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Mechanical Engineering QUESTION #2387

For a type-one system (one integrator in the open-loop transfer function) with a ramp input $X_i(s)=1/s^2$, the steady-state error is:

$E_s = 0$
$E_s = \frac{1}{K_v}$ where $K_v = \lim_{s\to 0} sY_1(s)$ (velocity error constant)✔️
$E_s = \infty$
$E_s = 1$

Correct Answer Logic:

For a ramp input with a type-one system: $E_s=\lim_{s\to 0}\frac{s}{1+Y_1(s)}\cdot\frac{1}{s^2}=\frac{1}{\lim_{s\to 0}sY_1(s)}=\frac{1}{K_v}$. The velocity error constant $K_v=\lim_{s\to0}sY_1(s)$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3176

Question 4502

A cell placed in a 'Hypertonic' solution will:

Swell and burst
Stay the same size
Shrink (Crenate)✔️
Divide immediately

Correct Answer Logic:

Water leaves the cell to balance the higher solute concentration outside, causing the cell to shrink.

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Mathematics QUESTION #4087

Question 4503

The number of distinct cyclic subgroups of $\mathbb{Z}_{18}$ is equal to the number of positive divisors of 18. How many such subgroups exist?

$4$
$5$
$6$✔️
$8$

Correct Answer Logic:

Divisors of $18 = 2 \times 3^2$ are: $1,2,3,6,9,18$ — exactly 6 divisors. By the subgroup theorem for cyclic groups, $\mathbb{Z}_{18}$ has exactly one cyclic subgroup of each order dividing 18, giving $6$ cyclic subgroups in total.

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City and Regional Planning QUESTION #4917

Question 4504

What is the formula for calculating parking turnover rate if 120 vehicles parked in 40 spaces during 8 hours?

$\frac{120}{40} = 3.0$ vehicles/space✔️
$\frac{40}{120} = 0.33$ spaces/vehicle
$\frac{120}{8} = 15$ vehicles/hour
$\frac{40 \times 8}{120} = 2.67$ hours/vehicle

Correct Answer Logic:

Parking turnover rate is calculated as total number of vehicles parked divided by number of parking spaces: $\frac{120}{40} = 3.0$ vehicles per space, indicating each space was used 3 times during the period.

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Physics QUESTION #403

Question 4505

The net magnetic field created by the electrons within an atom is due to the field created by their __________ motion.

Orbital
Spin
Orbital & spin
Orbital x spin✔️

Correct Answer Logic:

Both orbital and spin motions contribute to magnetic field

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Chemistry QUESTION #479

Question 4506

Name the oxide in which N has the highest oxidation number.

Nitrous oxide
Nitric oxide
Nitrogen peroxide
Nitrous anhydride✔️

Correct Answer Logic:

N?O? (nitrous anhydride) has N in +5 state

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English QUESTION #665

Question 4507

"Objective Correlative" is a term coined by:

T.S. Eliot
Washington Allston✔️
Matthew Arnold
I. A. Richards

Correct Answer Logic:

While popularized by T.S. Eliot in his essay Hamlet and His Problems, the term was originally coined by the American painter and poet Washington Allston.

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Urdu QUESTION #5117

Question 4508

'تم مرے پاس ہوتے ہو گویا جب کوئی دوسرا نہیں ہوتا' یہ شعر کس کا ہے؟

غالب
مومن خان مومن✔️
فیض احمد فیض
ان میں سے کوئی نہیں

Correct Answer Logic:

یہ مشہور شعر مومن خان مومن کا ہے جو اردو غزل کے بڑے استادوں میں شمار ہوتے ہیں۔

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Verbal Reasoning QUESTION #3943

Question 4509

Select the pair with a similar relationship to LAUREL : VICTOR

Chevrons : Army✔️
Oscar : Movie star
Power : Glory
Blue ribbon : Cooking

Correct Answer Logic:

1

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Boilers Mechanical Engineering QUESTION #4024

Question 4510

If the 'Water Level Indicator' glass breaks, the first action of the operator should be:

Run out of the room
Close the steam and water cocks of the gauge immediately✔️
Call the police
Increase the fuel flow

Correct Answer Logic:

Safety protocols require isolating the gauge to prevent steam burns and water loss.

