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Physics QUESTION #7331

A force $\vec{F} = 6t^2\,\hat{i} + 4t\,\hat{j}$ acts on a particle of mass $3\text{ kg}$, initially at rest. Find its velocity at $t = 3\text{ s}$.

$18\hat{i}+6\hat{j}$✔️
$18\hat{i}+12\hat{j}$
$12\hat{i}+6\hat{j}$
None of these

Correct Answer Logic:

Acceleration: $\vec{a} = \dfrac{\vec{F}}{m} = 2t^2\,\hat{i} + \dfrac{4t}{3}\,\hat{j}$

Velocity: $\vec{v} = \displaystyle\int_0^3 \vec{a}\,dt = \left[\dfrac{2t^3}{3}\,\hat{i} + \dfrac{2t^2}{3}\,\hat{j}\right]_0^3 = \dfrac{2(27)}{3}\,\hat{i} + \dfrac{2(9)}{3}\,\hat{j} = \mathbf{18\hat{i} + 6\hat{j}}$

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The Constitution of Pakistan QUESTION #9355

Question 2

Under Article 239(5), as substituted by the 27th Amendment 2025, courts now have what jurisdiction over constitutional amendments?

Plenary power to review on all grounds
Can review only if fundamental rights are violated
No court shall have jurisdiction to call in question any amendment to the Constitution on any ground whatsoever✔️
Can review if the amendment violates the basic structure doctrine

Correct Answer Logic:

Article 239(5) as substituted by the 27th Amendment 2025 completely ousts all judicial jurisdiction: 'no court shall have jurisdiction to call in question any amendment to the Constitution on any ground whatsoever.' Article 239(6) further declares there is 'no limitation whatever' on Parliament's amending power.

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Planning QUESTION #5024

Question 3

In social impact assessment, what is the 'displacement effect'?

Physical relocation of residents✔️
Psychological impact of change
Economic loss
Environmental degradation

Correct Answer Logic:

Displacement (direct or indirect/economic) involves forced relocation of residents due to development projects. Direct displacement is physical removal; economic displacement occurs when rising costs force residents out. Both have severe social impacts requiring mitigation measures and resettlement assistance.

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Boilers Mechanical Engineering QUESTION #2550

Question 4

For a composite area, the centroidal x-coordinate $\bar{x}$ of the composite is:

$\bar{x}=\frac{\sum A_i}{\sum A_i\bar{x}_i}$
$\bar{x}=\frac{\sum A_i\bar{x}_i}{\sum A_i}$✔️
$\bar{x}=\frac{1}{n}\sum\bar{x}_i$
$\bar{x}=\sum A_i\bar{x}_i$

Correct Answer Logic:

The centroid is found by dividing the first moment of the entire area by the total area: $\bar{x}=\frac{\sum A_i\bar{x}_i}{A_{total}}$. Simple arithmetic mean of centroids (option 3) is wrong because it does not account for area weighting.

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Math (Module-1) QUESTION #5475

Question 5

A right triangle has sides of length $2\sqrt{2}, 6\sqrt{2}$, and $\sqrt{80}$ units. What is the area of the triangle, in square units?

$\sqrt{82} + \sqrt{80}$
12✔️
$24\sqrt{80}$
24

Correct Answer Logic:

Legs are $2\sqrt{2}$ and $6\sqrt{2}$ because $(2\sqrt{2})^2 + (6\sqrt{2})^2 = 8 + 72 = 80 = (\sqrt{80})^2$. Area $= \frac{1}{2} \times 2\sqrt{2} \times 6\sqrt{2} = 12$.

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MCQs Section QUESTION #4888

Question 6

Which word is opposite to "PRETEND"

Sham
Substantiate✔️
Feign
Fabricate

Correct Answer Logic:

Pretend means to act as if something is true when it is not. Its antonym is Substantiate, meaning to provide evidence to prove something as real and true.

