The question asks about the orientation of the Himalayan ranges specifically in Arunachal Pradesh. To answer this, one needs to recall the general geographical alignment of the Himalayas and how it changes as it extends eastward into the northeastern states of India.
Correct Option: A) Southwest to northeast. In Arunachal Pradesh, the Himalayan ranges take a distinct bend and are oriented from the southwest to the northeast. This is a characteristic feature of the Eastern Himalayas, also known as the Purvanchal range, where the mountains turn sharply southward after crossing the Dihang (Brahmaputra) gorge, but within Arunachal Pradesh itself, the primary alignment is SW to NE.
The question asks about a specific ruling by the Delhi High Court in November 2024 concerning the 'Right to Be Forgotten', particularly in the context of matrimonial disputes. We need to identify the statement that accurately reflects the court's decision.
C) The Court permitted the petitioner to approach online platforms and search engines to mask their identities. This statement accurately reflects the Delhi High Court's ruling. The court recognized the petitioner's 'Right to Be Forgotten' and allowed them to request online platforms and search engines to de-index or mask information related to their matrimonial dispute, thereby protecting their privacy.
The question asks about India's category in the Global Hunger Index (GHI) for 2024. To answer this, one needs to recall the latest GHI report and India's performance in it.
A) Serious — India's GHI score of 28.7 in 2024 places it in the "Serious" category of hunger severity.
The question asks to identify the Indian state that receives rainfall from both the Southwest Monsoon and the Northeast Monsoon. This requires understanding the seasonal wind patterns and their associated rainfall distribution across India.
Correct Option: A) Tamil Nadu receives rainfall from both the Southwest Monsoon (though less due to rain shadow effect) and significantly from the Northeast Monsoon.
The question asks to identify the Indian city designated to establish the country's first Integrated Waste Management City-cum-Learning Centre by September 2025, with the goal of creating a garbage-free environment. This requires knowledge of recent urban development and environmental initiatives in India.
Correct Option: C) Gorakhpur is set to establish India's first Integrated Waste Management City-cum-Learning Centre by September 2025. This initiative aims to create a garbage-free environment in the city and serve as a model for waste management across the country. The project involves various aspects of waste collection, segregation, processing, and disposal, along with a learning centre to educate about sustainable waste management practices.
Simplify: \(\frac{8^2\times7^3}{\sqrt{64}\times\sqrt{2401}}\)
To simplify the given expression, we need to evaluate each term (powers and square roots) and then perform the multiplication and division operations. The key is to recognize perfect squares and cubes to simplify the square roots and powers efficiently.
The numerator is \(8^2 \times 7^3\).
The denominator is \(\sqrt{64} \times \sqrt{2401}\).
Now, divide the numerator by the denominator:
\[ \frac{8^2 \times 7^3}{\sqrt{64} \times \sqrt{2401}} = \frac{64 \times 343}{8 \times 49} \]We can simplify this expression by canceling common factors before multiplying the larger numbers:
\[ \frac{64 \times 343}{8 \times 49} = \left(\frac{64}{8}\right) \times \left(\frac{343}{49}\right) \]Perform the divisions:
Now, multiply the simplified terms:
\[ 8 \times 7 = 56 \]B) 56 is the correct answer as derived from the simplification steps.
This problem involves determining the relative positions of towns based on given directional information. We can solve this by drawing a diagram or visualizing the positions on a coordinate plane. We will place Town H as a reference point and then plot other towns accordingly.
Let's combine these facts:
If G is South-East of K, and G is South of H, then K must be to the North-West of H. Since K is North of J, J must also be to the West of H (or at H). If J were to the East of H, K would be North-East of H, making G South-East of K impossible (as G is South of H, it would then be South-West of K). Therefore, J must be to the West of H.
Consider the relative positions:
So, the order from West to East is J, H, I.
The question asks for the position of Town H with respect to Town J.
Since J is to the West of H, H must be to the East of J.
C) East — Based on our deduction, Town H is located to the East of Town J.
What is the rank of India in the Climate Change Performance Index 2025 published by Germanwatch, New Climate Institute, and Climate Action Network International?
The question asks for India's rank in the Climate Change Performance Index (CCPI) 2025. This requires knowledge of the latest CCPI report published by Germanwatch, New Climate Institute, and Climate Action Network International.
B) 10th — India was ranked 10th in the Climate Change Performance Index 2025, making it one of the top-performing countries in climate action.
The question asks to identify the specific Article in the Constitution of India that directs the state to secure a social order for the promotion of the welfare of the people. This falls under the Directive Principles of State Policy (DPSP) in Part IV of the Constitution.
C) Article 38 — This Article directly states the directive for the state to secure a social order for the promotion of the welfare of the people, encompassing social, economic, and political justice.
To find the measure of \(\angle DOC\), we will use the property that the sum of angles in a quadrilateral is 360° and the sum of angles in a triangle is 180°. We will also use the fact that DO and CO are angle bisectors.
Sum of angles in a quadrilateral: The sum of the interior angles of any quadrilateral ABCD is 360°.
\[ \angle A + \angle B + \angle C + \angle D = 360° \]Given \(\angle A = 53°\) and \(\angle B = 46°\).
\[ 53° + 46° + \angle C + \angle D = 360° \] \[ 99° + \angle C + \angle D = 360° \] \[ \angle C + \angle D = 360° - 99° \] \[ \angle C + \angle D = 261° \]Consider triangle DOC: In \(\triangle DOC\), the sum of its angles is 180°.
\[ \angle DOC + \angle ODC + \angle OCD = 180° \]Use angle bisector property: DO bisects \(\angle D\) and CO bisects \(\angle C\).
\[ \angle ODC = \frac{1}{2} \angle D \] \[ \angle OCD = \frac{1}{2} \angle C \]Substitute into the triangle sum equation:
\[ \angle DOC + \frac{1}{2} \angle D + \frac{1}{2} \angle C = 180° \] \[ \angle DOC + \frac{1}{2} (\angle D + \angle C) = 180° \]Substitute the sum of \(\angle C\) and \(\angle D\) from step 1:
\[ \angle DOC + \frac{1}{2} (261°) = 180° \] \[ \angle DOC + 130.5° = 180° \] \[ \angle DOC = 180° - 130.5° \] \[ \angle DOC = 49.5° \]Correct Option: C) 49.5°