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Physics and Math QUESTION #783

If $ax^2 + 2hxy + by^2 = 0$, their lines are orthogonal when:

$a + b = 0$✔️
$a - b = 0$
$a = b$
None

Correct Answer Logic:

For the pair of lines $ax^2 + 2hxy + by^2 = 0$ to be perpendicular, the sum of coefficients of $x^2$ and $y^2$ must be zero: $a + b = 0$.

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Mechanical Engineering QUESTION #2464

Question 262

For a power screw, the efficiency $e$ is defined as the ratio of the ideal torque (frictionless) to the actual raising torque. For a square thread, $e$ equals:

$e = \frac{Fl}{2\pi T_r}$✔️
$e = \frac{T_r}{T_0}$
$e = \mu\tan\lambda$
$e = \frac{\pi d_m}{l}$

Correct Answer Logic:

The ideal (frictionless) torque to raise load $F$ through one revolution is $T_0=Fl/(2\pi)$. Efficiency: $e=T_0/T_r=Fl/(2\pi T_r)$.

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The Title 28 of the United States Code QUESTION #3706

Question 263

In a diversity case, the federal court must apply a state law that requires a physical examination of the plaintiff. Federal Rule of Civil Procedure 35 also allows for physical examinations but has slightly different procedural requirements regarding notice. Which rule should the federal court follow?

The state law, because physical exams are 'outcome-determinative' under York.
The federal rule, because it is a valid exercise of the Rules Enabling Act and directly conflicts with state law.✔️
Neither; the court should create a 'federal common law' of examinations.
Both; the court must synthesize them to respect state sovereignty.

Correct Answer Logic:

Under Hanna v. Plumer, if a Federal Rule of Civil Procedure (FRCP) is valid and on point, it trumps conflicting state law, even if that state law is substantive in nature or outcome-determinative.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3102

Question 264

The average lifespan of a Red Blood Cell (Erythrocyte) is approximately:

10 days
30 days
120 days✔️
1 year

Correct Answer Logic:

RBCs circulate for about 120 days before being destroyed by the spleen and liver.

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General Knowledge QUESTION #270

Question 265

The Headquarters of African Union is situated in:

Ethiopia✔️
Niger
Nigeria
None of these

Correct Answer Logic:

The AU is headquartered in Addis Ababa, Ethiopia.

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Biology Zoology Botany QUESTION #1358

Question 266

In dicot plants, the first leaf-like structure that emerges from the seed is called:

Hypocotyl
Cotyledon✔️
Epicotyl
Radicle

Correct Answer Logic:

Cotyledons are the seed leaves (embryonic leaves) present inside the seed. In dicots there are two cotyledons. They are the first leaf-like structures to emerge from a germinating seed and often serve as the primary source of nutrition for the seedling. The hypocotyl is the stem below cotyledons; epicotyl is above; radicle becomes the root.

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Security Measures to Maintain Law and Order QUESTION #891

Question 267

"Trace Detection" technology (ETD) is a measure to maintain order by identifying:

Metal objects
Microscopic explosive particles✔️
Stolen currency
Overweight bags

Correct Answer Logic:

Explosive Trace Detectors are used when physical search or X-ray is insufficient to clear a suspicion of "Sabotage" (Section 6).

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3263

Question 268

'Myopia' (Nearsightedness) occurs when the image is focused:

Behind the retina
In front of the retina✔️
Exactly on the retina
In the lens

Correct Answer Logic:

Corrected with concave lenses.

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Others section QUESTION #4696

Question 269

Premadasa held which political position?

President of Chile
European Comedian
Terrorist leader
President of Sri Lanka✔️

Correct Answer Logic:

Ranasinghe Premadasa served as the President of Sri Lanka from 1989 until his assassination in 1993.

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Basic Mathematics QUESTION #4639

Question 270

If $a + b = 12$ and $a - b = 4$, what is $ab$?

$32$✔️
$16$
$8$
$48$

Correct Answer Logic:

From equations: $a = 8, b = 4$. So $ab = 8 \times 4 = 32$

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Agronomy QUESTION #2090

Question 271

In organic farming systems, nitrogen fertility is maintained through which suite of mechanisms that must substitute for synthetic N fertilizers?

