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Boilers Mechanical Engineering QUESTION #2386

The steady-state error for a unit step input applied to a type-zero closed-loop system (with unity feedback) is:

$E_s = 0$
$E_s = \frac{1}{1+K_p}$ where $K_p = \lim_{s\to 0} Y_1(s)$✔️
$E_s = 1$
$E_s = \infty$

Correct Answer Logic:

For a type-zero system with unit step input: $E_s=\frac{1}{1+Y_1(0)}=\frac{1}{1+K_p}$ where $K_p$ is the position error constant. For a type-one system (pole at origin), $E_s=0$ for a step input.

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Boilers Mechanical Engineering QUESTION #2435

Question 5482

The undamped natural circular frequency $\omega_n$ of a spring-mass system (mass $m$, spring stiffness $k$) is:

$\omega_n = \sqrt{k/m}$✔️
$\omega_n = \sqrt{m/k}$
$\omega_n = k/m$
$\omega_n = 2\pi\sqrt{m/k}$

Correct Answer Logic:

From the equation of motion $m\ddot{x}+kx=0$, dividing by $m$ gives $\ddot{x}+\omega_n^2 x=0$ where $\omega_n^2=k/m$, hence $\omega_n=\sqrt{k/m}$ rad/s.

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General Knowledge QUESTION #7720

Question 5483

A proper definition of Muslim is incorporated in the constitution:

1956
1962
1973✔️
None of these

Correct Answer Logic:

The 1973 Constitution of Pakistan includes a proper definition of Muslim, particularly after the Second Amendment in 1974, which defined who is considered a Muslim for constitutional purposes. This definition was significant for legal and constitutional matters.

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General Knowledge QUESTION #8262

Question 5484

Which of the following individuals is recognized as one of the pioneers who helped create the internet?

Vinton Gray Cerf✔️
Bill Gates
Charles Babbage
Steve Jobs

Correct Answer Logic:

Vinton Cerf is widely known as one of the 'fathers of the internet' for his work on TCP/IP.

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Education QUESTION #6771

Question 5485

Carey (1988) identified six elements for developing a Table of Specification. Which combination is MOST essential to ensure both content representativeness AND cognitive depth?

Total number of items and test format
Balance among goals selected for the exam AND balance among levels of learning (higher and lower order)✔️
Enabling skills and number of items per goal
Test format and difficulty level

Correct Answer Logic:

Content representativeness is ensured by balancing the weighting across all instructional goals (objectives). Cognitive depth is ensured by explicitly including items at both lower-order (knowledge, comprehension) and higher-order (application, analysis, synthesis) levels of Bloom's Taxonomy. These two elements working together prevent a test from oversampling easy recall items at the expense of complex thinking.

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Mathematics QUESTION #11193

Question 5486

A vector lying in the plane of $\mathbf{a}$ and $\mathbf{b}$ is:

$(\mathbf{a}\times\mathbf{b})\times\mathbf{c}$
$\mathbf{a}\times(\mathbf{b}\times\mathbf{c})$✔️
$(\mathbf{c}\times\mathbf{a})\times\mathbf{b}$
$(\mathbf{c}\times\mathbf{b})\times\mathbf{a}$

Correct Answer Logic:

By the vector triple product identity: $\mathbf{a}\times(\mathbf{b}\times\mathbf{c}) = (\mathbf{a}\cdot\mathbf{c})\mathbf{b} - (\mathbf{a}\cdot\mathbf{b})\mathbf{c}$, which is a linear combination of $\mathbf{b}$ and $\mathbf{c}$ — lying in the plane of $\mathbf{b}$ and $\mathbf{c}$. Similarly $\mathbf{a}\times(\mathbf{b}\times\mathbf{c})$ lies in the plane of $\mathbf{b}$ and $\mathbf{c}$. For the plane of $\mathbf{a}$ and $\mathbf{b}$, we need $(\mathbf{b}\times\mathbf{c})\times\mathbf{a}$ or equivalent.

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English QUESTION #498

Question 5487

Do not stuff your head by things you do not understand.

Do not stuff your head by things you do not understand.
Do not stuff your head with things you do not understand.✔️
Do not stuff your head for things you do not understand.
Do not stuff your head in things you do not understand.

Correct Answer Logic:

'Stuff with' is correct

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2560

Question 5488

Under section 52(1), a notice for recovery of tax not levied or short-levied (for tax periods AFTER 1st July 2022) must be issued within:

Three years of the relevant tax period
Five years from the end of the financial year in which the relevant tax period falls✔️
Eight years of the relevant tax period
Ten years from the date of assessment

Correct Answer Logic:

Section 52(1) as amended by the Punjab Finance Act, 2022 provides that for periods after 1st July 2022, the show-cause notice must be issued within FIVE years from the end of the financial year in which the relevant tax period falls. The eight-year limit applies to periods before 1st July 2022.

