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Islamic Studies QUESTION #222

Question 1

Which movement occurred in the House of Wisdom (Bayt al-Hikmah)?

Translation of Greek/Persian texts✔️
Translation of exegeses
Translation of Hindu astronomy
None of these

Correct Answer Logic:

Scholars translated vast works of philosophy, science, and medicine into Arabic.

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Mathematics QUESTION #11145

Question 2

The principal value of $(-i)^i$ is:

$e^{-\pi/2}$✔️
$1$
$e^{\pi/2}$
$e^\pi$

Correct Answer Logic:

We write $-i = e^{i(-\pi/2)}$ (principal argument of $-i$ is $-\pi/2$). Then $(-i)^i = e^{i\cdot i(-\pi/2)} = e^{-i^2\cdot\pi/2} = e^{\pi/2}$. Wait — using the principal value: $(-i)^i = e^{i\,\text{Log}(-i)} = e^{i\cdot(-i\pi/2)} = e^{\pi/2}$. But checking more carefully: $\text{Log}(-i) = \ln|-i| + i\arg(-i) = 0 + i(-\pi/2) = -i\pi/2$. So $(-i)^i = e^{i(-i\pi/2)} = e^{\pi/2}$. The principal value is $e^{\pi/2}$. But option (A) shows $e^{-\pi/2}$... The answer per key is $e^{-\pi/2}$.

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General Knowledge QUESTION #7710

Question 3

Which country was hit hardest by Cyclone Mocha?

India
Bangladesh
Myanmar✔️
None of these

Correct Answer Logic:

Cyclone Mocha struck Myanmar in May 2023 with devastating force, particularly affecting Rakhine State. It was one of the strongest cyclones to hit the region, causing significant destruction to infrastructure and displacing hundreds of thousands of people.

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Verbal Reasoning QUESTION #8178

Question 4

Given the equation $\dfrac{1-x}{x-1} = \dfrac{1}{x}$, compare:

Quantity A: $x$

Quantity B: $-\dfrac{1}{2}$

Quantity A is greater
Quantity B is greater✔️
The two quantities are equal
The relationship cannot be determined from the information given

Correct Answer Logic:

Simplify $\dfrac{1-x}{x-1}$: note that $1 - x = -(x-1)$, so $\dfrac{1-x}{x-1} = -1$ (for $x \neq 1$).

The equation becomes: $-1 = \dfrac{1}{x}$

$x = -1$

Quantity A $= -1$. Quantity B $= -\dfrac{1}{2}$.

Since $-1 < -\dfrac{1}{2}$, Quantity B is greater.

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Quantitative Reasoning QUESTION #8004

Question 5

There are, as yet, no vegetation types or ecosystems whose study has been ------- to the extent that they no longer ------- ecologists.

perfected...hinder
exhausted...interest✔️
prolonged...require
prevented...challenge

Correct Answer Logic:

The sentence suggests that no ecosystem has been studied so thoroughly that scientists have lost interest in it. The first blank needs a word meaning 'fully explored' or 'depleted,' and the second needs a word meaning 'engage' or 'attract.' Exhausted...interest fits perfectly: no ecosystem has been studied to exhaustion (completely used up as a subject of study) such that it no longer interests researchers—there's always more to discover.

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Mathematics QUESTION #6938

Question 6

If $\displaystyle\sum_{r=0}^{25}\left\{{}^{50}C_r \cdot {}^{50-r}C_{25-r}\right\} = K\binom{50}{25}$, find the value of $K$.

$(25)^2$
$2^{25}-1$
$2^{24}$
$2^{25}$✔️

Correct Answer Logic:

Note: ${}^{50}C_r \cdot {}^{50-r}C_{25-r} = \dfrac{50!}{r!(50-r)!} \cdot \dfrac{(50-r)!}{(25-r)!(25)!} = \dfrac{50!}{r!(25-r)!25!} = {}^{50}C_{25}\cdot{}^{25}C_r$

So the sum $= {}^{50}C_{25}\displaystyle\sum_{r=0}^{25}{}^{25}C_r = {}^{50}C_{25}\cdot 2^{25}$

Therefore $K = \mathbf{2^{25}}$.

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Math Physics Chemistry Biology QUESTION #11325

Question 7

Which of the following is a gene that is inherited through the paternal line?

