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$\int_1^3\dfrac{1}{x^2}\,dx=\left[-\dfrac{1}{x}\right]_1^3=-\dfrac{1}{3}+1=\dfrac{2}{3}$. This is the exact value; the Trapezoidal Rule approximation approaches this as the step size decreases.

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Urdu QUESTION #5159

Question 1426

تصدیق کا متضاد کیا ہے؟

تغزیب
تکذیب✔️
انکار
ان میں سے کوئی نہیں

Correct Answer Logic:

تصدیق کا متضاد تکذیب ہے جس کے معنی ہیں جھٹلانا یا غلط ثابت کرنا۔

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Security Measures to Maintain Law and Order QUESTION #930

Question 1427

What is the primary function of a 'Sterile Area' in an airport?

Cleanliness and hygiene
Ensuring passengers have no prohibited items✔️
Providing a quiet zone for VIPs
Housing the airport's IT servers

Correct Answer Logic:

A sterile area is a high-security zone where everyone and everything has been screened for threats.

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Physics and Math QUESTION #737

Question 1428

The time period of a second pendulum from its extreme to mean position:

T
T/4
T/2
2 sec✔️

Correct Answer Logic:

A second pendulum has T = 2 seconds for a complete oscillation. From extreme to mean position is T/4 = 0.5 s. The answer '2 sec' refers to the full time period of a second pendulum.

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Biology QUESTION #526

Question 1429

The soluble part of the cytoplasm is termed as

Cisternae
Cytosol✔️
Endocytosis
Both A and B

Correct Answer Logic:

Cytosol is the soluble portion of cytoplasm

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3091

Question 1430

A fracture where the bone breaks the skin is called a:

Simple fracture
Greenstick fracture
Compound (Open) fracture✔️
Comminuted fracture

Correct Answer Logic:

In a compound fracture, the bone pierces the skin, increasing the risk of infection.

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Electrical Engineering QUESTION #2135

Question 1431

In a purely inductive circuit, if the frequency of the AC supply is doubled, what happens to the current $I$ flowing through the circuit?

It is doubled
It is halved✔️
It remains the same
It becomes four times

Correct Answer Logic:

Inductive reactance $X_L = 2\pi fL$ is directly proportional to frequency $f$. Doubling $f$ doubles $X_L$, which halves the current $I = V/X_L$.

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MCQs Section QUESTION #4865

Question 1432

Choose the correct antonym of "FRUGAL"

Prodigal
Intemperate
Extravagant✔️
Profuse

Correct Answer Logic:

Frugal means sparing or economical with money and resources. Its antonym is 'extravagant,' meaning spending much more than is necessary or lacking restraint in spending.

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Security Measures to Maintain Law and Order QUESTION #919

Question 1433

How should security staff handle a person exhibiting aggressive behavior?

Immediate physical restraint
De-escalation and calm communication✔️
Ignoring the behavior
Forcing the person to leave

Correct Answer Logic:

Calm communication and de-escalation techniques are the first steps to preventing a physical altercation.

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General Knowledge QUESTION #174

Question 1434

Arshad Nadeem won the Olympic Gold Medal by throwing the Javelin to:

81.55 meters
81.21 meters
82.15 meters
None of these✔️

Correct Answer Logic:

He set an Olympic record with a massive throw of 92.97 meters.

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Basic Mathematics QUESTION #2849

Question 1435

Find the area of a rectangle with length 15 m and breadth 8 m.

90 m²
100 m²
120 m²✔️
125 m²

Correct Answer Logic:

Area of rectangle $= \text{length} \times \text{breadth} = 15 \times 8 = 120 \text{ m}^2$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3259

Question 1436

Which enzyme breaks down 'Proteins' in the highly acidic environment of the stomach?

Amylase
Lipase
Pepsin✔️
Trypsin

Correct Answer Logic:

Pepsinogen is converted to active pepsin by stomach acid ($HCl$).

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Electrical Engineering QUESTION #2150

Question 1437

A $50\text{ kVA}$ transformer has a copper loss of $800\text{ W}$ at full load. What will be the copper loss at half load?

$400\text{ W}$
$200\text{ W}$✔️
$100\text{ W}$
$600\text{ W}$

Correct Answer Logic:

Copper loss varies as the square of the load ($P_{cu} \propto I^2$). At half load, the loss is $(\frac{1}{2})^2 \times 800\text{ W} = \frac{1}{4} \times 800\text{ W} = 200\text{ W}$.

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Basic Mathematics QUESTION #4585

Question 1438

If average of $6$ numbers is $15$ and one number is removed, average becomes $14$. What number was removed?

$20$✔️
$6$
$14$
$15$

Correct Answer Logic:

Original sum = $6 \times 15 = 90$. New sum = $5 \times 14 = 70$. Removed = $90 - 70 = 20$

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Womens Health [Obs] [Gyn] QUESTION #3922

Question 1439

A 35-year-old multiparous woman presents with heavy and painful menstrual periods (menorrhagia and dysmenorrhea) for the past 6 months. Physical examination shows a symphysis-fundal height of $14$ weeks, with a firm, irregular, and non-tender uterus. What is the most likely diagnosis?

Uterine leiomyomata (fibroids)✔️
Endometrial hyperplasia
Adenomyosis
Endometrial carcinoma

Correct Answer Logic:

No explanation provided for this question.

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Mathematics QUESTION #1319

Question 1440

The gradient operator $\nabla$ in Cartesian coordinates acts on a scalar field $\phi$ to give:

$\dfrac{\partial\phi}{\partial x}+\dfrac{\partial\phi}{\partial y}+\dfrac{\partial\phi}{\partial z}$
$\dfrac{\partial\phi}{\partial x}\hat{i}+\dfrac{\partial\phi}{\partial y}\hat{j}+\dfrac{\partial\phi}{\partial z}\hat{k}$✔️
$\left(\dfrac{\partial^2\phi}{\partial x^2}+\dfrac{\partial^2\phi}{\partial y^2}+\dfrac{\partial^2\phi}{\partial z^2}\right)$
$\phi\left(\hat{i}+\hat{j}+\hat{k}\right)$

Correct Answer Logic:

$\nabla\phi=\text{grad}\,\phi=\dfrac{\partial\phi}{\partial x}\hat{i}+\dfrac{\partial\phi}{\partial y}\hat{j}+\dfrac{\partial\phi}{\partial z}\hat{k}$. It is a vector field giving the direction and rate of maximum increase of the scalar field $\phi$.

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