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The United Nations General Assembly holds its main session annually beginning in September, with the general debate typically starting in the third week of September.

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Mathematics QUESTION #6026

Question 2644

For $x\in\mathbb{R}$, let $f(x)=|\log 2-\sin x|$ and $g(x)=f(f(x))$. Which of the following is correct?

$g'(0)=\cos(\log 2)$✔️
$g'(0)=-\cos(\log 2)$
$g$ is differentiable at $x=0$ and $g'(0)=-\sin(\log 2)$
$g$ is not differentiable at $x=0$

Correct Answer Logic:

Since $\log 2 \approx 0.693$ and $\sin 0=0$, we have $f(0)=\log 2 > 0$.

Near $x=0$: $f(x)=\log 2-\sin x$ (since $\log 2>\sin x$ locally). So $f$ is smooth near $x=0$.

$g(x) = f(f(x)) = |\log 2 - \sin(f(x))|$. At $x=0$: $f(0)=\log 2$, so $\sin(f(0))=\sin(\log 2)$. Since $\log 2 < 1 < \pi$, $\sin(\log 2)>0$.

$g(0) = \log 2 - \sin(\log 2) > 0$, so near $x=0$, $g(x)=\log 2 - \sin(f(x))$.

$g'(0)=-\cos(f(0))\cdot f'(0)=-\cos(\log 2)\cdot(-\cos 0)=\cos(\log 2)$

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3191

Question 2645

The 'Frank-Starling Law' of the heart relates:

Heart rate to temperature
Stroke volume to end-diastolic volume✔️
Blood pressure to age
Oxygen levels to blood flow

Correct Answer Logic:

The heart pumps more forcefully when the muscle fibers are stretched by more returning blood.

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Mathematics QUESTION #4111

Question 2646

How many distinct cyclic subgroups does $\mathbb{Z}_{18}$ have?

$4$
$6$✔️
$9$
$18$

Correct Answer Logic:

Cyclic subgroups correspond to divisors of 18: 1, 2, 3, 6, 9, 18. Total 6 subgroups.

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Physics QUESTION #7031

Question 2647

A travelling wave on a string with linear mass density $5\text{ g/m}$ is described by $y = 0.03 \sin(450t - 9x)$ in SI units. What is the tension maintained in the string?

$10\text{ N}$
$7.5\text{ N}$
$12.5\text{ N}$✔️
$5\text{ N}$

Correct Answer Logic:

Wave speed $v = \frac{\omega}{k} = \frac{450}{9} = 50\text{ m/s}$. The formula for wave speed in a string is $v = \sqrt{\frac{T}{\mu}}$. Squaring both sides gives $T = v^2 \mu$. Substituting the values: $T = 50^2 \times 0.005 = 2500 \times 0.005 = 12.5\text{ N}$.

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Chemistry QUESTION #7139

Question 2648

Which of the following crystal defects occurs when an ion is displaced from its regular lattice site to an interstitial position?

Schottky defect
Frenkel defect✔️
Metal deficiency defect
Vacancy defect

Correct Answer Logic:

The Frenkel defect is a dislocation defect where an ion (usually the smaller cation) leaves its original lattice site and occupies an interstitial space. This creates a vacancy at the original site but does not change the overall density of the crystal.

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General Knowledge QUESTION #4701

Question 2649

Who was the President of Venezuela in 1989?

Raul Alfonsin
Daniel Ortega
Carlos Andrés Pérez✔️
Augusto Pinochet

Correct Answer Logic:

Carlos Andrés Pérez served as President of Venezuela from 1989 to 1993 during his second term in office.

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Ability / HR / Governance / Special Education QUESTION #5648

Question 2650

The Regular Supplementary Grant differs fundamentally from the Technical Supplementary Grant in one critical way. Which statement CORRECTLY captures this distinction?

Regular Supplementary Grant requires Parliamentary presentation while Technical Supplementary Grant does not
Regular Supplementary Grant involves an upward change (additionality) in the sanctioned budget grant while Technical Supplementary Grant merely transfers funds between Grants/Demands without implying additionality✔️
Technical Supplementary Grant can only be used for Development Expenditure while Regular Supplementary Grant covers Current Expenditure
Regular Supplementary Grant is sanctioned by the Finance Division while Technical Supplementary Grant is sanctioned by the PAO

Correct Answer Logic:

The Technical Supplementary Grant does not imply any additionality to the sanctioned budget grant (it is a transfer from one Grant/Demand to another due to savings). The Regular Supplementary Grant involves an upward change in the sanctioned budget grant (actual additionality). Both must be presented to Parliament for ex-post authorization.

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Biology Zoology Botany QUESTION #1364

Question 2651

Which group of organisms is known for having chloroplasts in every cell?

