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Statistics QUESTION #1973

For a paired t-test conducted on $n$ matched pairs of observations, the appropriate degrees of freedom is:

$2n - 1$
$n - 2$
$2(n - 1)$
$n - 1$✔️

Correct Answer Logic:

In a paired t-test, the $n$ differences $d_i = X_{1i} - X_{2i}$ are treated as a single sample. The degrees of freedom is therefore $n - 1$, just as for a one-sample t-test.

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Chemistry QUESTION #7515

Question 2

A gaseous hydrocarbon produces 0.72 g of water and 3.08 g of CO$_2$ upon complete combustion. What is the empirical formula of the hydrocarbon?

$\text{C}_2\text{H}_4$
$\text{C}_3\text{H}_4$
$\text{C}_6\text{H}_5$
$\text{C}_7\text{H}_8$✔️

Correct Answer Logic:

Moles of H$_2$O $= \dfrac{0.72}{18} = 0.04\ \text{mol}$ → H atoms $= 0.08\ \text{mol}$

Moles of CO$_2 = \dfrac{3.08}{44} = 0.07\ \text{mol}$ → C atoms $= 0.07\ \text{mol}$

Ratio C : H $= 0.07 : 0.08 = 7 : 8$

Empirical formula: $\mathbf{C_7H_8}$ (like toluene)

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Chemistry QUESTION #7177

Question 3

A car tyre is pressurized with nitrogen to $35 \text{ psi}$ at $27^{\circ}\text{C}$. The tyre is rated to burst if the internal pressure exceeds $40 \text{ psi}$. At what temperature (in $^{\circ}\text{C}$) will the tyre likely burst?

$50^{\circ}\text{C}$
$60^{\circ}\text{C}$
$70^{\circ}\text{C}$✔️
$80^{\circ}\text{C}$

Correct Answer Logic:

According to Gay-Lussac's Law ($P/T = \text{constant}$):

$P_{1} = 35 \text{ psi}$, $T_{1} = 27 + 273 = 300 \text{ K}$
$P_{2} = 40 \text{ psi}$, $T_{2} = ?$
$35/300 = 40/T_{2}$
$T_{2} = (40 \times 300) / 35 \approx 342.8 \text{ K}$
Converting to Celsius: $342.8 - 273 = 69.8^{\circ}\text{C} \approx 70^{\circ}\text{C}$

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Math Physics Chemistry Biology QUESTION #4231

Question 4

CFTR gene that encode a protein which regulate:

Protein and salt
Salt and Water✔️
Sugar and Water
Liquid and Protein

Correct Answer Logic:

CFTR regulates salt and water transport.

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MCQs Section QUESTION #5099

Question 5

اردو کا پہلا ڈرامہ کون سا تھا؟

انارکلی
اندر سبھا✔️
توبۃ النصوح
ان میں سے کوئی نہیں

Correct Answer Logic:

اردو کا پہلا ڈرامہ 'اندر سبھا' ہے جو آغا حسن امانت نے لکھا اور 1853ء میں لکھنؤ میں پہلی بار پیش کیا گیا۔

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Mathematics QUESTION #4104

Question 6

In a group homomorphism $\varphi:G\to H$, the kernel $\ker(\varphi)$ is ALWAYS:

A subgroup of $H$ only
Any arbitrary subset of $G$
A normal subgroup of $G$✔️
Equal to $G$ if $\varphi$ is surjective

Correct Answer Logic:

The kernel $\ker(\varphi)=\{g\in G:\varphi(g)=e_H\}$ is always a normal subgroup of the domain $G$. Proof: for $k\in\ker(\varphi)$ and any $g\in G$, $\varphi(gkg^{-1})=\varphi(g)e_H\varphi(g)^{-1}=e_H$, so $gkg^{-1}\in\ker(\varphi)$ — confirming normality.

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English Literature QUESTION #683

Question 7

According to Russell, what is the connection between envy and unhappiness?

Envy is a catalyst for happiness
Envy is unrelated to happiness
Envy is a source of unhappiness✔️
None of these

Correct Answer Logic:

In The Conquest of Happiness, Russell identifies envy as one of the most potent causes of unhappiness.

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English Literature QUESTION #692

Question 8

In "1984," what does the "Ministry of Truth" do?

Promotes truth
Propagates lies✔️
Protects citizens
None of these

Correct Answer Logic:

In the world of Big Brother, the Ministry of Truth is responsible for the falsification of historical records and propaganda.

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Maths QUESTION #4579

Question 9

Three numbers have average $12$. Two of them are $10$ and $15$. What is the third?

$11$✔️
$12$
$36$
$9$

Correct Answer Logic:

Sum = $12 \times 3 = 36$. Third number = $36 - 10 - 15 = 11$

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Islamic Studies QUESTION #7934

Question 10

Hazrat Jaafar Tayyar was martyred in the battle of:

Yamaman
Moota✔️
Tabook
Badr

Correct Answer Logic:

Hazrat Ja'far ibn Abi Talib (RA), also known as Ja'far at-Tayyar (the one who flies), was martyred in the Battle of Mu'tah (Moota) in 8 AH (629 CE). He led the Muslim army after the martyrdom of Zaid bin Haritha (RA). Despite losing both arms, he held the flag with his body until martyred. The Prophet (PBUH) said Allah gave him wings to fly in Paradise.

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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5738

Question 11

A 'Consultant Pharmacy' practice differs from a 'Community Pharmacy' because it focuses more on:

Actual dispensing of drugs
Medication procedure review✔️
Surgical supplies
Retail sales of cosmetics

Correct Answer Logic:

Consultant pharmacy focuses on procedure review rather than dispensing.

