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Electrical Engineering QUESTION #2137

In a balanced three-phase star-connected system, what is the phase relationship between the line voltage $V_L$ and its corresponding phase voltage $V_{ph}$?

$V_L$ leads $V_{ph}$ by $30^\circ$✔️
$V_L$ lags $V_{ph}$ by $30^\circ$
$V_L$ and $V_{ph}$ are in phase
$V_L$ leads $V_{ph}$ by $120^\circ$

Correct Answer Logic:

In a star (Wye) connection, the line voltage is $\sqrt{3}$ times the phase voltage and leads the phase voltage by $30^\circ$.

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Quantitative Reasoning QUESTION #8044

Question 6702

ARRHYTHMIC: Choose the word most nearly opposite in meaning to this word.

timely
subordinate
terminal✔️
lacking precision

Correct Answer Logic:

ARRHYTHMIC means lacking a regular rhythm or pattern — irregular. Its antonym is exhibiting regularity (option E, placed here as option 4). Exhibiting regularity directly opposes arrhythmic by meaning consistent, patterned, and rhythmic. 'Timely' refers to punctuality. 'Lacking precision' is actually similar in meaning, not opposite.

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Math (Module-1) QUESTION #5462

Question 6703

A customer spent $\$27$ to purchase oranges at $\$3$ per pound. How many pounds did the customer purchase?

9✔️
8
10
7

Correct Answer Logic:

$\frac{27}{3} = 9$ pounds.

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English QUESTION #8364

Question 6704

Change to indirect speech: He said, 'The sun is stationary.'

He said that the sun is stationary✔️
He said that the sun was stationary
He said the sun is stationary
None of these

Correct Answer Logic:

Universal truth remains in present tense.

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English QUESTION #8419

Question 6705

I agreed _______ my brother's proposal and went with him.

With
Of
To✔️
On

Correct Answer Logic:

'Agreed to' a proposal is correct.

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Physics QUESTION #999

Question 6706

The maximum percentage error in the measurement of density of a wire is: [mass $= (0.60\pm0.003)\ \text{g}$, radius $= (0.50\pm0.01)\ \text{cm}$, length $= (10.00\pm0.05)\ \text{cm}$]

8
5✔️
4
7

Correct Answer Logic:

Density $\rho = \frac{m}{\pi r^2 l}$. $\frac{\Delta\rho}{\rho} = \frac{\Delta m}{m} + 2\frac{\Delta r}{r} + \frac{\Delta l}{l} = \frac{0.003}{0.60}+2\times\frac{0.01}{0.50}+\frac{0.05}{10.00} = 0.005+0.04+0.005 = 0.05 = 5\%$.

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Professional QUESTION #1832

Question 6707

Section 10 of the Civil Servants Act 1973 governs posting and transfer. Where a civil servant is required to serve in a post OUTSIDE his service or cadre, what protection is guaranteed regarding his pay?

His pay shall be enhanced by a special allowance
His pay shall be fixed at the scale of the new post
His terms and conditions as to pay shall not be less favourable than those he would have been entitled to had he not been required to serve outside his cadre✔️
His pay shall be determined by the authority ordering the transfer

Correct Answer Logic:

The second proviso to Section 10 protects the financial interests of a civil servant posted outside his service or cadre by ensuring his terms and conditions as to pay shall not be less favourable than those to which he would have been entitled had he not been required to serve outside his cadre.

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Urdu QUESTION #5180

Question 6708

'عکسِ خوشبو ہوں بکھرنے سے نہ روکے کوئی' یہ شعر کس کا ہے؟

میر تقی میر
پروین شاکر✔️
حسرت موہانی
ان میں سے کوئی نہیں

Correct Answer Logic:

یہ مشہور شعر پروین شاکر کا ہے جو اردو شاعری میں خوشبو کی علامت کے لیے مشہور ہیں۔

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General Knowledge QUESTION #7711

Question 6709

NATO formally invited which Nordic country to join the alliance after Russia's invasion of Ukraine in 2022?

