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Mechanical Engineering QUESTION #2424

The lumped capacitance (lumped system) method for transient heat transfer is valid when the Biot number satisfies:

$Bi > 10$
$Bi \geq 1$
$Bi \leq 0.1$✔️
$Bi = 1$ exactly

Correct Answer Logic:

The lumped capacitance method is valid when $Bi=hL_c/k\leq0.1$. The temperature history is: $\frac{T-T_\infty}{T_i-T_\infty}=e^{-t/\tau}$ where $\tau=\rho c V/(hA_s)$ is the time constant.

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Architecture QUESTION #2369

Question 2

In the Slope-Deflection Method for analysis of indeterminate beams and frames, the slope-deflection equation for the near-end moment $M_{AB}$ of member $AB$ with near-end rotation $\theta_A$, far-end rotation $\theta_B$, chord rotation $\psi = \Delta/L$, and Fixed-End Moment $FEM_{AB}$ is:

$M_{AB} = \dfrac{2EI}{L}(2\theta_A + \theta_B - 3\psi) + FEM_{AB}$✔️
$M_{AB} = \dfrac{EI}{L}(4\theta_A + 2\theta_B - 6\psi) + FEM_{AB}$
$M_{AB} = \dfrac{2EI}{L}(\theta_A + 2\theta_B - 3\psi) + FEM_{AB}$
$M_{AB} = \dfrac{4EI}{L}(\theta_A - \theta_B) + FEM_{AB}$

Correct Answer Logic:

The slope-deflection equation is $M_{AB} = \dfrac{2EI}{L}(2\theta_A + \theta_B - 3\psi) + FEM_{AB}$, where $\theta_A$ is near-end rotation, $\theta_B$ is far-end rotation, and $\psi = \Delta/L$ is the chord rotation due to relative settlement or sway. The near-end joint rotation carries a coefficient twice that of the far-end (reflecting the carry-over factor of 1/2). The chord rotation term $-3\psi$ accounts for sidesway. This equation is the foundation of the Slope-Deflection Method for all prismatic members.

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Islamic Studies QUESTION #238

Question 3

Sheikh Ali Hajwiri (Data Ganj Bakhsh) came to Lahore during whose period?

Mahmood Ghaznavi
Masood Ghaznavi✔️
Shahabuddin Ghori
None of these

Correct Answer Logic:

He accompanied the army of Masood Ghaznavi (son of Mahmood) to Lahore.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3486

Question 4

Which drug belongs to the family 'Solanaceae'?

Datura✔️
Digitalis
Senna
Cinnamon

Correct Answer Logic:

Datura stramonium is a member of the Solanaceae family, rich in belladonna alkaloids.

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Islamic Studies QUESTION #641

Question 5

The objective of "Faraizi Movement" was:

To gain power
To spread Islam
To act on the obligations of Islam✔️
None of these

Correct Answer Logic:

Haji Shariatullah started it to encourage Muslims to fulfill their basic "Faraiz" (obligations).

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Chemistry QUESTION #1007

Question 6

RBr undergoes Grignard reaction (Mg, dry ether) followed by hydrolysis ($\text{H}_2\text{O}$) to give 2-methylbutane. The maximum number of structural isomers of RBr that can produce 2-methylbutane is:

5
4✔️
3
1

Correct Answer Logic:

2-Methylbutane is $\text{CH}_3\text{CH(CH}_3\text{)CH}_2\text{CH}_3$. The Grignard reagent RMgBr reacts with water to give R–H. So R– must be a fragment of 2-methylbutane: 1-methylbutyl, 2-methylbutyl, 1-methyl-1-propyl, neopentyl, and isobutyl radicals. Counting distinct structural isomers of RBr gives 4.

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Others section QUESTION #4824

Question 7

Which country on the world map is shaped like a long boot?

Italy✔️
Malta
Croatia
Moldova

Correct Answer Logic:

Italy is famously described as resembling a boot or high-heeled boot on the map, with the peninsula extending into the Mediterranean Sea and the 'toe' pointing towards Sicily.

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English QUESTION #2662

Question 8

Identify the word similar in meaning to: 'METICULOUS'

Careless
Thorough✔️
Lazy
Quick

Correct Answer Logic:

'Meticulous' means showing great attention to detail; 'thorough' is a synonym.

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Physics QUESTION #4400

Question 9

A phase difference of $90°$ is equal to:

$\pi$ radians
$\dfrac{\pi}{2}$ radians✔️
$\pi n$ radians
$\dfrac{\pi}{4}$ radians

Correct Answer Logic:

Converting degrees to radians: $\theta_{rad} = \theta_{deg} \times \dfrac{\pi}{180}$. So $90° = 90 \times \dfrac{\pi}{180} = \dfrac{\pi}{2}$ radians.

