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Statistics QUESTION #1962

The paired t-test is most appropriately applied when observations in two samples satisfy which condition?

They are equal in number only
They are paired (matched)
They exhibit high correlation
All of the above✔️

Correct Answer Logic:

Paired t-test requires observations to be paired (matched), equal in number, and typically correlated. All three conditions together define the paired t-test setting.

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Pakistan Affairs QUESTION #9056

Question 302

The Chief Election Commissioner of Pakistan is appointed for a term of:

Five years✔️
As determined by the President
Same term as the assemblies
Three years

Correct Answer Logic:

The CEC serves a 5-year term.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2968

Question 303

Which glass type is most suitable for highly acidic or neutral parenteral preparations due to high chemical resistance?

Type I (Borosilicate)✔️
Type II (Treated Soda-lime)
Type III (Regular Soda-lime)
Type IV (General purpose)

Correct Answer Logic:

Type I glass (Borosilicate) has the highest chemical resistance and lowest thermal expansion.

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Urdu QUESTION #5067

Question 304

علامہ اقبال کا کون سا مجموعۂ کلام ان کی وفات کے بعد شائع ہوا؟

بانگِ درا
زبورِ عجم
ضربِ کلیم
ارمغانِ حجاز✔️

Correct Answer Logic:

ارمغانِ حجاز علامہ اقبال کا آخری مجموعۂ کلام ہے جو ان کی وفات (1938ء) کے بعد شائع ہوا۔

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Law QUESTION #9710

Question 305

Article 36 on admissions in civil cases — an admission is NOT relevant if made:

Verbally without witnesses
Upon an express condition that evidence of it is not to be given, or under circumstances showing parties agreed not to give evidence of it✔️
Without legal advice
Before the filing of the suit

Correct Answer Logic:

Article 36 states that in civil cases no admission is relevant if made either upon an express condition that evidence of it is not to be given, or under circumstances from which the Court can infer that the parties agreed together that evidence of it should not be given.

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Biology Zoology Botany QUESTION #1363

Question 306

In angiosperms, how many nuclei are present in a mature embryo sac?

6
7
8✔️
9

Correct Answer Logic:

A mature angiosperm embryo sac (megagametophyte) contains 8 nuclei organised into 7 cells: 3 antipodal cells (3 nuclei), 2 synergid cells (2 nuclei), 1 egg cell (1 nucleus), and 1 central cell with 2 polar nuclei (2 nuclei). Total = 3+2+1+2 = 8 nuclei in 7 cells. This is the standard Polygonum-type embryo sac.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3502

Question 307

'Catechu' (Katha) is primarily used in medicine as a/an:

Astringent✔️
Antibiotic
Vitamin
Hormone

Correct Answer Logic:

Astringents cause contraction of tissues and are used for diarrhea and skin ulcers.

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Mathematics QUESTION #967

Question 308

If $\displaystyle\int e^x\!\left(\dfrac{x\sin^{-1}x}{\sqrt{1-x^2}}+\dfrac{\sin^{-1}x}{(1-x^2)^{3/2}}+\dfrac{x}{1-x^2}\right)dx = g(x)+C$, where $C$ is the constant of integration, then $g\!\left(\dfrac{1}{2}\right)$ equals:

$\dfrac{\pi}{4}\sqrt{e^3}$
$\dfrac{\pi}{6}\sqrt{e^3}$✔️
$\dfrac{\pi}{4}\sqrt{e^2}$
$\dfrac{\pi}{6}\sqrt{e^2}$

Correct Answer Logic:

The integrand can be written as $\frac{d}{dx}\!\left[e^x \cdot \frac{x\sin^{-1}x}{\sqrt{1-x^2}}\right]$. So $g(x)=e^x\cdot\frac{x\sin^{-1}x}{\sqrt{1-x^2}}$. At $x=\frac{1}{2}$: $g\!\left(\frac{1}{2}\right)=e^{1/2}\cdot\frac{\frac{1}{2}\cdot\frac{\pi}{6}}{\frac{\sqrt{3}}{2}}=\frac{\pi}{6}\sqrt{e^3}$ after simplification.

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Ability / HR / Governance / Special Education QUESTION #1884

Question 309

Under Rule 5(1)(i) when the Authority is the President or Prime Minister who exercises the powers of the authority regarding suspension/leave?

The Federal Cabinet
The Chairman Senate
The Secretary Establishment Division✔️
The Chief Justice of Pakistan

Correct Answer Logic:

The proviso to Rule 5(1)(i) specifically states that where the authority is the President or Prime Minister these powers shall be exercised by the Secretary Establishment Division.