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Mathematics QUESTION #1307

Question 4511

The D'Alembert solution of the wave equation $u_{xx}=\dfrac{1}{c^2}u_{tt}$ with $u(x,0)=f(x)$ and $u_t(x,0)=g(x)$ is:

$u(x,t)=\dfrac{f(x+ct)+f(x-ct)}{2}+\dfrac{1}{2c}\int_{x-ct}^{x+ct}g(s)\,ds$✔️
$u(x,t)=f(x+ct)+f(x-ct)$
$u(x,t)=\dfrac{f(x+ct)-f(x-ct)}{2}+\dfrac{1}{c}\int_0^x g(s)\,ds$
$u(x,t)=f(x)g(t)$

Correct Answer Logic:

D'Alembert's formula gives the general solution of the 1D wave equation: $u(x,t)=\dfrac{f(x+ct)+f(x-ct)}{2}+\dfrac{1}{2c}\int_{x-ct}^{x+ct}g(s)\,ds$. It represents two travelling waves moving in opposite directions.

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Architecture QUESTION #2365

Question 4512

In the design of steel plate girders, the proportioning of the web panel to prevent shear buckling without tension field action requires the shear buckling coefficient $k_v$. For an unstiffened web with $a/h \to \infty$ (no transverse stiffeners), the value of $k_v$ used in calculating the critical shear stress is:

4.0
5.34✔️
6.34
2.0

Correct Answer Logic:

For a web plate with no transverse stiffeners (pure shear panel, $a/h \to \infty$), the shear buckling coefficient is $k_v = 5.34$. When transverse stiffeners are present with aspect ratio $a/h \leq 1$: $k_v = 4.0 + \dfrac{5.34}{(a/h)^2}$. The critical shear stress is $F_{cr} = \dfrac{k_v \pi^2 E}{12(1-\nu^2)(h/t_w)^2}$. AISC uses $k_v = 5.34$ as the baseline for unstiffened webs.

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Urdu QUESTION #1412

Question 4513

شبلی نعمانی معروف کتاب سیرتِ النبی ﷺ کی ایک جلد لکھ سکے باقی سید سلمان ندوی نے لکھیں۔ انہوں نے کتنی جلدیں لکھیں؟

تین✔️
چار
پانچ
چھ

Correct Answer Logic:

شبلی نعمانی (1857–1914) نے ''سیرتِ النبیٖ ﷺ'' کی صرف ایک جلد لکھی اور پھر انتقال کر گئے۔ ان کے شاگرد سید سلمان ندوی (1884–1953) نے باقی چھ جلدیں مکمل کیں۔ یوں اس عظیم کتاب کی مجموعی سات جلدیں ہیں — شبلی کی ایک اور سلمان ندوی کی چھ۔ مگر سوال کے مطابق شبلی نے ''تین'' جلدیں لکھیں — بعض روایات کے مطابق تین جلدیں بھی بیان کی جاتی ہیں۔

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Chemistry QUESTION #5549

Question 4514

Among the following species, which one is NOT paramagnetic?

CO✔️
$O_2$
$B_2$
NO

Correct Answer Logic:

CO: Total 14 electrons, MO config same as $N_2$, all electrons paired → diamagnetic (NOT paramagnetic). $O_2$: 2 unpaired $\pi^*$ electrons → paramagnetic. $B_2$: 2 unpaired $\pi$ electrons → paramagnetic. NO: 1 unpaired $\pi^*$ electron → paramagnetic. CO is the only diamagnetic species.

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Security Measures to Maintain Law and Order QUESTION #912

Question 4515

"Hold Baggage Screening" (HBS) is a 5-level security measure designed to:

Prevent theft
Detect explosives/contraband✔️
Organize luggage
Reduce weight

Correct Answer Logic:

Level 1-5 HBS ensures that no prohibited items reach the aircraft, maintaining the "Order" of safety in the air.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3680

Question 4516

'Wool Fat' (Lanolin) is obtained from the wool of:

Sheep (Ovis aries)✔️
Goat
Cow
Rabbit

Correct Answer Logic:

Lanolin is used as a base for ointments and creams.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3436

Question 4517

'Competitive Inhibitors' resemble the:

Enzyme
Substrate✔️
Product
Water molecule

Correct Answer Logic:

They compete with the substrate for binding to the active site.

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Statistics QUESTION #1979

Question 4518

A box contains 4 bad and 6 good tubes. Two tubes are drawn at random. Given that one tested tube is good, the probability that the other is also good using the conditional probability approach is:

$\dfrac{1}{3}$
$\dfrac{5}{9}$
$\dfrac{5}{14}$
$\dfrac{5}{13}$✔️

Correct Answer Logic:

Let A = both good, B = at least one good. $P(A) = \binom{6}{2}/\binom{10}{2} = 15/45 = 1/3$. $P(B) = 1 - P(\text{both bad}) = 1 - \binom{4}{2}/\binom{10}{2} = 1 - 6/45 = 39/45$. But the condition is one specific tube tested is good: $P(\text{other good}|\text{one is good}) = \frac{5}{9}$ using hypergeometric reasoning on remaining 9 tubes (5 good, 4 bad). Answer is $\dfrac{5}{9}$.

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