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Urdu QUESTION #5051

Question 7

انکار کی شاعرہ کون ہیں؟

نوشی گیلانی✔️
پروین شاکر
ادا جعفری
ریحانہ قمر

Correct Answer Logic:

نوشی گیلانی اردو کی مشہور شاعرہ ہیں جن کا مجموعہ 'انکار' خاصا مقبول ہوا۔

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ETAG General Aptitude QUESTION #3769

Question 8 (Select all that apply)

Which of the following numbers are prime numbers between 1 and 10?

2✔️
3✔️
4
5✔️

Correct Answer Logic:

2, 3, and 5 are prime numbers. 4 is a composite number ($2 \times 2$).

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Accounting & Finance QUESTION #6105

Question 9

Vehicle X cost $80,000, useful life 5 years, residual value $5,000, depreciated straight-line. After 3 years, part-exchange value was $20,000. What was the loss on disposal?

$12,000
$15,000✔️
$24,000
$30,000

Correct Answer Logic:

Option B ($15,000) is correct.

Annual depreciation = ($80,000 − $5,000) ÷ 5 = $15,000

Accumulated depreciation after 3 years = $45,000

Carrying value = $80,000 − $45,000 = $35,000

Loss on disposal = $35,000 − $20,000 = $15,000

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Verbal Reasoning QUESTION #8161

Question 10

The ratio $\dfrac{1}{3} : \dfrac{3}{8}$ is equal to which of the following ratios?

$1$ to $8$
$8$ to $1$
$8$ to $3$
$8$ to $9$✔️

Correct Answer Logic:

To find the ratio $\dfrac{1}{3} : \dfrac{3}{8}$, divide the first by the second:

$\dfrac{1/3}{3/8} = \dfrac{1}{3} \times \dfrac{8}{3} = \dfrac{8}{9}$

So the ratio is $\dfrac{8}{9}$, which means $8$ to $9$.

You can verify: multiply both original fractions by 24 (the LCM of 3 and 8): $\dfrac{1}{3} \times 24 = 8$ and $\dfrac{3}{8} \times 24 = 9$. Ratio is $8:9$.

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Physics and Math QUESTION #775

Question 11

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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CISA QUESTION #1733

Question 12

Which of the following most accurately describes the respective responsibilities of the data owner, data user, and data custodian?

The data user is responsible for implementing security controls as required.
The data custodian defines what constitutes acceptable use of the data.
The data owner is responsible for specifying the appropriate controls over the data.✔️
The data custodian determines the security classification of the data.

Correct Answer Logic:

In an information governance framework: the data owner is responsible for defining controls, specifying acceptable use policies, and appointing the data custodian. The data custodian is responsible for protecting the data, ensuring its availability, and supporting users. Data users must comply with the acceptable use policy and report any violations they observe. The data owner — not the custodian — holds ultimate responsibility for data classification and control specification.

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Civil / Architecture QUESTION #2344

Question 13

For a steel compression member using AISC LRFD, the design compressive strength with $\phi_c = 0.90$ for the inelastic buckling range where $\lambda_c \leq 1.5$ uses:

$F_{cr} = \left(\dfrac{0.877}{\lambda_c^2}\right) F_y$
$F_{cr} = \left(0.658^{\lambda_c^2}\right) F_y$✔️
$F_{cr} = \dfrac{\pi^2 E}{(KL/r)^2}$
$F_{cr} = F_y (1 - 0.25\lambda_c^2)$

Correct Answer Logic:

Per AISC LRFD: For $\lambda_c \leq 1.5$ (inelastic): $F_{cr} = (0.658^{\lambda_c^2}) F_y$. For $\lambda_c > 1.5$ (elastic): $F_{cr} = (0.877/\lambda_c^2) F_y$. The slenderness parameter $\lambda_c = \dfrac{KL}{r\pi}\sqrt{\dfrac{F_y}{E}}$. The design strength is $\phi_c P_n = 0.90 F_{cr} A_g$.

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Physics QUESTION #7052

Question 14

A cube at $0^\circ\text{C}$ is subjected to external pressure $P$, causing equal compression on all sides. If $K$ is the material's bulk modulus and $\alpha$ is the linear expansion coefficient, what temperature increase is required to restore the cube to its original volume?

