The question asks to identify the state with which the Pattachitra style of painting is associated. This requires knowledge of traditional Indian art forms and their geographical origins.
Correct Option: C) Odisha is the correct answer. Pattachitra is a traditional painting form from Odisha, India. The word 'Pattachitra' is derived from the Sanskrit words 'patta' (cloth) and 'chitra' (picture). These paintings are known for their intricate details, mythological narratives, and vibrant colours, often depicting stories from Hindu mythology, especially those related to Lord Jagannath.
The question asks to identify the Sikh Guru responsible for establishing the Khalsa Panth. This requires knowledge of the history and key contributions of the Sikh Gurus.
Correct Option: B) Shri Guru Gobind Singh ji. Guru Gobind Singh Ji, the tenth Sikh Guru, established the Khalsa Panth in 1699. This was a significant event that transformed the Sikh community into a disciplined warrior-saint order, committed to defending their faith and human rights.
The question asks to identify which of the given monuments is NOT located in Delhi. This requires knowledge of the geographical locations of prominent historical and national monuments in India.
Correct Option: A) Buland Darwaza is located in Fatehpur Sikri, Uttar Pradesh, not in Delhi.
The question asks to identify which of the given diseases is caused by a virus. This requires knowledge of the causative agents (bacteria, viruses, etc.) for common diseases.
Correct Option: B) Chicken Pox is caused by the Varicella-zoster virus.
To solve this problem, we need to follow the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's apply these steps to the given expression: \( 180 \div (2^{3} + 3^{2} + 1) + 37 - 20 \)
Thus, the value of the expression is 27.
A) 27 is the correct answer, as derived by following the order of operations.
The question asks for the full form of the acronym URL in the context of computers and the internet. This is a common term in computer science and general internet knowledge.
Correct Option: C) Uniform Resource Locator is the correct full form of URL. It precisely describes its function: a uniform way to locate resources on the internet.
The question asks to identify the activity related to the term 'Sericulture'. This requires knowledge of common biological and agricultural terms and their definitions.
Correct Option: C) Silk farming — Sericulture is specifically the cultivation of silkworms to produce silk. This directly matches the definition of silk farming.
A rope is divided in to three different parts. The first part is \( \frac{1}{5} \) of the whole length, the second part is \( \frac{3}{2} \) of the first. The third part is what fraction of the rope?
\( \frac{3}{4} \)
\( \frac{2}{3} \)
\( \frac{1}{3} \)
\( \frac{1}{2} \)
To find the fraction of the rope that the third part represents, we first need to determine the lengths of the first and second parts as fractions of the whole rope. Then, we subtract the sum of these two parts from the total length of the rope (which is 1, representing the whole).
Identify the length of the first part:
The problem states that the first part is \( \frac{1}{5} \) of the whole length.
\[ \text{First part} = \frac{1}{5} \]Calculate the length of the second part:
The second part is \( \frac{3}{2} \) of the first part.
\[ \text{Second part} = \frac{3}{2} \times \text{First part} \]\[ \text{Second part} = \frac{3}{2} \times \frac{1}{5} \]\[ \text{Second part} = \frac{3 \times 1}{2 \times 5} \]\[ \text{Second part} = \frac{3}{10} \]Calculate the total length of the first two parts:
Add the fractions representing the first and second parts.
\[ \text{Sum of first two parts} = \text{First part} + \text{Second part} \]\[ \text{Sum of first two parts} = \frac{1}{5} + \frac{3}{10} \]Find a common denominator to add the fractions:
The least common multiple of 5 and 10 is 10.
\[ \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10} \]\[ \text{Sum of first two parts} = \frac{2}{10} + \frac{3}{10} \]\[ \text{Sum of first two parts} = \frac{2 + 3}{10} \]\[ \text{Sum of first two parts} = \frac{5}{10} \]\[ \text{Sum of first two parts} = \frac{1}{2} \]Calculate the length of the third part:
The whole rope is represented by 1. Subtract the sum of the first two parts from 1.
\[ \text{Third part} = 1 - \text{Sum of first two parts} \]\[ \text{Third part} = 1 - \frac{1}{2} \]\[ \text{Third part} = \frac{2}{2} - \frac{1}{2} \]\[ \text{Third part} = \frac{2 - 1}{2} \]\[ \text{Third part} = \frac{1}{2} \]Therefore, the third part is \( \frac{1}{2} \) of the rope.
Correct Option: D) \( \frac{1}{2} \)
The problem requires evaluating a trigonometric expression. We will use trigonometric identities for complementary angles and standard trigonometric values to simplify the expression.
C) The value of the expression is 10, which matches option C.
The question asks to identify an organism that exhibits a symbiotic relationship. A symbiotic relationship is a close and long-term interaction between two different biological organisms, where at least one organism benefits. We need to evaluate each option based on this definition.
Correct Option: B) Lichen — Lichens are a classic example of a mutualistic symbiotic relationship between a fungus (mycobiont) and an alga or cyanobacterium (phycobiont). The fungus provides protection and absorbs water and minerals, while the alga/cyanobacterium performs photosynthesis, providing food for both.