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$a_{Bx} = -L_{AB}\omega^2\cos\phi + L_{AB}\alpha\sin\phi$; $a_{By} = -L_{AB}\omega^2\sin\phi - L_{AB}\alpha\cos\phi$
$a_{Bx} = -L_{AB}\omega^2\cos\phi - L_{AB}\alpha\sin\phi$; $a_{By} = -L_{AB}\omega^2\sin\phi + L_{AB}\alpha\cos\phi$✔️
$a_{Bx} = L_{AB}\alpha\cos\phi$; $a_{By} = L_{AB}\alpha\sin\phi$
$a_{Bx} = -L_{AB}\omega^2\cos\phi$; $a_{By} = -L_{AB}\omega^2\sin\phi$

Correct Answer Logic:

Differentiating velocity: $a_{Bx}=-L_{AB}\alpha\sin\phi-L_{AB}\omega^2\cos\phi$ and $a_{By}=L_{AB}\alpha\cos\phi-L_{AB}\omega^2\sin\phi$.

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Mathematics QUESTION #4090

Question 1645

The dimension of the subspace $W$ of all $2\times2$ symmetric matrices (as a subspace of all $2\times2$ matrices) is:

$1$
$2$
$3$✔️
$4$

Correct Answer Logic:

A general $2\times2$ symmetric matrix is $\begin{pmatrix}a&b\\b&c\end{pmatrix}$ with 3 free parameters. A basis for $W$ is $\left\{\begin{pmatrix}1&0\\0&0\end{pmatrix},\begin{pmatrix}0&1\\1&0\end{pmatrix},\begin{pmatrix}0&0\\0&1\end{pmatrix}\right\}$. Hence $\dim(W)=3$.

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Architecture QUESTION #2345

Question 1646

In the Moment Distribution Method for indeterminate beams, the carry-over factor (COF) for a prismatic member with the far end FIXED is:

$\text{COF} = 0$
$\text{COF} = +\dfrac{1}{3}$
$\text{COF} = +\dfrac{1}{2}$✔️
$\text{COF} = -\dfrac{1}{2}$

Correct Answer Logic:

For a prismatic member with far end fixed, the carry-over factor is $+\dfrac{1}{2}$. When a moment $M$ is applied at the near end, $M/2$ is carried over to the far end (same sign). If the far end is pinned, COF = 0. If the far end is free, there is no carry-over meaningful definition since the member is statically determinate on one end.

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Tourism & Hospitality Management QUESTION #1633

Question 1647

The Travel & Tour Operations course covers 'itinerary development' as a core skill. Which of the following elements is specifically identified as part of effective itinerary preparation?

Only the list of tourist attractions to be visited
Types of itineraries, how to develop an effective itinerary, reference tools for itinerary preparation, and a step-by-step procedure covering routing, timing, transport, accommodation, and activities✔️
The legal contracts between tour operators and hotels
The financial budget of the tour company

Correct Answer Logic:

Module 3 of the Travel & Tour Operations course covers itinerary development including: the meaning and definition of an itinerary, types of itineraries, how to develop an effective itinerary, reference tools for preparation, and a step-by-step procedure — covering the practical craft of sequencing destinations, transport, accommodation, and activities into a coherent and feasible travel programme.

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MCQs Section QUESTION #4830

Question 1648

Select the word nearly similar in meaning to "IONIC"

Indian stone monument
Greek architecture✔️
Roman Sculpture
Mediterranean Sea

Correct Answer Logic:

Ionic refers to one of the classical orders of Greek architecture, characterized by scroll-shaped ornaments (volutes) on the capital of the column.

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MCQs Section QUESTION #4884

Question 1649

Which word is opposite to "IGNOBLE"

Lowly
Vile
Good
Noble✔️

Correct Answer Logic:

Ignoble means not honorable in character or purpose. Its antonym is Noble, meaning having high moral qualities and good character.

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Urdu QUESTION #1404

Question 1650

وہ نظم جو قافیہ اور ردیف کی قید سے آزاد ہو مگر ایک ہی بحر اور وزن میں لکھی گئی ہو اسے کیا کہتے ہیں؟

نظمِ آزاد
ہائیکو
نظمِ معرا✔️
رباعی

Correct Answer Logic:

نظمِ معرا (Blank Verse) وہ نظم ہے جو ایک مخصوص بحر اور وزن میں ہو لیکن قافیہ اور ردیف سے آزاد ہو۔ نظمِ آزاد بحر اور وزن کی پابندی سے بھی آزاد ہوتی ہے۔ ہائیکو ایک جاپانی صنف ہے اور رباعی چار مصرعوں کی مخصوص صنف ہے۔

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Library Sciences QUESTION #1530

Question 1651

Almanacs such as the World Almanac are best used for retrieving which type of information?