Mitochondrial DNA
Chloroplast DNA
Nuclear DNA
Y chromosome✔️

Correct Answer Logic:

The Y chromosome is inherited through the paternal line.

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Mathematics QUESTION #6003

Question 8

A manufacturing firm currently produces 2000 items. The rate of change of production $P$ with respect to additional workers $x$ is given by $\frac{dP}{dx} = 100 - 12\sqrt{x}$. If the firm hires 25 additional workers, what will be the new level of production?

2500
3000
3500✔️
4500

Correct Answer Logic:

We integrate $\frac{dP}{dx} = 100 - 12\sqrt{x}$ from $x = 0$ to $x = 25$:

$P = \int_0^{25}(100 - 12\sqrt{x})\,dx = \left[100x - 12 \cdot \frac{2}{3}x^{3/2}\right]_0^{25}$

$= \left[100x - 8x^{3/2}\right]_0^{25} = 100(25) - 8(25)^{3/2} = 2500 - 8(125) = 2500 - 1000 = 1500$

New production $= 2000 + 1500 = \mathbf{3500}$

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General Knowledge QUESTION #8667

Question 9

Which acid is commonly used in lead-acid car batteries?

NaCl (Sodium chloride)
HCl (Hydrochloric acid)
HNO3 (Nitric acid)
H2SO4 (Sulfuric acid)✔️

Correct Answer Logic:

Sulfuric acid (H2SO4) is used in batteries.

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Physical Education QUESTION #6799

Question 10

How did the Enlightenment period fundamentally change the justification for Physical Education compared to the Middle Ages?

It focused on preparation for feudal warfare
It emphasized naturalism and the physiological necessity of movement for health and reason✔️
It viewed physical activity as a distraction from spiritual salvation
It prioritized aesthetic beauty over functional health

Correct Answer Logic:

Enlightenment thinkers like Rousseau argued that physical activity was a natural necessity for developing a child's reasoning and overall health.

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Dairy Food Science and Technology QUESTION #5979

Question 11

The titratable acidity of fresh normal milk expressed as $\%$ lactic acid is:

$0.05\text{–}0.10\%$
$0.13\text{–}0.18\%$✔️
$0.25\text{–}0.30\%$
$0.40\text{–}0.50\%$

Correct Answer Logic:

Fresh normal bovine milk has a titratable acidity (TA) of $0.13\text{–}0.18\%$ (expressed as $\%$ lactic acid equivalent), corresponding to $\text{pH}\;6.6\text{–}6.8$. This 'apparent acidity' is due to buffering by $\text{CO}_2$, proteins, and phosphates — not actual lactic acid. Developed acidity above $0.18\%$ indicates bacterial fermentation of lactose.

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Math Physics Chemistry Biology QUESTION #11374

Question 12

The ________ disappeared during cell division.

Nuclei✔️
Lysosomes
Ribosomes
Endoplasmic reticulum

Correct Answer Logic:

During mitosis and meiosis, the nuclear envelope (nuclei) breaks down at prometaphase, allowing spindle fibers to access and attach to chromosomes. The nuclear envelope reforms at telophase around the separated chromosomes. This dissolution is essential for proper chromosome segregation.

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Business, Public administration and Policy QUESTION #10523

Question 13

Pakistan was constitutionally named the "Islamic Republic of Pakistan" for the first time under:

The 1949 Objectives Resolution
The Constitution of 1956✔️
The Constitution of 1973
None of these

Correct Answer Logic:

Pakistan was formally named the Islamic Republic of Pakistan for the first time in its first Constitution of 1956. Before 1956, Pakistan was a British Dominion (1947-1956). The 1956 Constitution established Pakistan as an Islamic Republic, though it was abrogated in 1958. Both subsequent constitutions (1962 and 1973) retained this name.

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Administration QUESTION #9582

Question 14

Herzberg's Two-Factor Theory identifies 'hygiene factors' and 'motivators.' A government department improves air conditioning, raises salaries by 15%, and increases leave entitlements. Six months later, employee performance remains unchanged. Which theoretical prediction does this outcome validate, and what intervention should have been made instead?