Sweden✔️
Finland
Iceland
None of these

Correct Answer Logic:

Finland joined NATO in April 2023, and Sweden received formal invitation to join, completing the process in 2024. The question asks about formal invitation in context of 2022 events, which would be Sweden, though both Nordic countries sought membership after Russia's invasion of Ukraine.

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Boilers Mechanical Engineering QUESTION #2502

Question 6710

The relationship between the shear force $V$ and bending moment $M$ in a beam is:

$V = \frac{d^2M}{dx^2}$
$M = \frac{dV}{dx}$
$V = \frac{dM}{dx}$✔️
$\frac{dV}{dx} = M$

Correct Answer Logic:

From beam equilibrium: $V = dM/dx$. This means the shear force equals the slope of the bending moment diagram. Similarly, $dV/dx = -w$, where $w$ is the distributed load intensity.

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Statistics QUESTION #2007

Question 6711

In the confidence interval for $p_1 - p_2$, with $\hat{p}_1 = 62/100 = 0.62$ and $\hat{p}_2 = 69/150 = 0.46$, the estimated standard error $SE(\hat{p}_1 - \hat{p}_2)$ equals:

$\sqrt{\dfrac{0.62(0.38)}{100} + \dfrac{0.46(0.54)}{150}}$✔️
$\sqrt{\dfrac{0.62(0.38) + 0.46(0.54)}{250}}$
$\dfrac{0.62 - 0.46}{\sqrt{250}}$
$\sqrt{\dfrac{0.54 \times 0.46}{250}}$

Correct Answer Logic:

For independent samples and a confidence interval (not a hypothesis test), the SE is $\sqrt{\dfrac{\hat{p}_1(1-\hat{p}_1)}{n_1} + \dfrac{\hat{p}_2(1-\hat{p}_2)}{n_2}} = \sqrt{\dfrac{0.62 \times 0.38}{100} + \dfrac{0.46 \times 0.54}{150}}$. The pooled estimate is used only for hypothesis testing, not CI construction.

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Chemistry QUESTION #7381

Question 6712

In a hydrogen atom, electron transitions occur from $n=5$ to $n=2$, emitting a photon of wavelength 434 nm. What will be the wavelength of the photon emitted when the electron transitions from $n=4$ to $n=2$?

586.16 nm
48.608 nm
486 nm✔️
400.16 nm

Correct Answer Logic:

Using Rydberg formula: $\dfrac{1}{\lambda} = R_H\left(\dfrac{1}{n_1^2} - \dfrac{1}{n_2^2}\right)$

For $n=4 \to n=2$ (H$\beta$ line of Balmer series): $\dfrac{1}{\lambda} = R_H\left(\dfrac{1}{4} - \dfrac{1}{16}\right) = R_H \times \dfrac{3}{16}$

This gives $\lambda \approx 486$ nm (blue-green, visible Balmer series H$\beta$ line). The 434 nm line ($n=5\to2$) is H$\gamma$. These are well-known spectral lines of hydrogen.

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Security Measures to Maintain Law and Order QUESTION #838

Question 6713

To maintain law and order, the Federal Government may delegate its powers to the DG under:

Section 8
Section 9✔️
Section 11
Section 13

Correct Answer Logic:

Section 9 allows the Federal Government to delegate its powers to the DG or any other authority.

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Mathematics QUESTION #4125

Question 6714

For $f(z) = \frac{1}{z}$, writing $z = re^{i\theta}$, the Cauchy-Riemann equations in polar form are satisfied when:

$u_r = \frac{1}{r}v_\theta$ and $v_r = -\frac{1}{r}u_\theta$
$u_r = \frac{1}{r}u_\theta$ and $v_r = \frac{1}{r}v_\theta$
$ru_r = v_\theta$ and $rv_r = -u_\theta$
Both (A) and (C) are equivalent correct forms✔️

Correct Answer Logic:

Polar C-R equations: $\frac{\partial u}{\partial r} = \frac{1}{r}\frac{\partial v}{\partial \theta}$ and $\frac{\partial v}{\partial r} = -\frac{1}{r}\frac{\partial u}{\partial \theta}$, equivalent to $ru_r = v_\theta$ and $rv_r = -u_\theta$.

