The question asks about the largest gold-producing state in India as of 2020. This requires knowledge of the distribution of mineral resources and mining activities in India.
Karnataka is historically known for its gold mines, particularly the Kolar Gold Fields (KGF) and Hutti Gold Mines. While KGF has largely ceased operations, the Hutti Gold Mines continue to be a significant producer. As of 2020 and recent years, Karnataka consistently ranks as the largest gold-producing state in India, accounting for a substantial majority of the country's gold output.
B) Karnataka — Karnataka is the leading producer of gold in India, primarily due to the Hutti Gold Mines in the Raichur district. It accounts for over 80% of India's total gold production.
The question asks to identify which term among the given options is classified under Kingdom Animalia. To answer this, we need to understand the basic classification of living organisms, particularly the characteristics that define the Kingdom Animalia and its major subdivisions.
Correct Option: B) Metazoa is a subkingdom that includes all multicellular animals, which is essentially synonymous with Kingdom Animalia in modern classification, excluding single-celled organisms like protozoa.
The question asks to identify the bodies of water connected by the Bering Strait. This requires knowledge of world geography, specifically the location of major straits and the oceans/seas they connect.
Correct Option: D) The Bering Strait connects the Arctic Ocean and the Pacific Ocean. It is a narrow waterway separating the continents of Asia and North America, specifically connecting the Chukchi Sea (part of the Arctic Ocean) to the Bering Sea (part of the Pacific Ocean).
The problem presents a numerical series, and we need to find the next number in the sequence. To solve this, we will analyze the differences between consecutive terms to identify a pattern. Once the pattern is identified, we can apply it to find the missing term.
Both methods yield the same result.
Correct Option: B) 56 is the correct number that replaces the question mark in the given series, as it follows the established pattern of differences or the \(n(n+1)\) rule.
This question tests fundamental knowledge of computer memory units. In computing, memory units are typically based on powers of 2, rather than powers of 10, due to the binary nature of digital systems.
Correct Option: B) 1024
To solve this problem, we first need to determine the cost price (CP) of the article. We are given the selling price (SP) and the percentage loss. Once the CP is known, we can calculate the new selling price required to achieve a 4% gain.
A) ₹156 is the correct answer. This is the price at which the article should be sold to achieve a 4% gain after having calculated the cost price based on an initial 8% loss.
This question tests knowledge about the unique administrative structure of South Africa, which has three capital cities, each serving a different governmental function.
Correct Option: C) Pretoria
Two dice are thrown simultaneously and the sum of the numbers appearing on them is noted. What is the probability that the sum is 12?
To find the probability, we need to determine the total number of possible outcomes when two dice are thrown and the number of favorable outcomes where the sum of the numbers is 12. The probability is then calculated as the ratio of favorable outcomes to the total number of outcomes.
C) \( \frac{1}{36} \) is the correct probability, as there is only one way to get a sum of 12 (6 on both dice) out of 36 total possible outcomes.
The question asks to identify a substance commonly used in the production of plastics. This requires knowledge of common monomers and their applications in polymer chemistry.
B) Ethylene is a crucial monomer used in the production of polyethylene, a widely used plastic. Polyethylene is formed by the polymerization of ethylene molecules.
Value of cos 1° cos 2° cos 3°........cos 179° is:
The problem asks for the value of the product of cosine functions from 1° to 179°. We need to identify if any term in this product evaluates to zero, as that would make the entire product zero.
The given expression is:
\[ \cos 1^\circ \cos 2^\circ \cos 3^\circ \dots \cos 179^\circ \]This is a product of many cosine terms. If any single term in this product is equal to zero, then the entire product will be zero.
We need to find if there is any angle \(\theta\) between 1° and 179° (inclusive) for which \(\cos \theta = 0\).
We know that the cosine function is zero for angles of the form \((2n+1) \frac{\pi}{2}\) radians or \((2n+1) 90^\circ\) degrees, where \(n\) is an integer.
Let's check for such an angle in the given range:
The angle \(90^\circ\) is indeed present in the sequence of angles from 1° to 179°. Specifically, the term \(\cos 90^\circ\) is part of the product.
We know that \(\cos 90^\circ = 0\).
Since one of the terms in the product is 0, the entire product will be 0.
\[ \cos 1^\circ \cos 2^\circ \dots \cos 90^\circ \dots \cos 179^\circ = \text{Product} \times 0 \times \text{Other terms} = 0 \]C) 0 — As explained in the step-by-step solution, the product includes the term \(\cos 90^\circ\), which is equal to 0. Therefore, the entire product evaluates to 0.