Fungi
Algae✔️
Bryophytes
Lichens

Correct Answer Logic:

Algae contain chloroplasts in every photosynthetic cell of their thallus. Algal chloroplasts come in diverse shapes (cup-shaped, ribbon-like, stellate) and contain photosynthetic pigments. Fungi have no chloroplasts at all (they are heterotrophs). Bryophytes have chloroplasts in their green cells but not every cell (e.g., rhizoids lack them). Lichens are fungal-algal symbioses.

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Planning QUESTION #5017

Question 2652

Which principle guides the allocation of infrastructure costs in new development?

Historic cost recovery
Growth pays for growth✔️
Equal distribution
Government subsidy priority

Correct Answer Logic:

The 'growth pays for growth' principle (implemented through development impact fees) requires new development to fund proportionate infrastructure costs (roads, utilities, parks) rather than burdening existing residents, ensuring fair cost allocation and adequate infrastructure provision.

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Security Measures to Maintain Law and Order QUESTION #849

Question 2653

The rank of "Assistant Director" in ASF is equivalent to which military rank for administrative purposes?

Captain
Major✔️
Lieutenant
Colonel

Correct Answer Logic:

Per Section 3, an Assistant Director is equivalent to a Captain (while Deputy Director is Major).

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General Knowledge QUESTION #4473

Question 2654

_____ got Nobel Peace Prize 2025.

Nicolás Maduro
María Corina Machado
Giorgia Meloni
None of these✔️

Correct Answer Logic:

No verified Nobel Peace Prize 2025 winner among these options; question likely hypothetical.

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Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences) QUESTION #5789

Question 2655

According to the material, the 'Trial' stage in the adoption process involves:

Interest seeking
Evaluating benefits
Applying the idea✔️
Awareness

Correct Answer Logic:

Trial involves the application of an idea on a small scale[cite: 7].

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3401

Question 2656

'Night Blindness' is an early sign of deficiency in:

Vitamin A✔️
Vitamin D
Vitamin K
Iron

Correct Answer Logic:

Vitamin A (Retinol) is required for the production of rhodopsin in the retina.

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Physics QUESTION #7005

Question 2657

A satellite orbits at height $h$ from Earth's surface where $h \ll R$ ($R$ = Earth's radius). The minimum increase in speed for the satellite to escape Earth's gravitational field is:

$\sqrt{2gR}$
$\sqrt{gR}$
$\sqrt{\dfrac{gR}{2}}$
$\sqrt{gR}\,(\sqrt{2}-1)$✔️

Correct Answer Logic:

For $h \ll R$, orbital radius $\approx R$:

Orbital speed: $v_o = \sqrt{gR}$

Escape speed from surface (approximately same radius): $v_e = \sqrt{2gR}$

Minimum increase: $\Delta v = v_e - v_o = \sqrt{2gR} - \sqrt{gR} = \sqrt{gR}(\sqrt{2}-1)$

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CISA QUESTION #6819

Question 2658

In evaluating separation of duties within an IT department, an auditor finds that the database administrator has both production library access and the authority to approve changes. What is the PRIMARY risk?

Inefficient change management
Unauthorized changes could be implemented without detection✔️
Delayed system updates
Increased operational costs

Correct Answer Logic:

Separation of duties requires that authorization be separated from execution. When the same person who can approve changes also has access to implement them, they can bypass controls and execute unauthorized modifications without independent verification, creating fraud risk and control circumvention.

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Planning QUESTION #5014

Question 2659

In parking demand estimation, what is the typical parking index for office buildings?

1 space per 10 sqm
1 space per 25 sqm
1 space per 50 sqm✔️
1 space per 100 sqm

Correct Answer Logic:

Standard parking requirements for office buildings typically range from 1 space per 40-60 sqm of gross floor area (approximately 1 space per 200-300 sqft), balancing employee/visitor needs with land use efficiency and transit availability.

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Physics QUESTION #988

Question 2660

Given statements about thermodynamic variables: (A) Internal energy, volume $V$, and mass $M$ are extensive. (B) Pressure $P$, temperature $T$ and density $\rho$ are intensive. (C) Volume $V$, temperature $T$ and density $\rho$ are intensive. (D) Mass $M$, temperature $T$ and internal energy are extensive. The correct statements are:

(B) and (C) Only
(C) and (D) Only
(D) and (A) Only
(A) and (B) Only✔️

Correct Answer Logic:

Extensive variables scale with system size: internal energy, volume, mass — so (A) is correct. Intensive variables are independent of size: $P$, $T$, $\rho$ — so (B) is correct. (C) is wrong because volume $V$ is extensive. (D) is wrong because $T$ is intensive.

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