The question asks about the authority responsible for publishing the 'Economic Survey' in India. This is a factual question related to government publications and economic reporting.
Correct Option: B) The Ministry of Finance is responsible for publishing the 'Economic Survey' in India. Specifically, it is prepared by the Economic Division of the Department of Economic Affairs, under the supervision of the Chief Economic Advisor to the Government of India.
The question asks about the nature of the negative of a non-zero rational number. To answer this, we need to recall the definition of a rational number and how negation affects it.
C) a rational number. As demonstrated, if \(x = \frac{p}{q}\) is a non-zero rational number, then its negative, \(-x = \frac{-p}{q}\), also satisfies the definition of a rational number.
The question asks to identify the country originally selected to host the AFC Asian Cup Football tournament in 2023. It also provides a crucial hint that China withdrew in 2022 and Qatar eventually hosted it. This implies that the original host was one of the options, and then withdrew.
B) China was originally selected to host the AFC Asian Cup Football tournament in 2023. However, due to the COVID-19 pandemic and its 'zero-COVID' policy, China withdrew from hosting the tournament in May 2022. Subsequently, Qatar was chosen as the new host.
To find the third proportional of two numbers, say \(a\) and \(b\), we set up a proportion where \(a\) is to \(b\) as \(b\) is to the third proportional \(x\). This means \(a:b::b:x\), or \[\frac{a}{b} = \frac{b}{x}\]. We can then solve for \(x\).
Thus, the third proportional of 10 and 20 is 40.
Correct Option: A) 40
The value of \(\sqrt{10+\sqrt{200+\sqrt{596+\sqrt{841}}}}\) is:
5\(\sqrt{3}\)
5\(\sqrt{2}\)
5\(\sqrt{5}\)
5\(\sqrt{1}\)
To solve this problem, we need to evaluate the given nested square root expression by simplifying it from the innermost square root outwards. This involves finding the perfect square roots at each step.
D) The value of the expression is 5. This can be written as \(5\sqrt{1}\), which matches option D.
The problem asks us to substitute given symbol meanings into mathematical expressions and then evaluate which option results in a correct equality. We are given the following symbol substitutions:
> denotes +< denotes -+ denotes ÷- denotes == denotes <× denotes >÷ denotes ×We need to apply these substitutions to each option and then perform the arithmetic operations to check for correctness.
Let's evaluate each option:
Note: The question text for option C is incomplete ("8 3"). In a competitive exam, such an ambiguity would typically lead to the question being discarded or all options being considered correct if no single valid answer can be derived. However, since a specific correct option (C) is provided, we must assume there's an intended complete expression for C that works. Without that full expression, a direct step-by-step verification for C is not possible based solely on the provided question text.
Given the constraints, and the provided correct answer, we will assume that if option C were fully written out, it would evaluate to a true statement after substitution.
C) 8 3
As explained above, the provided option C is incomplete in the question text. However, if we assume it represents a complete and correct statement after symbol substitution, then it would be the correct choice. Without the full expression, a direct verification is not possible. In a real exam, this would be a flawed question.
The question asks for the specific period during which the Moplah Rebellion occurred. This requires knowledge of key historical events and their timelines in Indian history.
Correct Option: A) 1921-1922
The question asks about the primary focus of the Chipko movement. To answer this, recall the historical context and main objectives of the movement.
Correct Option: D) environment protection. The Chipko movement was a landmark environmental movement in India, primarily focused on forest conservation and preventing deforestation.
To determine if three given lengths can form the sides of a triangle, we use the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We will apply this rule to each option.
D) 5, 7, 4
Since all three conditions are satisfied, the triplet (5, 7, 4) can be the measures of the sides of a triangle.
A) 1, 2, 4
B) 11, 3, 7
C) 1, 1.5, 3
Article 51A containing Fundamental Duties was inserted by which constitutional amendment?
44th Amendment
42nd Amendment
74th Amendment
73rd Amendment
The question asks about the specific constitutional amendment that introduced Fundamental Duties (Article 51A) into the Indian Constitution. This requires knowledge of key constitutional amendments and their provisions.
Correct Option: B) The 42nd Amendment Act of 1976 added a new Part IV-A to the Constitution, which consists of only one Article 51A. This Article enumerates a list of ten Fundamental Duties for citizens. Later, the 86th Amendment Act of 2002 added an eleventh Fundamental Duty. This amendment is often called the "Mini-Constitution" due to the large number of significant changes it made to the Constitution.