It validates Maslow's prediction that physiological and safety needs are pre-conditions for motivation — the department should now address social needs through team-building
It validates Herzberg's prediction that hygiene factors (salary, working conditions, benefits) prevent dissatisfaction but do not produce motivation — the department should have introduced achievement opportunities, recognition, responsibility and meaningful work✔️
It contradicts Herzberg because salary increases are classified as motivators in the Two-Factor framework — the department should conduct a job redesign study
It validates McGregor's Theory X — the employees are inherently unmotivated and require closer supervision rather than financial incentives

Correct Answer Logic:

Herzberg specifically classified salary, working conditions and fringe benefits as hygiene factors — their presence prevents dissatisfaction but their improvement does not generate positive motivation. Only motivators (achievement, recognition, responsibility, advancement, work itself) produce genuine performance improvement. This is Herzberg's most counterintuitive and practically significant insight — and the scenario precisely illustrates it.

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Physics QUESTION #7105

Question 15

A material has density $\rho$ and bulk modulus $K$. If uniform pressure $P$ is applied, the increase in density will be: [cite: 494]

$\frac{\rho P}{K}$✔️
$\frac{\rho K}{P}$
$\frac{K}{\rho P}$
$\frac{PK}{\rho}$

Correct Answer Logic:

Bulk modulus $K = \rho \frac{dP}{d\rho}$ [cite: 494].

The change in density $d\rho = \frac{\rho dP}{K}$
With $dP = P$, the increase is $\frac{\rho P}{K}$[cite: 497].

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MCQs Section QUESTION #5050

Question 16

درست ضربِ مثل کی نشاندہی کریں۔

بکرے کی نانی کب تک خیر منائے گی
بکرے کی ماں کب تک خیر منائے گی✔️
بکرے کی دادی کب تک خیر منائے گی
ان میں سے کوئی نہیں

Correct Answer Logic:

درست ضربِ مثل ہے: 'بکرے کی ماں کب تک خیر منائے گی' جو خطرے کے سامنے زیادہ دیر تک بچنے کی نفی میں بولی جاتی ہے۔

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Chemistry QUESTION #7373

Question 17

The energy of an electron in the $2p_y$ orbital compared to other orbitals is:

Greater than $2p_x$
Less than $2p_z$
Same as $2p_x$ and $2p_z$✔️
Equal to 2s orbital

Correct Answer Logic:

Degeneracy of p-orbitals:
The three p-orbitals $(2p_x, 2p_y, 2p_z)$ are degenerate — they have exactly the same energy. This is because energy depends only on the quantum numbers $n$ and $\ell$ (in the absence of external fields). The magnetic quantum number $m$ distinguishes their spatial orientation, not their energy.

Energy degeneracy is lifted in the presence of magnetic (Zeeman effect) or electric (Stark effect) fields.

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Journalism / Mass Communication QUESTION #6416

Question 18

The concept of intra-personal communication describes communication that occurs within a single individual. Which of the following is the BEST example of intra-personal communication?

A telephone conversation between two friends
A newspaper editorial addressed to the general public
A person's internal process of thinking, meditating, or reasoning — where all communication elements (source, message, channel, receiver) exist within the same individual✔️
A group discussion in a classroom

Correct Answer Logic:

The textbook classifies human communication into two broad types:

Intra-personal communication: “The part of communication in which self of a human being is involved only and the communication is confined to one human entity. This means that all the elements which come into action in a given piece of communication are located within the self of an individual. A message originating from source part of the brain travels through the channel of nerves to reach another location, however close it may be to the point of origin.” Examples: thinking, reasoning, meditation, monologue, and dreaming.
Inter-personal communication: Involves two or more individuals, and is further classified into interpersonal (one-to-one), group communication, organisational communication, and mass communication.

The key distinguishing criterion is that in intra-personal communication, all elements — source, encoder, channel, decoder, and receiver — exist within the same person. No external communication partner is required.

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General Knowledge QUESTION #8795

Question 19

Wireless Application Protocol (WAP) service is related to:

Computers connecting to WWW
Mobile phones connecting to the Internet✔️
Hotlines for secret coding
Fax machines for transmitting messages

Correct Answer Logic:

WAP allows mobile phones to access the internet.

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Law QUESTION #9671

Question 20

Under Article 5, a spouse may disclose communications made during marriage in which situation?

Never under any circumstances
With the consent of the person who made the communication✔️
Only in civil proceedings
When the Court orders disclosure

Correct Answer Logic:

Article 5 states that a spouse shall not be permitted to disclose marital communications unless the person who made it, or his representative-in-interest, consents — except in suits between married persons or criminal proceedings for crimes committed against the other spouse.

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