Urea application at reduced rates combined with biological control
Biological nitrogen fixation (legumes in rotation/intercropping), composted organic matter inputs, green manuring, crop residue recycling, and managed livestock integration — collectively building soil organic N pools and stimulating mineralization✔️
Exclusive use of rock phosphate and potassium sulfate
Deep tillage to expose and mineralize subsoil organic nitrogen reserves

Correct Answer Logic:

Certified organic systems prohibit synthetic N fertilizers. N supply relies on: (1) BNF through legume rotation (60–200 kg N/ha/yr), (2) compost and FYM application, (3) green manuring with leguminous cover crops, (4) crop residue decomposition, and (5) enhanced soil biological activity mineralizing organic N. The challenge is synchronizing N mineralization with crop demand — organic N release is weather and microbially dependent.

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Mechanical Engineering QUESTION #2507

Question 272

The neutral axis of a beam cross-section in pure bending is the axis about which:

Stress is maximum
The second moment of area is minimum
Bending strain and stress are zero — it passes through the centroid✔️
The shear stress is zero

Correct Answer Logic:

In pure bending, the neutral axis is the axis of zero longitudinal strain and stress. By the condition $\int y\,dA = 0$ (from equilibrium), the neutral axis passes through the centroid of the cross-section.

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Statistics QUESTION #1958

Question 273

For a t-distribution, which relationship among the measures of central tendency holds true?

Mean = Median = Mode✔️
Mean > Median > Mode
Mean < Median < Mode
None of these

Correct Answer Logic:

The t-distribution is symmetric and bell-shaped. Therefore, like the normal distribution, its Mean = Median = Mode, all located at the center.

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General Knowledge QUESTION #2634

Question 274

What is a CHARGE CYCLE in relation to a device battery?

The time it takes to charge a battery from 0% to 50%
The number of hours a battery lasts on a single charge
One full charge and discharge of a battery✔️
The maximum voltage a battery can receive during fast charging

Correct Answer Logic:

A charge cycle is defined as one full charge and discharge of a battery. Understanding charge cycles is important because batteries have a limited number of cycles before their capacity degrades. For example, a laptop battery rated for 500 charge cycles will gradually lose capacity after those 500 full charge-discharge cycles.

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English QUESTION #2775

Question 275

Which ONE WORD means: 'A person who travels to a holy place as an act of religious devotion'?

Tourist
Pilgrim✔️
Nomad
Wanderer

Correct Answer Logic:

A 'Pilgrim' is a person who journeys to a sacred place for religious reasons. A Tourist travels for leisure; a Nomad has no fixed home; a Wanderer roams without specific purpose.

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Commerce QUESTION #1206

Question 276

Over-applied overhead means:

Actual overheads are less than applied overheads.✔️
Actual overheads are greater than applied overheads.
Fixed costs were not allocated properly.
Direct labor costs were overstated.

Correct Answer Logic:

Overhead is applied to production using a predetermined rate. Over-applied overhead occurs when the applied overhead (predetermined rate × actual activity) exceeds the actual overhead incurred. In other words, actual overheads < applied overheads. This means production was charged more overhead than was actually spent.

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Math (Module-1) QUESTION #5379

Question 277

The provided illustration displays a system consisting of a linear equation and a nonlinear equation. Based on the visual, what is the solution $(x, y)$ for this specific system?

$(0, 0)$
$(0, 4)$
$(4, 5)$✔️
$(5, 0)$

Correct Answer Logic:

The solution to a system is the point where the two graphs intersect. In the graph, the line and the curve meet at the point $(4, 5)$.

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Biology Zoology Botany QUESTION #1367

Question 278

What is the characteristic feature of the Fabaceae family?

Composite flowers
Opposite leaves
Papilionaceous corolla✔️
Parallel venation

Correct Answer Logic:

Fabaceae (legume family, previously Leguminosae) is characterised by the papilionaceous (butterfly-like) corolla consisting of 5 petals: 1 standard (vexillum), 2 wings (alae), and 2 fused keel petals (carina). Other features include compound leaves, stipules, and the presence of root nodules with nitrogen-fixing Rhizobium bacteria.

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Agronomy QUESTION #2025

Question 279

The method of fertilizer application that places nutrients in a band 5–7 cm to the side and below the seed is called:

Broadcasting
Side dressing
Starter band placement (2×2 placement)✔️
Foliar application

Correct Answer Logic:

Band placement (2×2 placement) positions fertilizer 5 cm to the side and 5 cm below the seed. This avoids salt injury to germinating seeds while placing nutrients close to emerging roots for early uptake, improving P efficiency particularly in cold, calcareous soils.

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General Knowledge QUESTION #169

Question 280

Which article of Pakistan's constitution talks about a clean environment?

Article 8A
Article 9A
Article 7A
None of these✔️

Correct Answer Logic:

While the right to a clean environment is read into Article 9 (Right to Life), there is no specific Article 9A/8A/7A.

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