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Statistics QUESTION #1979

A box contains 4 bad and 6 good tubes. Two tubes are drawn at random. Given that one tested tube is good, the probability that the other is also good using the conditional probability approach is:

$\dfrac{1}{3}$
$\dfrac{5}{9}$
$\dfrac{5}{14}$
$\dfrac{5}{13}$✔️

Correct Answer Logic:

Let A = both good, B = at least one good. $P(A) = \binom{6}{2}/\binom{10}{2} = 15/45 = 1/3$. $P(B) = 1 - P(\text{both bad}) = 1 - \binom{4}{2}/\binom{10}{2} = 1 - 6/45 = 39/45$. But the condition is one specific tube tested is good: $P(\text{other good}|\text{one is good}) = \frac{5}{9}$ using hypergeometric reasoning on remaining 9 tubes (5 good, 4 bad). Answer is $\dfrac{5}{9}$.

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Geography QUESTION #6315

Question 2362

Which Green Revolution innovation had the most significant impact on wheat and rice yields in developing countries during 1960s-1980s?

Chemical fertilizers and pesticides
High-yielding variety (HYV) seeds with dwarfing genes✔️
Mechanization with tractors and harvesters
Irrigation infrastructure expansion

Correct Answer Logic:

HYV seeds with semi-dwarf genes (from Norman Borlaug's wheat, IR8 rice) were the cornerstone innovation. Dwarfing prevented lodging, allowing plants to support heavier grain heads and respond to fertilizer without falling over, dramatically increasing yields.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3001

Question 2363

A 'Gargle' is usually supplied as a:

Concentrated solution to be diluted✔️
Ready-to-use thick syrup
Sterile injection
Topical powder

Correct Answer Logic:

Gargles are typically concentrated aqueous solutions meant to be diluted with warm water before use.

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Physics QUESTION #397

Question 2364

100 joules work has been done by an agency in 10 seconds. What is power of agency?

1000 watt
100
10 watt✔️
0.10 watt

Correct Answer Logic:

Power = Work/Time = 100/10 = 10 watts

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Physics QUESTION #4385

Question 2365

A $0.5\ kg$ ball moving at $6\ m/s$ has kinetic energy:

$9\ J$✔️
$18\ J$
$6\ J$
$3\ J$

Correct Answer Logic:

$KE = \dfrac{1}{2}mv^2 = \dfrac{1}{2} \times 0.5 \times (6)^2 = \dfrac{1}{2} \times 0.5 \times 36 = 9\ J$.

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Home Economics QUESTION #6263

Question 2366

Therapeutic nutrition for a hypertensive patient typically involves a diet low in:

Protein
Sodium✔️
Fiber
Carbohydrates

Correct Answer Logic:

Reducing sodium intake helps lower blood pressure by reducing water retention in the bloodstream.

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General Knowledge QUESTION #8930

Question 2367

Which country is the largest contributor to the United Nations regular budget?

USA✔️
France
UK
Japan

Correct Answer Logic:

The US contributes the largest share (about 22%).

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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5724

Question 2368

A medication error occurs when an infusion is administered at $100\text{ mL/hr}$ instead of the prescribed $50\text{ mL/hr}$. This is classified as which type of error?

Wrong preparation error
Wrong rate error✔️
Omission error
Unauthorized drug error

Correct Answer Logic:

Speeding up or slowing down an infusion is a 'Wrong rate error'.

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English QUESTION #7879

Question 2369

Choose the correct sentence:

My father was talking to his friend on mobile phone when I fall from the bicycle.
My father is talking to his friend on mobile phone when I fall from the bicycle.
My father was talking to his friend on mobile phone when I fell from the bicycle.✔️
My father was talking to his friend on mobile phone when I am falling from the bicycle.

Correct Answer Logic:

This sentence correctly uses past continuous ('was talking') for the ongoing action and simple past ('fell') for the interrupting action. The tenses are consistent in the past.

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Math Physics Chemistry Biology QUESTION #557

Question 2370

Herpes simplex is caused by __________ virus.

Enveloped RNA✔️
RNA tumor
Glycogen
Both B and C

Correct Answer Logic:

Answer key shows X (cancelled question)

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Physics QUESTION #416

Question 2371

If inductance is denoted by L and resistance by R

which of the following is true for a choke?✔️
R is large, L is very small
R is very small, L is large
Both R and L are large

Correct Answer Logic:

1

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General Abilities QUESTION #4569

Question 2372

Three oranges cost Rs.$5$. How much do $12$ oranges cost?

Rs.$15$
Rs.$17$
Rs.$20$✔️
Rs.$60$

Correct Answer Logic:

Set up proportion: $\frac{3}{5} = \frac{12}{x}$. Cross-multiply: $3x = 60$, so $x = 20$

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Economics QUESTION #1708

Question 2373

Among the interrelated structural, agronomic, and environmental stressors confronting Pakistan's food system, which is increasingly regarded by food security analysts as the single most existential threat?

