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General Abilities QUESTION #7939

Question 421

If $X = \sqrt{1.69} - \sqrt{0.01}$, then the value of $X$ is:

1.2✔️
1.68
11.99
12

Correct Answer Logic:

$\sqrt{1.69} = 1.3$ and $\sqrt{0.01} = 0.1$.
Therefore $X = 1.3 - 0.1 = 1.20$.

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General Knowledge QUESTION #2607

Question 422

A staff member receives a suspicious email that appears to be from their bank, asking for their password. The fraudster who created this email used knowledge of hiding deceptive messages from victims. This misuse relates to which computing discipline?

Abstraction
Open Source
Cryptography✔️
ASCII Encoding

Correct Answer Logic:

Cryptography covers the practice of coding and hiding messages from third parties. Cybercriminals misuse this concept in phishing attacks — crafting deceptive messages disguised as legitimate communications to steal sensitive information. Awareness of cryptography helps identify such threats.

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Math (Module-1) QUESTION #5475

Question 423

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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Library Sciences QUESTION #1557

Question 424

Which of the following reference source types would a librarian consult to identify all works published within Pakistan during a given year?

A union catalogue
A trade bibliography
A national bibliography✔️
A subject index

Correct Answer Logic:

A national bibliography systematically records all works published within a country during a specified period. In Pakistan, this function is partially served by the National Library of Pakistan. It is distinct from a trade bibliography (which lists commercially available items) or a subject index.

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Urdu QUESTION #5284

Question 425

پنجاب میں اردو کس کی کتاب ہے؟

اختر شیرانی
زاہد شیرانی
محمود شیرانی✔️
ان میں سے کوئی نہیں

Correct Answer Logic:

پنجاب میں اردو محمود شیرانی کی مشہور تحقیقی تصنیف ہے۔

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Mathematics QUESTION #6010

Question 426

Consider the differential equation $\dfrac{dy}{dx} + \dfrac{3}{\cos^2 x}\,y = \dfrac{1}{\cos^2 x}$, for $x\in\!\left(-\dfrac{\pi}{3},\dfrac{\pi}{3}\right)$. Given $y\!\left(\dfrac{\pi}{4}\right)=\dfrac{4}{3}$, find $y\!\left(-\dfrac{\pi}{4}\right)$.

$\dfrac{1}{3}+e^6$
$\dfrac{1}{3}$
$-\dfrac{4}{3}$
$\dfrac{1}{3}+e^3$✔️

Correct Answer Logic:

This is a linear ODE with $P = 3\sec^2 x$ and $Q = \sec^2 x$.

Integrating factor: $e^{\int 3\sec^2 x\,dx} = e^{3\tan x}$

$\frac{d}{dx}(ye^{3\tan x}) = \sec^2 x \cdot e^{3\tan x}$

Integrate: $ye^{3\tan x} = \frac{1}{3}e^{3\tan x} + C$

At $x=\pi/4$, $\tan(\pi/4)=1$, $y=4/3$: $\frac{4}{3}e^3 = \frac{1}{3}e^3 + C \Rightarrow C = e^3$

So $y = \frac{1}{3} + e^3 \cdot e^{-3\tan x}$

At $x=-\pi/4$, $\tan(-\pi/4)=-1$: $y = \frac{1}{3} + e^3 \cdot e^{3} = \frac{1}{3} + e^3$... wait: $e^{-3(-1)}=e^3$, so $y = \frac{1}{3}+e^3 \cdot e^3 = \frac{1}{3}+e^6$.

Correct: $y(-\pi/4) = \mathbf{\frac{1}{3}+e^6}$. So correct option index is 0.

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Urdu QUESTION #5043

Question 427

پاکستان کا قومی ترانہ حفیظ جالندھری کی کس کتاب میں شامل ہے؟

روشن چراغ
چراغِ عصر
چراغِ سحر✔️
ان میں سے کوئی نہیں

Correct Answer Logic:

قومی ترانہ حفیظ جالندھری نے لکھا۔ یہ ان کی کتاب 'چراغِ سحر' میں شامل ہے۔

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Physics QUESTION #7093

Question 428

A particle starts at $(2, 4)$ at $t=0$ with velocity $(5\hat{i}+4\hat{j})$. Constant acceleration is $(4\hat{i}+4\hat{j})$. Find its distance from the origin at $t=2\text{ s}$.

15 m
$20\sqrt{2}\text{ m}$✔️
5 m
$10\sqrt{2}\text{ m}$

Correct Answer Logic:

Using $\vec{s} = \vec{r}_0 + \vec{u}t + \frac{1}{2}\vec{a}t^2$:

$x = 2 + 5(2) + \frac{1}{2}(4)(2^2) = 2 + 10 + 8 = 20$
$y = 4 + 4(2) + \frac{1}{2}(4)(2^2) = 4 + 8 + 8 = 20$
Distance from origin $D = \sqrt{20^2 + 20^2} = 20\sqrt{2}\text{ m}$.

