Reading Mode - Questions

At $t=15\ \text{ms}$: $V_{in}=220\sin(100\pi\times0.015)=220\sin(1.5\pi)=220\times(-1)=-220\ \text{V}$. The voltage is negative (in the negative half cycle). In a full wave rectifier, during the negative half cycle, $D_1$ is reverse biased and $D_2$ is forward biased.

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Mathematics QUESTION #6042

Question 5

Find the circle passing through the foci of the ellipse $\dfrac{x^2}{16}+\dfrac{y^2}{9}=1$ and having its centre at $(0,3)$.

$x^2+y^2-6y-7=0$✔️
$x^2+y^2-6y+7=0$
$x^2+y^2-6y-5=0$
$x^2+y^2-6y+5=0$

Correct Answer Logic:

For the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$: $a^2=16, b^2=9$, so $c^2=16-9=7$, giving foci at $(\pm\sqrt{7},0)$.

The circle has centre $(0,3)$. Radius $r=$ distance from $(0,3)$ to $(\sqrt{7},0)$:

$r^2=(\sqrt{7}-0)^2+(0-3)^2=7+9=16\Rightarrow r=4$

Equation: $x^2+(y-3)^2=16\Rightarrow x^2+y^2-6y+9=16\Rightarrow x^2+y^2-6y-7=0$

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Reading and Writing (Module-1) QUESTION #5364

Question 6

When table forks were first brought to Europe in the 11th century, they were widely rejected. St. Peter Damian even spoke out against them, as he viewed ______ as an unnecessary and dangerous luxury. Which choice completes the text so that it conforms to the conventions of Standard English?

them✔️
this
that
it

Correct Answer Logic:

'Them' correctly refers back to the plural noun 'table forks.'

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Civil Engineering QUESTION #6606

Question 7

A wide-flange section is used as a beam-column. If the axial load ratio $P_u / (\phi P_n)$ is greater than 0.2, which interaction equation form is required by AISC?

$\frac{P_u}{\phi P_n} + \frac{M_u}{\phi M_n} \le 1.0$
$\frac{P_u}{2\phi P_n} + \frac{M_u}{\phi M_n} \le 1.0$
$\frac{P_u}{\phi P_n} + \frac{8}{9}(\frac{M_{ux}}{\phi_b M_{nx}} + \frac{M_{uy}}{\phi_b M_{ny}}) \le 1.0$✔️
$\frac{P_u}{\phi P_n} + \frac{1}{2}(\frac{M_u}{\phi M_n}) \le 1.0$

Correct Answer Logic:

For $P_u / \phi P_n \ge 0.2$, the AISC interaction formula weights the axial component fully and reduces the moment component slightly (multiplied by 8/9). For ratios < 0.2, the axial component is halved.

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Constitutional Law QUESTION #5814

Question 8

A state passes a law prohibiting the importation of out-of-state 'solid waste' to protect the health and safety of its citizens and to preserve its remaining landfill space. Is this law constitutional?

Yes, because health and safety are legitimate exercises of the state's police power.
Yes, because the state is acting as a 'market participant' in managing its landfills.
No, because it violates the Negative Implications of the Commerce Clause by discriminating against out-of-state commerce.✔️
No, because it violates the Privileges and Immunities Clause of Article IV.

Correct Answer Logic:

A state law that is facially discriminatory against out-of-state commerce is virtually per se invalid under the Dormant Commerce Clause unless the state can show it serves a legitimate local purpose that cannot be served by non-discriminatory means. Landfill space preservation is not sufficient to justify a ban on out-of-state waste.

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Education QUESTION #6795

Question 9

What is the MOST fundamental reason why 'Depth of Knowledge' (DOK) Level 3 (Strategic Thinking) and Level 4 (Extended Thinking) items should appear in assessments designed for Teacher/Subject Specialist examination — as opposed to relying primarily on DOK Levels 1 and 2?

Higher DOK levels require longer answers, which increases test validity
Subject specialists must demonstrate the ability to analyze real-world educational problems and synthesize solutions over time — capacities that DOK 1 (recall) and 2 (skills/concepts) items structurally cannot elicit✔️
Higher DOK levels have easier scoring rubrics
DOK 3 and 4 items are faster to construct than lower-level items

Correct Answer Logic:

DOK Level 3 (Strategic Thinking) requires short-term higher-order thinking — analysis and evaluation applied to real-world problems. DOK Level 4 (Extended Thinking) requires synthesis, reflection, and adjustment over time. These are the cognitive capacities central to professional educator competence. Assessments limited to recall and basic skills cannot distinguish candidates who can genuinely solve complex educational problems from those who merely memorize content.

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Constitutional Law QUESTION #5819

Question 10

A public university fired a tenured professor without a hearing after he was accused of plagiarism. The university claimed that because he was an 'at-will' employee, no hearing was required. Does the professor have a valid claim?

No, because public employment is a privilege, not a right.
No, because plagiarism is a clear violation of university policy.
Yes, because tenure creates a 'property interest' in employment that requires procedural due process.✔️
Yes, because the firing violated his First Amendment right to academic freedom.

Correct Answer Logic:

Tenured public employees have a 'legitimate claim of entitlement' to their jobs, which constitutes a property interest under the Due Process Clause of the 14th Amendment. They cannot be fired without notice and a pre-termination hearing.