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Boilers Mechanical Engineering QUESTION #3983

Question 10

What is the primary purpose of a 'Steam Drum' in a water-tube boiler?

To store fuel
To separate steam from water✔️
To act as a furnace
To increase water temperature

Correct Answer Logic:

The drum provides space for steam to separate from the circulating water/steam mixture.

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Chemistry QUESTION #1100

Question 11

The correct order of decreasing basic strength of amines:

N-ethylethanamine $>$ ethanamine $>$ N-methylaniline $>$ benzenamine✔️
benzenamine $>$ ethanamine $>$ N-methylaniline $>$ N-ethylethanamine
N-methylaniline $>$ benzenamine $>$ ethanamine $>$ N-ethylethanamine
N-ethylethanamine $>$ ethanamine $>$ benzenamine $>$ N-methylaniline

Correct Answer Logic:

Basic strength: aliphatic $>$ aromatic amines. Among aliphatic: secondary $>$ primary due to +I effect. N-ethylethanamine (diethylamine) $>$ ethanamine (ethylamine). Aromatic amines much weaker: N-methylaniline $>$ aniline (benzenamine) due to partial +I from methyl. Order: N-ethylethanamine $>$ ethanamine $>$ N-methylaniline $>$ benzenamine.

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Urdu QUESTION #5150

Question 12

Distant drums sound sweeter کے درست ترجمے کا انتخاب کیجیے۔

دوری سے پیار بڑھتا ہے
گھر کی دوری سے گھر کی قدر ہوتی ہے
دور کے ڈھول ہی اچھے
دور کے ڈھول سہانے✔️

Correct Answer Logic:

Distant drums sound sweeter کا اردو میں درست مفہوم ہے 'دور کے ڈھول سہانے' یعنی جو چیز دور ہو وہ اچھی لگتی ہے۔

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Logical Reasoning QUESTION #3931

Question 13

A journalist working to correct legal errors would logically oppose a ruling that was _____ appeals for prisoners who might be _____.

barring...guilty✔️
restricting...innocent
encouraging...culpable
scrutinizing...eligible

Correct Answer Logic:

1

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3159

Question 14

Inflammation of the membranes covering the brain is called:

Encephalitis
Meningitis✔️
Neuritis
Hepatitis

Correct Answer Logic:

Meningitis can be bacterial or viral and is a medical emergency.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3456

Question 15

'Antioxidants' like Vitamin E and Vitamin C protect the body by:

Increasing sugar levels
Neutralizing free radicals✔️
Building muscle
Killing bacteria

Correct Answer Logic:

They prevent oxidative damage to cells.

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Electrical Engineering QUESTION #2164

Question 16

A BJT common-emitter amplifier has $\beta = 100$, $R_C = 4\,\text{k}\Omega$, and $I_{C,Q} = 1\,\text{mA}$. The small-signal voltage gain $A_v$ (neglecting $r_o$) is:

$-154$✔️
$+154$
$-400$
$-100$

Correct Answer Logic:

$g_m = I_C/V_T = 1\,\text{mA}/26\,\text{mV} \approx 38.5\,\text{mS}$. $A_v = -g_m R_C = -38.5\,\text{mS} \times 4\,\text{k}\Omega \approx -154$.

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Biology QUESTION #539

Question 17

Which of the following are called placental mammals?

Prototheria
Eutheria✔️
Metatheria
All of these

Correct Answer Logic:

Eutheria are placental mammals

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Urdu QUESTION #5172

Question 18

عبدالحمید آدم کو اردو زبان کا خیام کیوں کہا جاتا ہے؟

مزاح نگاری
تاریخ سیرت نگاری
المیہ شاعری
رباعیات✔️

Correct Answer Logic:

عبدالحمید آدم کو اردو زبان کا خیام اس لیے کہا جاتا ہے کیونکہ وہ رباعیات لکھنے میں مشہور تھے۔

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Mathematics QUESTION #1302

Question 19

For the power series solution of $(x^2+1)y''+xy'-y=0$, we assume $y=\sum_{n=0}^\infty a_n x^n$. This ODE has an ordinary point at $x=0$ because:

The coefficients are all constants
All singular points are at $x=\pm i$, not at $x=0$✔️
The equation is linear
The ODE is homogeneous

Correct Answer Logic:

Ordinary points are where $P(x)=1+x^2\neq0$. The singular points are where $P(x)=0\Rightarrow x^2+1=0\Rightarrow x=\pm i$. Since $x=0$ is not a singular point, it is an ordinary point, and a power series solution $\sum a_n x^n$ converges in a neighbourhood of $x=0$.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2985

Question 20

A $1:500$ (w/v) solution is equivalent to what percentage concentration?

$0.02\%$
$0.2\%$✔️
$2\%$
$0.5\%$

Correct Answer Logic:

$1/500 = 0.002$. Multiplying by $100$ gives $0.2\%$.

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