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Information Technology QUESTION #1149

Question 310

Which redundancy is reduced by using transform coding (like DCT) in image compression?

Coding redundancy
Spatial redundancy✔️
Inter-pixel redundancy
All of these

Correct Answer Logic:

Spatial redundancy (or inter-pixel redundancy) is reduced by transform coding, which decorrelates the pixels by converting them into frequency coefficients.

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Education QUESTION #7563

Question 311

The objectives of education as outlined under the Education Conference of 1947 included:

Conformity with Ideology of life
Economic development
Character formation
All of these✔️

Correct Answer Logic:

The 1947 Education Conference emphasized multiple objectives including ideological conformity, economic development, and character formation as key aims of the national education system.

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Mathematics QUESTION #4088

Question 312

If $\varphi: \mathbb{Z}_6 \to \mathbb{Z}_6$ is a one-to-one (injective) homomorphism, then $\ker(\varphi)$ is:

All of $\mathbb{Z}_6$
$\{0, 2, 4\}$
$\{0, 3\}$
$\{0\}$✔️

Correct Answer Logic:

A group homomorphism is injective if and only if its kernel is trivial (contains only the identity). Since $\varphi$ is one-to-one, $\ker(\varphi) = \{0\}$, the trivial subgroup of $\mathbb{Z}_6$.

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English QUESTION #8459

Question 313

Pick the correctly spelled word from the following:

Formidable✔️
Formidable
Firmidable
Pharmidable

Correct Answer Logic:

The correct spelling is 'Formidable' (option a).

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3450

Question 314

'Vitamin B2' is also known as:

Thiamine
Riboflavin✔️
Niacin
Biotin

Correct Answer Logic:

It is part of the co-enzymes $FAD$ and $FMN$.

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Library Sciences QUESTION #1560

Question 315

In library cataloguing, a 'main entry' under AACR2 is defined as:

The first subject heading assigned to a work
The complete bibliographic record under which a work is primarily listed, traditionally under the principal author's name✔️
The call number assigned to a physical item
The title page transcription of a work

Correct Answer Logic:

Under AACR2, the main entry is the primary access point in a catalogue record under which the complete bibliographic description is entered — traditionally the personal author, corporate body, or title (if authorship is diffuse or unknown). It determines the primary location of the record in an alphabetical catalogue.

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General Abilities QUESTION #7653

Question 316

If the sum and product of the roots of a quadratic equation are 55 and 66 respectively, which of the following represents the correct quadratic equation?

$x^2 - 55x + 66 = 0$✔️
$x^2 + 55x - 66 = 0$
$x^2 - 55x - 66 = 0$
None of these

Correct Answer Logic:

For a quadratic equation $x^2 - Sx + P = 0$, where S is the sum of roots and P is the product of roots. Given: sum = 55 and product = 66. Therefore, the equation is $x^2 - 55x + 66 = 0$. This follows from Vieta's formulas.

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English QUESTION #2648

Question 317

Complete the sentence: 'If she ___ hard, she will pass the exam.'

Work
Works✔️
Worked
Has worked

Correct Answer Logic:

In the first conditional, the 'if' clause uses Simple Present ('works') while the main clause uses 'will'.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3192

Question 318

The 'Absolute Refractory Period' of cardiac muscle is:

Very short
Very long✔️
Non-existent
Only occurs during sleep

Correct Answer Logic:

The long refractory period in heart muscle prevents tetanic contractions (cramping), allowing the heart to relax and fill.

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Civil Engineering QUESTION #6569

Question 319

Given a chord length of $30\,\text{m}$, the relationship between the radius $R$ (in metres) and the degree of curve $D$ (in degrees) is:

R = 1520/D
R = 1720/D
R = 4500/D✔️
R = 5400/D

Correct Answer Logic:

For a chord definition with chord $= 30\,\text{m}$: $R = \frac{1720}{D}$ uses 20 m chord; for a 30 m chord, $R = \frac{4500}{D}$ is the standard relation used in highway curves.

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Political Science QUESTION #6662

Question 320

In the theory of Social Contract, which thinker described the state of nature as 'solitary, poor, nasty, brutish, and short'?

John Locke
Thomas Hobbes✔️
Jean-Jacques Rousseau
None of these

Correct Answer Logic:

Thomas Hobbes used this description in 'Leviathan' to justify the need for an absolute sovereign.

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