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Chemistry QUESTION #4338

Question 429

The IUPAC name of $(CH_3)_3CCH_2Br$ is:

1-bromopentane
1-bromo-2,2-trimethylethane
1-bromo-2,2-dimethylpropane✔️
2-bromopentane

Correct Answer Logic:

The parent chain has 3 carbons (propane). There are two methyl groups on carbon 2, and a bromo group on carbon 1. IUPAC name: 1-bromo-2,2-dimethylpropane.

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General Knowledge QUESTION #4772

Question 430

The UN General Assembly normally commences its annual session in which month?

August
September✔️
October
November

Correct Answer Logic:

The United Nations General Assembly holds its main session annually beginning in September, with the general debate typically starting in the third week of September.

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Security Measures to Maintain Law and Order QUESTION #848

Question 431

"Profiling" in security measures to maintain order refers to:

Taking photos
Assessing behavioral patterns✔️
Checking bank balance
Social media monitoring

Correct Answer Logic:

Behavioral profiling helps identify individuals who may pose a threat to law and order based on suspicious patterns.

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Accounting & Finance QUESTION #6227

Question 432

If an auditor is guilty of 'Misfeasance', it implies:

A breach of duty resulting in financial loss to the company✔️
A failure to pay the professional membership fee to ICAP
A simple mathematical error in the tax calculation
The auditor was not a Chartered Accountant

Correct Answer Logic:

Misfeasance means a breach of duty where the auditor does something wrong in the performance of their duties, leading to loss.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3665

Question 433

'Garlic' is known for its sulfur-containing constituent called:

Allicin✔️
Reserpine
Eugenol
Atropine

Correct Answer Logic:

Allicin provides the medicinal properties and odor of garlic.

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Boilers Mechanical Engineering QUESTION #2414

Question 434

The hoop (circumferential) stress $\sigma_h$ in a thin-walled cylinder (wall thickness $t$, internal diameter $d$, internal pressure $p$) is:

$\sigma_h = pd/(4t)$
$\sigma_h = pd/(2t)$✔️
$\sigma_h = 2pd/t$
$\sigma_h = pt/d$

Correct Answer Logic:

For a thin-walled cylinder ($t<0.1d$), hoop stress: $\sigma_h=pd/(2t)=pr/t$. The longitudinal stress is half: $\sigma_l=pd/(4t)=\sigma_h/2$.

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Islamic Studies QUESTION #232

Question 435

Which of the following is among the Ummahat ul Momineen?

Khaula
Umme Hani
Atiya
None of these✔️

Correct Answer Logic:

None of the listed names are among the primary wives of the Prophet (ﷺ).

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Math (Module-1) QUESTION #5380

Question 436

A linear function $f$ is represented in the accompanying graph, where $y = f(x)$. What is the $y$-intercept of this function's graph?

$(0, 0)$
$(0, -\frac{16}{11})$
$(0, -8)$
$(0, 8)$✔️

Correct Answer Logic:

The $y$-intercept is the point where the line crosses the vertical $y$-axis. Observing the graph, the line crosses at $y = 8$.

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General Knowledge QUESTION #4799

Question 437

Who was the first Chief Minister of Balochistan from May 1972 to February 1973?

Sher Bux Marri
Sardar Attaullah Mengal✔️
Nawab Akbar Bugti
Ghaus Bux Bizenjo

Correct Answer Logic:

Sardar Attaullah Mengal served as the first Chief Minister of Balochistan from May 1972 to February 1973, leading the National Awami Party (NAP) government.

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General Knowledge QUESTION #4478

Question 438

The development that meets present needs without compromising future generations is called:

Sustainable Development✔️
Green Development
Positive Development
None of these

Correct Answer Logic:

Definition of sustainable development from Brundtland Report.

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Ability / HR / Governance / Special Education QUESTION #1847

Question 439

The Departmental Promotion Committee is constituted for selection for promotion/transfer to posts in which basic pay scales?

BPS 1 to 15
BPS 16 to 18
BPS 18 and below✔️
BPS 19 to 21

Correct Answer Logic:

Rule 2(d) defines DPC as a committee for making selection for promotion or transfer to posts in basic pay scales 18 and below and equivalent.

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Physics QUESTION #7292

Question 440

The coordinates of a particle at any time $t$ are $x = 5t - 2t^2$ and $y = 10t$ (metres, seconds). The acceleration of the particle at $t = 2\text{ s}$ is:

$5\text{ m/s}^2$
$-4\text{ m/s}^2$✔️
$-8\text{ m/s}^2$
$0$

Correct Answer Logic:

$a_x = \dfrac{d^2x}{dt^2} = -4\text{ m/s}^2$ (constant)

$a_y = \dfrac{d^2y}{dt^2} = 0$

Acceleration vector $= -4\hat{i}\text{ m/s}^2$ at all times, including $t = 2\text{ s}$. Magnitude $= \mathbf{4\text{ m/s}^2}$, directed in $-x$ direction.

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