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General Knowledge QUESTION #182

Question 5489

AUKUS Agreement was signed on:

Sept 15, 2021✔️
Oct 15, 2021
Nov 15, 2021
None of these

Correct Answer Logic:

The trilateral security partnership was announced on Sept 15, 2021.

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Pakistan Affairs QUESTION #9110

Question 5490

The Sir Creek channel is a disputed area between Pakistan and India. Where is it located?

Punjab & Indian Punjab
Punjab & Himachal Pradesh
Sindh & Indian Gujarat✔️
None of above

Correct Answer Logic:

Sir Creek is in the Rann of Kutch between Sindh and Gujarat.

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Information Technology QUESTION #1122

Question 5491

Which asymptotic notation gives the strict upper bound for a function?

Omega notation
Big O notation✔️
Theta notation
None of these

Correct Answer Logic:

Big O notation (O) describes an asymptotic upper bound, representing the worst-case scenario for the growth of a function.

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Reading and Writing (Module-1) QUESTION #5414

Question 5492

The Arctic-Alpine Botanic Garden in Norway and the Jardim Botânico of Rio de Janeiro in Brazil are two of many botanical gardens around the world dedicated to growing diverse plant _______ fostering scientific research; and educating the public about plant conservation. Which choice completes the text so that it conforms to the conventions of Standard English?

species, both native and nonnative,
species, both native and nonnative;✔️
species; both native and nonnative,
species both native and nonnative,

Correct Answer Logic:

The semicolon correctly separates items in a complex series, and the comma separates the noun phrase from its modifier.

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General Knowledge QUESTION #8630

Question 5493

How many scribes (writers) are recorded to have written the divine revelation (Wahee) during the Prophet's lifetime?

31
35
40✔️
42

Correct Answer Logic:

About 35 scribes are recorded for writing the Quranic revelation.

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Maths QUESTION #4560

Question 5494

What is $\frac{2}{3}$ of $\frac{3}{4}$?

$\frac{5}{7}$
$\frac{1}{2}$✔️
$\frac{6}{7}$
$\frac{9}{8}$

Correct Answer Logic:

'of' means multiply: $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$

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Information Technology QUESTION #1119

Question 5495

What is meant by refactoring code in SDLC?

To modify the functionality of software
To improve the code quality✔️
To find out bugs in a software
None of these

Correct Answer Logic:

Code refactoring is the process of restructuring existing computer code—changing the factoring—without changing its external behavior to improve non-functional attributes.

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Civil Engineering QUESTION #6577

Question 5496

Among the following materials, which one exhibits the highest Poisson's ratio?

Rubber✔️
Steel
Aluminum
Copper

Correct Answer Logic:

Rubber has a Poisson's ratio close to $0.5$ (nearly incompressible), which is the theoretical maximum for isotropic materials. Typical values: Rubber $\approx 0.45–0.50$, Steel $\approx 0.28$, Aluminum $\approx 0.33$, Copper $\approx 0.34$.

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Islamic Studies QUESTION #336

Question 5497

The name of Hazrat Zaid bin Haritha (RA) is mentioned in which Surah?

Al-Saff
Al-Ahzab✔️
Bani Israel
Yaseen

Correct Answer Logic:

He is the only Companion of the Prophet (ﷺ) mentioned by name in the Quran (Surah Al-Ahzab, Verse 37).

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Education QUESTION #6760

Question 5498

In constructing an effective matching exercise, a teacher has 6 premises in column A and 6 responses in column B, with a strict one-to-one matching rule. What key principle of matching exercise construction is being VIOLATED?

Using homogeneous content
Arranging responses in logical order
Providing an unequal number of responses and premises to reduce systematic guessing✔️
Placing shorter items in the response column

Correct Answer Logic:

One of the most important rules for constructing matching exercises is to include more responses than premises (or allow responses to be used more than once) so that the last premise cannot be answered by elimination. A strict one-to-one correspondence with equal numbers allows students to answer the final item through process of elimination, without any content knowledge.

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Chemistry QUESTION #1012

Question 5499

Identify the number of structures from the given Fisher projections that can be correlated to D-glyceraldehyde:

Four
One
Two
Three✔️

Correct Answer Logic:

D-glyceraldehyde has the $-\text{OH}$ group on the right in Fischer projection at the chiral carbon nearest to the bottom. Checking each structure (A, B, C, D): those with appropriate configuration matching D-glyceraldehyde's stereochemistry — three of the four structures can be correlated.

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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5746

Question 5500

A 'Self-Selection' layout in a pharmacy is characterized by:

The pharmacist giving all drugs directly
Customers seeing, handling, and selecting items themselves✔️
Mail-order shipping only
Radioactive material handling

Correct Answer Logic:

Self-selection allows consumers to handle and select items.

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