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Islamic Studies QUESTION #358

Question 6715

Social Boycott of Banu Hashim took place in Nabvi year:

6th
7th✔️
8th
9th

Correct Answer Logic:

The boycott began in the 7th year of Prophethood and lasted for three years.+1

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Ability / HR / Governance / Special Education QUESTION #1858

Question 6716

For how long must a vacancy be expected to last for an acting charge appointment to be made under Rule 8-B(4)?

Three months or more
Six months or more✔️
One year or more
Two years or more

Correct Answer Logic:

Rule 8-B(4) states acting charge appointments shall be made against posts which are likely to fall vacant for a period of six months or more.

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Boilers Mechanical Engineering QUESTION #2516

Question 6717

In normal-tangential (n-t) coordinates, the acceleration of a particle moving along a curved path with speed $v$ and radius of curvature $\rho$ is:

Only the tangential component $\dot{v}\,\hat{e}_t$
Only the normal component $\frac{v^2}{\rho}\hat{e}_n$
Both $a_t = \dot{v}$ tangentially and $a_n = \frac{v^2}{\rho}$ normally✔️
A single vector directed toward the center of curvature

Correct Answer Logic:

In n-t coordinates: $\mathbf{a}=\dot{v}\hat{e}_t + \frac{v^2}{\rho}\hat{e}_n$. The tangential component $a_t=\dot{v}$ reflects speed change; the normal (centripetal) component $a_n=v^2/\rho$ reflects direction change.

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Chemistry QUESTION #1002

Question 6718

Statement (I): Nitrogen, sulphur, halogen and phosphorus present in an organic compound are detected by Lassaigne's Test. Statement (II): The elements present in the compound are converted from covalent form into ionic form by fusing the compound with Magnesium in Lassaigne's test.

Statement I is false but Statement II is true
Both Statement I and Statement II are true
Both Statement I and Statement II are false
Statement I is true but Statement II is false✔️

Correct Answer Logic:

Statement I is correct — N, S, halogens, and P are detected by Lassaigne's test. Statement II is false — the compound is fused with sodium (Na), not magnesium (Mg), to convert covalent bonds into ionic form (e.g., $\text{NaCN, Na}_2\text{S, NaX}$).

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Sociology QUESTION #1672

Question 6719

Michel Foucault's concept of 'biopower' describes a historically specific modern form of power that operates not primarily through repression or juridical prohibition, but through which distinctive mechanism?

The control and regulation of entire populations through disciplinary techniques, normalization, and the administration of biological life itself✔️
The cultural shaping of biological traits through evolutionary selection pressure
The democratization and dispersal of knowledge to previously excluded populations
The reduction of human behavior to its biological and genetic determinants

Correct Answer Logic:

Foucault developed the concept of biopower in 'The History of Sexuality, Vol. 1' (1976) and 'Discipline and Punish' (1975) to describe modern power's focus on the management of life — both the disciplining of individual bodies (anatomo-politics) and the regulation of populations through statistics, public health, demography, and surveillance (biopolitics).

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English QUESTION #823

Question 6720

Pick the correct sentence about catching a first glimpse:

A day later he reached his first glimpse of Lahore.
A day later he took his first glimpse of Lahore.
A day later he found his first glimpse of Lahore.
A day later he caught his first glimpse of Lahore.✔️

Correct Answer Logic:

The correct collocation is 'catch a glimpse'. You catch a glimpse of something — not reach, take, or find it.

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