In-depth historical narrative about a country
Quick facts, statistics, rankings, and current data across a wide range of topics✔️
Step-by-step guides to library research
Biographical sketches of living persons

Correct Answer Logic:

Almanacs are ready-reference sources compiled annually that provide a wide range of current statistics, facts, rankings, calendars, and data on topics such as government, population, sports, and geography — ideal for quick factual lookups.

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Physics and Math QUESTION #775

Question 1652

If eccentricity $e > 1$, then the figure is:

Ellipse
Parabola
Circle
Hyperbola✔️

Correct Answer Logic:

For conic sections: $e = 0$ circle, $0 < e < 1$ ellipse, $e = 1$ parabola, $e > 1$ hyperbola.

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Mechanical Engineering QUESTION #2435

Question 1653

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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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3184

Question 1654

'Erythropoietin' (EPO), which regulates RBC production, is primarily secreted by the:

Bone Marrow
Spleen
Kidney✔️
Liver

Correct Answer Logic:

Hypoxia (low oxygen) stimulates the kidneys to release EPO.

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Chemistry QUESTION #1084

Question 1655

Match List-I with List-II for types of solutions: (A) Humidity (B) Alloys (C) Amalgams (D) Smoke; with (I) Solid in solid (II) Liquid in gas (III) Solid in gas (IV) Liquid in solid

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

Correct Answer Logic:

Humidity = water vapour (liquid) dissolved in air (gas) → Liquid in gas (II). Alloys = solid metals dissolved in solid → Solid in solid (I)... wait alloys can be solid in liquid or solid in solid. Mercury amalgams = solid/liquid metal dissolved in mercury (liquid) → Liquid in solid (IV)... Smoke = solid particles in gas → Solid in gas (III). Matching: A-II, B-I, C-IV, D-III.

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Islamic Studies QUESTION #659

Question 1656

Who introduced the postal system (Barid) in the Islamic state?

Hazrat Umar
Hazrat Muawiyah✔️
Abdul Malik bin Marwan
None of these

Correct Answer Logic:

Hazrat Muawiyah I is credited with establishing the organized postal service.

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Urdu QUESTION #5303

Question 1657

کتابِ ارمغانِ حجاز کا مصنف کون ہے؟

علامہ اقبال✔️
عبدالحلیم شرر
فیض احمد فیض
ان میں سے کوئی نہیں

Correct Answer Logic:

ارمغانِ حجاز علامہ اقبال کا آخری مجموعۂ کلام ہے جو ان کی وفات کے بعد شائع ہوا۔

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Chemistry QUESTION #4373

Question 1658

Which one of the following is NOT a characteristic of benzene?

Aromaticity
Stability
To follow Hückel rule
High reactivity✔️

Correct Answer Logic:

Benzene ($C_6H_6$) is characterized by aromaticity, stability (due to delocalized $\pi$ electrons), and follows Hückel's rule ($4n+2\ \pi$ electrons, $n=1$). Benzene has LOW reactivity (not high) — it prefers substitution over addition to preserve aromaticity.

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Logical Reasoning QUESTION #3960

Question 1659

Select the pair with a similar relationship: CONCERT : MUSIC

performance : artist✔️
exhibition : art
play : actor
operetta : singer

Correct Answer Logic:

1

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CISA QUESTION #1784

Question 1660

Which statement most accurately distinguishes compliance testing from substantive testing?

Compliance testing verifies the presence of controls; substantive testing examines the integrity of transaction contents✔️
Substantive testing checks for the presence of controls; compliance testing examines actual contents
Both test types are identical; the only difference is whether the entity falls under the Sarbanes-Oxley Act
Compliance testing evaluates individual account balances; substantive testing reviews written corporate policies

Correct Answer Logic:

Compliance testing determines whether required controls exist and are being applied consistently. Substantive testing goes deeper — it examines the substance and accuracy of the actual data, transactions, or account balances to verify that no material errors or misstatements are present.

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