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Economics QUESTION #1712

Question 11

Pakistan's water crisis is widely recognised as a compound problem with multiple reinforcing drivers. Which comprehensive assessment best captures the causality behind the country's deepening water stress?

Inefficient irrigation systems and poor canal maintenance leading to massive water losses
Rapid population growth and urbanisation expanding water demand beyond sustainable supply
Glacial retreat, erratic precipitation patterns, and rising temperatures from climate change
All of these✔️

Correct Answer Logic:

Pakistan's water scarcity is a multi-causal crisis: (1) Governance and infrastructure failures — the Indus Basin irrigation system loses an estimated 40% of water to seepage and evaporation; (2) Demand pressure — Pakistan's population growth (one of the highest in Asia) and urban expansion continuously expand water demand; (3) Climate change — accelerating glacial melt (short-term flood risk), long-term reduction in glacier-fed river flows, and shifting monsoon patterns all exacerbate supply-side constraints.

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Math Physics Chemistry Biology QUESTION #11257

Question 12

The oxygen-carrying capacity of blood is primarily determined by:

The number of white blood cells
The hemoglobin concentration✔️
The plasma protein level
The platelet count

Correct Answer Logic:

Hemoglobin is the iron-containing protein in red blood cells that binds and transports oxygen. Each hemoglobin molecule can carry up to 4 oxygen molecules. The oxygen-carrying capacity is directly proportional to hemoglobin concentration.

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Bio-Technology QUESTION #10590

Question 13

In size-exclusion chromatography (gel filtration), molecules are separated based on:

Their binding affinity for the stationary phase
Their charge at a given pH
Their ability to enter pores of the gel matrix — smaller molecules are retarded✔️
Their hydrophobicity in the mobile phase

Correct Answer Logic:

Size-exclusion chromatography (SEC) uses a porous gel matrix (e.g. Sephadex, Sepharose). Large molecules cannot enter the pores and elute first in the void volume. Small molecules diffuse into pores and are retarded, eluting later. There is no binding — separation is purely by molecular size/hydrodynamic radius. SEC is used for final polishing, desalting, and determination of molecular weight distribution of biologics.

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Islamic Studies QUESTION #238

Question 14

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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English Literature QUESTION #10749

Question 15

Which of the following was a group that tried to spread Catholic teaching and counter the Protestant Reformation?

The Jesuits✔️
The Baptists
The Protestants
The Calvinists

Correct Answer Logic:

The Society of Jesus (Jesuits), founded by St. Ignatius of Loyola in 1540, was a Catholic religious order established specifically to combat the Protestant Reformation and spread Catholic teaching through education, missionary work, and theological debate. The Jesuits were central to the Counter-Reformation. Baptists, Protestants, and Calvinists are all Protestant groups.

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Economics QUESTION #1694

Question 16

Among the following, which one is categorically NOT a component of Gross Domestic Product (GDP) calculated by the expenditure approach?

Consumption expenditure by households
Gross private domestic investment by firms
Government purchases of goods and services
The prevailing rate of unemployment✔️

Correct Answer Logic:

The expenditure approach to GDP is: $\text{GDP} = C + I + G + (X - M)$, where $C$ = household consumption, $I$ = gross private investment, $G$ = government purchases, and $(X-M)$ = net exports. The rate of unemployment is a labour market indicator and is not a component of GDP. It may be correlated with GDP (via Okun's Law) but is not included in its calculation.

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Civil Engineering QUESTION #6590

Question 17

A continuous beam covering two spans is to be analysed using the stiffness matrix method, with two nodes assigned per element. The order of the resulting structural stiffness matrix will be:

2×2
4×4
6×6✔️
12×12

Correct Answer Logic:

With 2 spans (2 elements) and 2 nodes per element, there are 3 unique nodes. Each beam node has 2 DOFs (vertical displacement and rotation), giving $3 \times 2 = 6$ DOFs. Structural stiffness matrix order $= 6 \times 6$.

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Chemistry QUESTION #7142

Question 18

Identify the primitive unit cell characterized by unequal edge lengths ($a \neq b \neq c$) and axial angles where none are equal to $90^{\circ}$.

Hexagonal
Triclinic✔️
Monoclinic
Tetragonal

Correct Answer Logic:

The Triclinic system is the most unsymmetrical crystal system. Its parameters are defined as $a \neq b \neq c$ and $\alpha \neq \beta \neq \gamma \neq 90^{\circ}$.

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English Literature QUESTION #672

Question 19

Who is the author of "The Conquest of Happiness"?

Bertrand Russell✔️
Will Durant
Jean-Paul Sartre
Albert Camus

Correct Answer Logic:

In this 1930 book, Russell attempts to diagnose the causes of unhappiness and suggest a cure.

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Accounting & Finance QUESTION #6107

Question 20

After Neil updated his cash book using the bank statement, which item would appear on the bank reconciliation statement (not in the updated cash book)?

Bank charges shown on the bank statement
Cheques not yet presented for payment✔️
Credit transfers received directly by the bank
Errors discovered in the cash book

Correct Answer Logic:

Option B is correct.

Unpresented cheques are written and recorded in the cash book but not yet presented to the bank — they are timing differences shown on the reconciliation.

A: Bank charges update the cash book.
C: Credit transfers update the cash book.
D: Cash book errors are corrected in the cash book.

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