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Home Economics QUESTION #6285

Question 181

What is the 'Opportunity Cost' of a family's decision to buy a car instead of renovating the house?

The value of the house renovation that was given up✔️
The interest paid on the car loan
The maintenance cost of the new car
The price of the car

Correct Answer Logic:

Opportunity cost is the value of the next best alternative foregone when a choice is made.

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Pakistan Affairs QUESTION #9080

Question 182

Pakistan won its first Olympic Gold Medal in field hockey in which year?

1955
1960✔️
1965
1970

Correct Answer Logic:

Pakistan won gold in hockey at the 1960 Rome Olympics.

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Education QUESTION #6794

Question 183

A national high-stakes test is being critiqued because students from rural areas consistently score lower than urban students, even when controlling for content knowledge. Which fairness consideration in test selection and high-stakes testing does this MOST directly raise?

Whether the test has adequate inter-rater reliability
Whether differential performance is caused by inappropriate test characteristics such as culturally biased language, limited access to test preparation materials, or inadequate resources and opportunity to learn✔️
Whether the test battery includes enough diagnostic subtests
Whether the norm group is sufficiently large

Correct Answer Logic:

Fairness in selecting and using tests requires: reviewing performance differences between demographic groups, evaluating whether those differences may be caused by inappropriate test characteristics (e.g., language bias, cultural context), and ensuring adequate resources and opportunity to learn before high-stakes decisions are made. When rural-urban gaps persist after controlling for knowledge, the test instrument's cultural/contextual fairness must be examined.

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Islamic Studies QUESTION #8221

Question 184

The second pious caliph Hazrat Umar-bin-Khattab belonged to which tribe?

Banu Hashim
Banu Ummiya
Banu Addi✔️
Banu Tayam

Correct Answer Logic:

Hazrat Umar ibn al-Khattab (RA) belonged to the Banu Adiyy (Adi) clan of the Quraish tribe. This is the same answer as question 98. He was initially one of the fiercest opponents of Islam but became one of its strongest supporters after his conversion. His justice, administrative skills, and military conquests during his 10-year caliphate (634-644 CE) expanded the Islamic empire to include Persia, Jerusalem, Egypt, and parts of the Byzantine Empire.

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Mathematics QUESTION #6949

Question 185

Let $p = \displaystyle\lim_{x\to0^+}\left(1+\tan^2\sqrt{x}\right)^{\frac{1}{2x}}$. Find $\ln p$.

1
$\dfrac{1}{2}$✔️
$\dfrac{1}{4}$
2

Correct Answer Logic:

This is a $1^\infty$ indeterminate form. Take logarithm:

$\ln p = \lim_{x\to0^+}\dfrac{\ln(1+\tan^2\sqrt{x})}{2x}$

Let $t=\sqrt{x}$, so $x=t^2$, $x\to0^+$ means $t\to0^+$:

$= \lim_{t\to0^+}\dfrac{\ln(1+\tan^2 t)}{2t^2} = \lim_{t\to0^+}\dfrac{\tan^2 t}{2t^2} = \dfrac{1}{2}$

(using $\ln(1+u)\approx u$ for small $u$ and $\lim_{t\to0}\frac{\tan t}{t}=1$)

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Mathematics QUESTION #1308

Question 186

In Newton-Raphson method, starting with initial approximation $x_0$, the next iteration is:

$x_1 = x_0 - \dfrac{f(x_0)}{f'(x_0)}$✔️
$x_1 = x_0 + \dfrac{f(x_0)}{f'(x_0)}$
$x_1 = x_0\cdot\dfrac{f'(x_0)}{f(x_0)}$
$x_1 = -\dfrac{f(x_0)}{f'(x_0)}$

Correct Answer Logic:

Newton-Raphson iteration formula: $x_{n+1}=x_n-\dfrac{f(x_n)}{f'(x_n)}$. It is derived from the tangent line approximation at $x_n$ and converges quadratically near a simple root.

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Education QUESTION #7569

Question 187

The philosophical foundation of curriculum is primarily concerned with:

Ideas✔️
Psychological foundation
Society
Content

Correct Answer Logic:

The philosophical foundation deals with underlying beliefs, values, and ideas about the nature of knowledge, truth, reality, and what is worth knowing.

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English QUESTION #2788

Question 188

Which is the CORRECTLY SPELLED word?

Accomodation
Accommodation✔️
Acommodation
Accommodetion

Correct Answer Logic:

The correct spelling is 'Accommodation' with double 'c' and double 'm'. It is one of the most commonly misspelled words in English. Remember: two c's and two m's.

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Boilers Mechanical Engineering QUESTION #2486

Question 189

In the kinetostatics of a crank-slider mechanism, the force exerted by link $i$ on link $j$ is denoted $F_{ij}$. Newton's third law requires that:

$F_{ij} = F_{ji}$
$\mathbf{F}_{ij} = -\mathbf{F}_{ji}$ (equal magnitude, opposite direction)✔️
$|F_{ij}| = |F_{ji}|$ only when the links have equal mass
$F_{ij} + F_{ji} = m\mathbf{a}$

Correct Answer Logic:

By Newton's third law, the reaction forces between two links are equal in magnitude and opposite in direction: $\mathbf{F}_{ij}=-\mathbf{F}_{ji}$.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3640

Question 190

Which family does 'Opium' (Afeem) belong to?

Papaveraceae✔️
Solanaceae
Rubiaceae
Liliaceae

Correct Answer Logic:

Papaver somniferum is the Opium poppy.