$3 PK \alpha$
$\frac{P}{3\alpha K}$✔️
$\frac{P}{\alpha K}$
$\frac{3\alpha}{PK}$

Correct Answer Logic:

From the definition of Bulk Modulus $K$:

$\frac{\Delta V}{V} = \frac{P}{K}$ (Volume strain due to pressure)

From thermal expansion, the increase in volume is:

$\frac{\Delta V}{V} = \gamma \Delta T = 3\alpha \Delta T$

To restore the original size, the thermal expansion must equal the pressure compression:

$3\alpha \Delta T = \frac{P}{K} \implies \Delta T = \frac{P}{3\alpha K}$

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Administration QUESTION #9573

Question 15

The concept of 'public goods' is foundational to justifying government intervention in the economy. Which of the following best identifies a situation where a good that is technically public could lose its non-rival character?

A lighthouse in a busy shipping lane during normal traffic — its guidance signal is available to all ships without depletion
A public park at normal occupancy — all visitors can use it simultaneously without reducing others' enjoyment
A congested public road during peak hours — additional vehicles reduce traffic flow and increase travel time for all existing users✔️
National defence — the protection provided to one citizen does not reduce protection available to others

Correct Answer Logic:

Public goods are non-excludable (cannot prevent use) and non-rival (use by one does not reduce availability for others). Option C describes congestion — when a public road reaches capacity, additional users impose costs on existing users (reduced speed, increased travel time), making the good rival at the margin. This is the concept of 'congestible public goods' or 'club goods,' illustrating that non-rivalry is conditional on usage levels.

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Physics QUESTION #1057

Question 16

A sphere of radius $R$ is cut from a larger sphere of radius $2R$. Ratio of moment of inertia of smaller sphere to rest part about Y-axis:

$\dfrac{7}{57}$
$\dfrac{7}{64}$
$\dfrac{7}{8}$
$\dfrac{7}{40}$✔️

Correct Answer Logic:

Let density $=\rho$. Mass of large sphere: $M=\frac{4}{3}\pi(2R)^3\rho=\frac{32\pi R^3\rho}{3}$. Mass of small sphere: $m=\frac{4}{3}\pi R^3\rho=\frac{M}{8}$. $I_{small}=\frac{2}{5}mR^2$. Small sphere center is at $R$ from Y-axis (it's cut from side). $I_{small,Y}=\frac{2}{5}mR^2+mR^2=\frac{7mR^2}{5}$. $I_{large,Y}=\frac{2}{5}M(2R)^2=\frac{8MR^2}{5}$. $I_{rest}=I_{large}-I_{small,Y}=\frac{8MR^2}{5}-\frac{7mR^2}{5}=\frac{8MR^2-7(M/8)R^2}{5}=\frac{MR^2(8-7/8)}{5}=\frac{57MR^2}{40}$. Ratio $=\frac{7mR^2/5}{57MR^2/40}=\frac{7M/5\times40}{8\times57M}=\frac{7\times40}{5\times8\times57}=\frac{280}{2280}=\frac{7}{57}$.

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General Knowledge QUESTION #8628

Question 17

What does the term 'Brain Drain' refer to?

A mad person
Migration of skilled labor to other countries✔️
Emigration of intellectuals
Illiteracy and ignorance

Correct Answer Logic:

Brain drain is the emigration of highly trained professionals.

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Urdu QUESTION #1401

Question 18

ماہِ تمام کس شاعرہ کا کلیات ہے؟

کشور ناہید
پروین شاکر
فہمیدہ ریاض
ادا جعفری✔️

Correct Answer Logic:

''ماہِ تمام'' ادا جعفری کا کلیات ہے۔ ادا جعفری (1924–2015) پاکستان کی پہلی اہم خاتون شاعرہ مانی جاتی ہیں۔ ان کا اصل نام عزیز جہاں تھا۔ انہوں نے محبت، نسائی احساسات اور انسانی رشتوں کو اپنی شاعری کا موضوع بنایا۔ ان کے دیگر مجموعوں میں ''میں ساز ڈھونڈتی رہی'' شامل ہے۔

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