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Nursing QUESTION #9255

Question 12

A 2-year-old child is brought to the OPD with fever for 3 days, strawberry tongue, cracked lips, bilateral conjunctivitis, maculopapular rash on trunk, and cervical lymphadenopathy (2.5 cm). The MOST likely diagnosis and priority nursing concern is:

Scarlet fever; risk of rheumatic fever
Kawasaki disease; risk of coronary artery aneurysm✔️
Measles; risk of encephalitis
Stevens-Johnson syndrome; skin integrity

Correct Answer Logic:

Kawasaki Disease (KD) — an acute systemic vasculitis of childhood (most common in children under 5 years).

Diagnostic Criteria — Fever ≥5 days PLUS ≥4 of 5 features:

Bilateral non-purulent conjunctivitis
Oral changes: strawberry tongue, cracked/erythematous lips, oropharyngeal erythema
Cervical lymphadenopathy ($\geq 1.5\,\text{cm}$)
Polymorphous rash (maculopapular, truncal)
Changes in extremities: erythema/edema (acute); desquamation (convalescent)

Most serious complication: Coronary artery aneurysm (CAA) — occurs in 15–25% untreated cases, reduced to <5% with treatment.

Treatment:

IVIG: $2\,\text{g/kg}$ IV single dose over 10–12 hours (reduces CAA risk)
Aspirin: High dose $80{-}100\,\text{mg/kg/day}$ in 4 divided doses (anti-inflammatory phase), then low dose $3{-}5\,\text{mg/kg/day}$ (antiplatelet phase)

Priority nursing concern: Monitor for coronary aneurysm via echocardiogram at diagnosis, 2 weeks, and 6–8 weeks.

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Information Technology QUESTION #1143

Question 13

What is the size of an IPv6 address?

32 bits
64 bits
128 bits✔️
256 bits

Correct Answer Logic:

IPv6 uses a 128-bit address space, providing 2128 unique addresses, which is significantly larger than IPv4's 32-bit limit.

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Mathematics QUESTION #7490

Question 14

The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, … is:

$\frac{7}{81}(179-10^{-20})$
$\frac{7}{9}(99-10^{-20})$
$\frac{7}{81}(179+10^{-20})$✔️
$\frac{7}{9}(99+10^{-20})$

Correct Answer Logic:

Each term: $0.7 = \frac{7}{9}(1-10^{-1})$, $0.77 = \frac{7}{9}(1-10^{-2})$, etc. Sum = $\frac{7}{9}\sum_{k=1}^{20}(1-10^{-k}) = \frac{7}{9}[20 - \frac{10^{-1}(1-10^{-20})}{1-10^{-1}}] = \frac{7}{9}[20 - \frac{1-10^{-20}}{9}] = \frac{7}{9} \cdot \frac{180-1+10^{-20}}{9} = \frac{7}{81}(179+10^{-20})$.

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Business, Public administration and Policy QUESTION #10517

Question 15

The concept of "bounded rationality" in decision-making was introduced by:

Max Weber
Abraham Maslow
Herbert Simon✔️
Frederick Taylor

Correct Answer Logic:

Herbert Simon introduced bounded rationality in his 1947 work Administrative Behavior, arguing that human decision-makers cannot achieve perfect rationality due to cognitive limitations, incomplete information, and time constraints. Instead of optimizing, they satisfice — choosing a solution that is 'good enough.' This challenged the classical rational model and earned Simon the Nobel Prize in Economics (1978). Note: The options in the original paper listed 'None of these' as the correct answer since Herbert Simon was not among the options.

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English QUESTION #2663

Question 16

Choose the word that has a similar meaning to: 'ABANDON'

Keep
Forsake✔️
Adopt
Protect

Correct Answer Logic:

To 'abandon' means to leave or give up completely; 'forsake' is to desert.

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Psychology QUESTION #9811

Question 17

Differences in perception among various species depend upon:

Habitat
Complexity of nervous system
Receptor mechanism
All of the above✔️

Correct Answer Logic:

Perceptual differences across species result from all three: habitat (shapes advantageous sensory capabilities), nervous system complexity (determines processing capacity), and specialized receptor mechanisms (define detectable stimuli).

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Boilers Mechanical Engineering QUESTION #2514

Question 18

For a beam under pure bending, the assumption that plane sections remain plane (Euler-Bernoulli hypothesis) implies that:

Shear strain across the section is constant
Normal strain varies linearly with distance from the neutral axis✔️
Shear stress is zero everywhere
Normal stress is uniform across the cross-section

Correct Answer Logic:

The Euler-Bernoulli hypothesis leads directly to a linear strain distribution: $\varepsilon = -y/\rho$, where $y$ is distance from the neutral axis and $\rho$ is the radius of curvature. This produces the linear bending stress distribution $\sigma = -My/I$.

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Pakistan Affairs QUESTION #9093

Question 19

Islamabad was declared the capital of Pakistan in which year?

1956
1957✔️
1959
1960

Correct Answer Logic:

Islamabad became the capital in 1960 (construction began).

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Civil Engineering QUESTION #6576

Question 20

A direct stress always produces a corresponding strain in its own direction and an opposite strain in directions perpendicular to it. This perpendicular strain is specifically termed:

Linear strain
Lateral strain✔️
Volumetric strain
Shear strain

Correct Answer Logic:

Lateral strain (also called transverse strain) is the strain induced in directions perpendicular to the applied stress. It is related to the direct (linear) strain by Poisson's ratio: $\varepsilon_{lateral} = -\nu\,\varepsilon_{axial}$.

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