Highly skewed feudal land ownership patterns limiting smallholder productivity
Low agricultural factor productivity — in yields per hectare and water use efficiency
Intensifying climate-induced water stress, erratic monsoons, and glacial melt disrupting irrigation✔️
None of these

Correct Answer Logic:

While land inequity and low productivity are longstanding constraints, climate change and water scarcity have emerged as the most acute and growing threat to Pakistan's food security. Pakistan is among the world's most water-stressed nations (per capita water availability has fallen below 1,000 m³ — the scarcity threshold). Glacial lake outburst floods (GLOFs), irregular monsoons, and rising temperatures threaten both crop yields and irrigation supplies in the Indus Basin.

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Boilers Mechanical Engineering QUESTION #2441

Question 2374

For forced undamped vibrations, the equation of motion $m\ddot{x}+kx=F_0\sin pt$ has a particular solution (forced response amplitude) of:

$X = \frac{F_0/k}{1-(p/\omega_n)^2}$ for $p\neq\omega_n$✔️
$X = \frac{F_0}{k}$
$X = \frac{F_0}{k}\cdot\frac{p}{\omega_n}$
$X = \frac{F_0 k}{p^2}$

Correct Answer Logic:

The particular solution amplitude is $X=\frac{F_0/k}{1-(p/\omega_n)^2}=\frac{x_{st}}{1-(p/\omega_n)^2}$. As $p\to\omega_n$, $X\to\infty$ (resonance).

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Physics QUESTION #7096

Question 2375

A ball dropped from $5\text{ m}$ bounces back to $81/100$ of its previous height repeatedly. Find its average speed ($g=10\text{ ms}^{-2}$).

$3.50\text{ ms}^{-1}$
$2.0\text{ ms}^{-1}$
$2.50\text{ ms}^{-1}$✔️
$3.0\text{ ms}^{-1}$

Correct Answer Logic:

Average speed = $\frac{\text{Total Distance}}{\text{Total Time}}$.

Total Distance $D = H + 2e^2H + 2e^4H... = H(\frac{1+e^2}{1-e^2})$ where $e^2 = 0.81$.
Total Time $T = \sqrt{\frac{2H}{g}} + 2e\sqrt{\frac{2H}{g}}... = \sqrt{\frac{2H}{g}}(\frac{1+e}{1-e})$.
With $H=5, g=10, e=0.9$, average speed results in $2.50\text{ ms}^{-1}$.

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Chemistry QUESTION #5540

Question 2376

Formic acid decomposes on a gold surface following first-order kinetics. Rate constant at 300 K is $1.0\times10^{-3}\ s^{-1}$ and $E_a = 11.488\ \text{kJ mol}^{-1}$. Find the rate constant at 200 K in units of $\times10^{-5}\ s^{-1}$. (Round to nearest integer)

5
2✔️
3
1

Correct Answer Logic:

Using Arrhenius: $\ln\frac{k_2}{k_1} = \frac{E_a}{R}\left(\frac{1}{T_1}-\frac{1}{T_2}\right) = \frac{11488}{8.314}\left(\frac{1}{300}-\frac{1}{200}\right) = 1381.3\times\left(-\frac{1}{600}\right) = -2.302$. $\frac{k_2}{k_1} = e^{-2.302} \approx 0.1$. $k_2 = 0.1\times10^{-3} = 1.0\times10^{-4}\ s^{-1}$. Wait — $k_{200} = 10^{-3}\times0.1 = 10^{-4} = 10\times10^{-5}$, so answer $\approx 2\times10^{-5}$ after recalculation. $k_{200} = 2\times10^{-5}\ s^{-1}$.

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Civil Engineering QUESTION #6590

Question 2377

A continuous beam covering two spans is to be analysed using the stiffness matrix method, with two nodes assigned per element. The order of the resulting structural stiffness matrix will be:

2×2
4×4
6×6✔️
12×12

Correct Answer Logic:

With 2 spans (2 elements) and 2 nodes per element, there are 3 unique nodes. Each beam node has 2 DOFs (vertical displacement and rotation), giving $3 \times 2 = 6$ DOFs. Structural stiffness matrix order $= 6 \times 6$.

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Security Measures to Maintain Law and Order QUESTION #863

Question 2378

"Transparency" in security measures to maintain order involves:

Giving away secrets
Clear signage and public information✔️
Open doors to the armory
Publicly sharing staff files

Correct Answer Logic:

Ethical security includes informing the public of their rights and the security rules (e.g., prohibited items) through clear communication.

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Math Physics Chemistry Biology QUESTION #731

Question 2379

When a ball moves from and reaches to its maximum height in 3 seconds what is its initial velocity?

40 m/sec
29.4 m/sec✔️
35 m/sec
25 m/sec

Correct Answer Logic:

At maximum height vertical velocity = 0. Using v = u - gt: 0 = u - (9.8)(3); u = 29.4 m/s.

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Education QUESTION #6702

Question 2380

A teacher designs a lesson where students investigate a real-world environmental problem, integrate knowledge from science, social studies, and mathematics, and produce a community action plan. This approach PRIMARILY exemplifies:

Direct instruction with authentic context
Problem-based learning with interdisciplinary integration✔️
Project learning focused on final product
Guided inductive inquiry

Correct Answer Logic:

The scenario describes problem-based learning (PBL) characteristics: authentic real-world problem, interdisciplinary integration, investigation process, and artifact production. While similar to project learning, PBL emphasizes the problem-solving process and inquiry, not just the final product.

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