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Chemistry QUESTION #7371

Question 191

The energy (in joules) of light with wavelength 45 nm is: (Given: $h = 6.63 \times 10^{-34}$ Js, $c = 3 \times 10^8$ ms$^{-1}$)

$6.67 \times 10^{15}$ J
$6.67 \times 10^{11}$ J
$4.42 \times 10^{-15}$ J
$4.42 \times 10^{-18}$ J✔️

Correct Answer Logic:

Formula: $E = \dfrac{hc}{\lambda}$

$E = \dfrac{6.63 \times 10^{-34} \times 3 \times 10^8}{45 \times 10^{-9}}$
$= \dfrac{19.89 \times 10^{-26}}{45 \times 10^{-9}}$
$= \dfrac{19.89}{45} \times 10^{-17}$
$= 0.442 \times 10^{-17} = 4.42 \times 10^{-18}$ J

This energy (in UV range) is enough to ionise hydrogen from ground state ($13.6$ eV $= 2.18 \times 10^{-18}$ J).

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Ability / HR / Governance / Special Education QUESTION #1866

Question 192

Under Rule 13, who can approve relaxation of the citizenship requirement for appointment?

Prime Minister
Ministry concerned
Establishment Division✔️
FPSC

Correct Answer Logic:

Rule 13 proviso states the citizenship requirement may be relaxed with the approval of the Establishment Division.

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Islamic Studies QUESTION #355

Question 193

The Ottoman Empire lasted for over:

5 Centuries
6 Centuries✔️
7 Centuries
None of these

Correct Answer Logic:

The empire existed from 1299 to 1922, spanning over six centuries.+1

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Agronomy QUESTION #2033

Question 194

The Land Equivalent Ratio (LER) in intercropping is calculated as:

$LER = \dfrac{\text{Yield of sole crop A}}{\text{Yield of sole crop B}}$
$LER = \sum \dfrac{\text{Yield of component crop in intercrop}}{\text{Yield of same crop in sole crop}}$✔️
LER = Total intercrop yield ÷ Average of sole crop yields
$LER = \dfrac{\text{Intercrop total yield}}{\text{Higher yielding sole crop yield}}$

Correct Answer Logic:

LER is computed as the sum of partial LERs: $LER = \dfrac{Y_{AB}}{Y_A} + \dfrac{Y_{BA}}{Y_B}$, where $Y_{AB}$ and $Y_{BA}$ are yields of crops A and B in the intercrop, and $Y_A$, $Y_B$ are their respective sole crop yields. LER > 1 indicates a yield advantage from intercropping.

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Planning QUESTION #4920

Question 195

In development economics, what does GDP measure?

Total government debt of a country
Total value of goods and services produced✔️
Total population density
Total development projects

Correct Answer Logic:

GDP (Gross Domestic Product) measures the total monetary value of all goods and services produced within a country's borders during a specific time period, indicating economic performance.

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Disaster Management QUESTION #6548

Question 196

Which principle should guide the prioritization of infrastructure retrofitting when resources are limited?

Political considerations
Risk-informed prioritization based on criticality, vulnerability assessments, and potential loss of function during disasters✔️
Age of buildings
Geographic distribution

Correct Answer Logic:

Section 8.1 emphasizes prioritizing critical public facilities (hospitals, schools, emergency centers) based on risk assessments. Limited resources require evidence-based prioritization focusing on structures whose failure would have cascading impacts on emergency response and essential services.

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Geography QUESTION #6328

Question 197

The Heckscher-Ohlin trade theory predicts that countries will export goods that:

Intensively use their abundant factors of production✔️
They can produce most efficiently regardless of factor endowments
Have the highest technological sophistication
Require the least labor input

Correct Answer Logic:

Heckscher-Ohlin theory states countries export goods using their abundant factors intensively (labor-abundant countries export labor-intensive goods; capital-abundant countries export capital-intensive goods), explaining trade patterns based on factor endowments rather than absolute efficiency.

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Urdu QUESTION #5066

Question 198

زیر، زبر، پیش لگانے کو اردو میں کیا کہتے ہیں؟

رموزِ اوقاف
وائیں
اعراب✔️
ان میں سے کوئی نہیں

Correct Answer Logic:

اعراب وہ علامات ہیں جو حروف کے نیچے اوپر لگائی جاتی ہیں، جیسے زیر، زبر اور پیش۔

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Professional QUESTION #1836

Question 199

Under Section 11A on absorption of civil servants rendered surplus, if a civil servant is appointed to a lower post due to unavailability of an equivalent post, what happens to the pay he was drawing in the higher post?

It is reduced to the pay scale of the new lower post
It is frozen for one year and then reduced
The pay being drawn by him in the higher post shall remain protected✔️
It is replaced by a special personal allowance equal to the difference

Correct Answer Logic:

Section 11A provides that where a surplus civil servant is appointed to a lower post (due to unavailability of an equivalent post), the pay being drawn by him in the higher post immediately preceding his appointment to the lower post shall remain protected. This is the pay protection principle for surplus civil servants.

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Math Physics Chemistry Biology QUESTION #4315

Question 200

The main idea in Darwin's Theory of 'Origin of species by natural selection' is:

Inheritance of acquired traits
Use and disuse of organs
Species never change
Evolution occurs through gradual accumulation of adaptations through successive generations✔️

Correct Answer Logic:

Darwin's theory states that individuals with favorable heritable variations survive and reproduce better (natural selection), leading to gradual evolution of species over successive generations.

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