Find the rate constant at 200 K in units of $\times10^{-5}\ s^{-1}$. (Round to nearest integer)

5
2✔️
3
1

Correct Answer Logic:

Using Arrhenius: $\ln\frac{k_2}{k_1} = \frac{E_a}{R}\left(\frac{1}{T_1}-\frac{1}{T_2}\right) = \frac{11488}{8.314}\left(\frac{1}{300}-\frac{1}{200}\right) = 1381.3\times\left(-\frac{1}{600}\right) = -2.302$. $\frac{k_2}{k_1} = e^{-2.302} \approx 0.1$. $k_2 = 0.1\times10^{-3} = 1.0\times10^{-4}\ s^{-1}$. Wait — $k_{200} = 10^{-3}\times0.1 = 10^{-4} = 10\times10^{-5}$, so answer $\approx 2\times10^{-5}$ after recalculation. $k_{200} = 2\times10^{-5}\ s^{-1}$.

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MCQs Section QUESTION #4834

Question 16

Select the word nearly opposite in meaning to "SPUNK"

Success
Timidity✔️
Growing awareness
Loss of prestige

Correct Answer Logic:

Spunk means courage, bravery, or spirit. Its antonym is 'timidity,' which means lack of courage, shyness, or fearfulness.

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Math (Module-1) QUESTION #5379

Question 17

The provided illustration displays a system consisting of a linear equation and a nonlinear equation. Based on the visual, what is the solution $(x, y)$ for this specific system?

$(0, 0)$
$(0, 4)$
$(4, 5)$✔️
$(5, 0)$

Correct Answer Logic:

The solution to a system is the point where the two graphs intersect. In the graph, the line and the curve meet at the point $(4, 5)$.

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Security Measures to Maintain Law and Order QUESTION #864

Question 18

Which international treaty influences ASF's conduct regarding "Human Trafficking" detection?

Kyoto Protocol
Palermo Protocol✔️
Montreal Convention
None of these

Correct Answer Logic:

The Palermo Protocol addresses the trafficking of persons, which ASF helps prevent through observant law and order measures.

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Mechanical Engineering QUESTION #2546

Question 19

The product of inertia $I_{xy}=\int xy\,dA$ is ZERO when:

The area has no curved boundaries
The area is symmetric about EITHER the x- OR y-axis✔️
The second moments $I_x$ and $I_y$ are equal
The area is a polygon

Correct Answer Logic:

The product of inertia is zero whenever the area has an axis of symmetry that coincides with either the x- or y-axis. The symmetric pairs of elemental areas contribute equal and opposite $xy\,dA$ terms that cancel.

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Psychology QUESTION #1459

Question 20

Which type of learning occurs through observing others and imitating their behaviors?

Classical conditioning
Operant conditioning
Observational learning✔️
Latent learning

Correct Answer Logic:

Observational learning (also called social learning or modelling) occurs by watching and imitating others. Albert Bandura's Social Learning Theory (1977) demonstrated this through his Bobo doll experiments, showing children imitated aggressive behaviour modelled by adults. Classical conditioning involves stimulus-response associations; operant conditioning involves reinforcement/punishment; latent learning occurs without immediate reinforcement.

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