The question asks for the common name of the International Bank for Reconstruction and Development (IBRD). This requires knowledge of international financial institutions and their popular appellations.
Correct Option: C) World Bank — The International Bank for Reconstruction and Development (IBRD) is the original institution and a core part of the World Bank Group, and is often referred to simply as the World Bank.
The question asks for an example of a thermonuclear fusion reaction. We need to identify which of the given options involves the fusion of light atomic nuclei at extremely high temperatures, characteristic of thermonuclear processes.
C) Hydrogen bomb — A hydrogen bomb, also known as a thermonuclear weapon, utilizes the fusion of light atomic nuclei (typically isotopes of hydrogen like deuterium and tritium) at extremely high temperatures and pressures. These conditions are usually achieved by detonating a fission bomb (atomic bomb) as a primary stage, making it a thermonuclear fusion reaction.
The problem presents a statement and three possible courses of action. We need to determine which of these actions logically follow from the given statement. The statement implies a conditional relationship: if students from sociology or social work participate, the college will win prizes. We must evaluate each course of action based on whether it is a necessary or logical consequence or a beneficial step derived from this statement.
Analyze the Statement: The statement is: "If any of the faculty of sociology or social work sends his/her students to the inter-collegiate debate, the college will definitely get some prizes." This is a conditional statement. It establishes a sufficient condition (participation of students from sociology or social work) for a definite outcome (winning prizes).
Evaluate Course of Action (i): "The management must make sure that either of the two faculties of sociology and social work makes his/her students participate in the debate."
Evaluate Course of Action (ii): "The management must allow only the students of faculty of sociology and social work to take part in the debate."
Evaluate Course of Action (iii): "Students from sociology or social work must be encouraged to participate in inter-collegiate debates."
B) Only actions (i) and (iii) follow.
Actions (i) and (iii) are logical steps to take given the statement's guarantee of prizes if students from sociology or social work participate. Action (ii) is an overreach, as the statement does not imply exclusivity.
The question asks to identify which of the given options is NOT a land-based ballistic missile. This requires knowledge of India's missile systems and their launch platforms.
Correct Option: B) Dhanush
The Dhanush missile is a naval variant of the Prithvi missile. It is designed to be launched from ships, specifically from the Indian Navy's Sukanya-class offshore patrol vessels. Therefore, it is a sea-based ballistic missile, not a land-based one.
The question asks to identify the Article of the Indian Constitution that guarantees the Right to Life. This is a direct knowledge-based question from the Fundamental Rights section of the Constitution.
Correct Option: C) Article 21 is the correct answer. It guarantees the fundamental Right to Life and Personal Liberty, which has been broadly interpreted by the Supreme Court to include various aspects of a dignified life.
In the following relationship chart, A→B means A is the mother (or any other relationship) of B. Now using the chart, find out how is F related to E.
To determine how F is related to E using the relationship chart, we need to trace the connections between the individuals as depicted in the diagram.
Correct Option: A) Spouse
If \( \frac{1}{25} \) : \( \frac{1}{x} \) =\( \frac{1}{x} \) : \( \frac{1}{625} \), then the value of x is _____.
The problem involves a proportion. We are given a relationship between four terms in a ratio format. The key to solving this is to understand that in a proportion \(a:b = c:d\), the product of the means equals the product of the extremes, i.e., \(b \times c = a \times d\). We will apply this property to find the value of \(x\).
The given proportion is:
\[ \frac{1}{25} : \frac{1}{x} = \frac{1}{x} : \frac{1}{625} \]In a proportion \(a:b = c:d\), the product of the means (inner terms) is equal to the product of the extremes (outer terms). So, \(b \times c = a \times d\).
Applying this rule to the given proportion:
\[ \left(\frac{1}{x}\right) \times \left(\frac{1}{x}\right) = \left(\frac{1}{25}\right) \times \left(\frac{1}{625}\right) \]Simplify both sides of the equation:
\[ \frac{1}{x^2} = \frac{1}{25 \times 625} \]To find \(x^2\), we can take the reciprocal of both sides:
\[ x^2 = 25 \times 625 \]Now, we need to find the value of \(x\). Take the square root of both sides:
\[ x = \sqrt{25 \times 625} \]We know that \(\sqrt{25} = 5\) and \(\sqrt{625} = 25\). So,
\[ x = 5 \times 25 \]Calculate the final value of \(x\):
\[ x = 125 \]A) 125 is the correct value for \(x\), as derived from the proportion.
Find the value of \(\frac{119.5^2-116.4^2}{119.5-116.4}\)
The problem asks us to evaluate an algebraic expression involving squares and differences. We can simplify the expression by recognizing the algebraic identity for the difference of squares: \(a^2 - b^2 = (a-b)(a+b)\). This will allow for cancellation and a straightforward calculation.
D) 235.9 is the correct value of the given expression.
Study the given pattern carefully and select the alphabet that can replace the question mark (?) in it.
The given sequence of letters follows a pattern based on alphabetical order. We need to identify the rule applied to the sequence and determine the missing letter.
Therefore, the letter that should replace the question mark is R.
Correct Option: C) R