The question asks to identify which local self-governing body falls under the jurisdiction of the Central Government in India. This requires knowledge of the different types of urban local bodies and their administrative control.
Correct Option: A) Cantonment Board โ Cantonment Boards are established under the Cantonments Act, 2006, and are administered by the Ministry of Defence of the Central Government. They are responsible for municipal administration in cantonment areas.
When you put a plant cell, fungal cell or a bacterial cell in a very dilute external medium, the plant cell or fungal cell will absorb water but will not burst, whereas an animal cell will burst. Which part of the plant cell helps it to withstand the pressure of incoming water?
The question describes a scenario where cells are placed in a hypotonic (very dilute) external medium, causing water to enter the cells by osmosis. It highlights the difference in response between plant/fungal/bacterial cells and animal cells, specifically asking which part of the plant cell prevents it from bursting. This points to a structural component that provides rigidity and protection against osmotic pressure.
A) Cell wall โ The cell wall is a rigid, protective layer found outside the plasma membrane in plant, fungal, and bacterial cells. It provides structural support and prevents the cell from bursting when it absorbs excessive water in a hypotonic solution by exerting an outward pressure that counteracts the inward turgor pressure.
This problem can be solved using Ohm's Law, which relates voltage (EMF), current, and resistance in an electrical circuit. The negative sign in the induced EMF indicates the direction of the induced current, as per Lenz's Law.
A) โ0.2 A is the correct answer. The calculation using Ohm's Law with the given values of induced EMF and resistance yields \(-0.2 \, \text{A}\).
The question asks to identify the river on which the Bhakra Nangal Dam is constructed. This is a factual question related to Indian geography and major river valley projects.
Correct Option: D) Sutlej
This problem involves analyzing inequalities. We need to determine which of the given conclusions logically follows from the provided statement: \(K \geq L > T \geq Z > V \leq X < R\). We will examine each option by tracing the relationships between the variables in the given statement.
The given statement is: \(K \geq L > T \geq Z > V \leq X < R\).
Correct Option: A) \(L > Z > V\)
The reactivity series is a list of metals arranged in order of their decreasing reactivity. A more reactive metal can displace a less reactive metal from its salt solution. The least reactive metals are typically found at the bottom of this series and are often referred to as noble metals because they resist corrosion and oxidation.
Correct Option: A) Au (Gold) is the least reactive metal among the given options. It is a noble metal, known for its extreme resistance to corrosion and oxidation, placing it at the very bottom of the reactivity series among common metals.
This problem can be solved by setting up a system of linear equations based on the given information about the father's and son's ages. We will define variables for their current ages and then form equations for their ages now and after 10 years.
Define variables: Let the son's present age be \(S\) years. Let the father's present age be \(F\) years.
Formulate the first equation (present ages): The problem states, "A father is four times as old as his son."
\[ F = 4S \quad \text{(Equation 1)} \]Determine ages after 10 years: After 10 years, the son's age will be \(S + 10\) years. After 10 years, the father's age will be \(F + 10\) years.
Formulate the second equation (ages after 10 years): The problem states, "After 10 years the fatherโs age will be 2.5 times that of his son."
\[ F + 10 = 2.5(S + 10) \quad \text{(Equation 2)} \]Solve the system of equations: Substitute Equation 1 into Equation 2:
\[ 4S + 10 = 2.5(S + 10) \]Distribute 2.5 on the right side:
\[ 4S + 10 = 2.5S + 2.5 \times 10 \] \[ 4S + 10 = 2.5S + 25 \]Subtract \(2.5S\) from both sides:
\[ 4S - 2.5S + 10 = 25 \] \[ 1.5S + 10 = 25 \]Subtract 10 from both sides:
\[ 1.5S = 25 - 10 \] \[ 1.5S = 15 \]Divide by 1.5:
\[ S = \frac{15}{1.5} \] \[ S = 10 \]Find the father's present age (optional, for verification): Using Equation 1, \(F = 4S = 4 \times 10 = 40\) years.
Verification: Present ages: Son = 10, Father = 40. (Father is 4 times son's age: \(40 = 4 \times 10\)). After 10 years: Son = \(10 + 10 = 20\), Father = \(40 + 10 = 50\). Is father's age 2.5 times son's age? \(50 = 2.5 \times 20\). Yes, \(50 = 50\). The solution is correct.
The son's present age is 10 years.
Correct Option: C) 10 years
This question tests the basic definitions of important points of concurrence in a triangle. We need to recall the definition of a circum-centre.
Correct Option: A) point of concurrence of perpendicular bisectors of its sides
This statement directly matches the definition of a circum-centre. The perpendicular bisector of a side is a line that passes through the midpoint of the side and is perpendicular to it. The point where these three lines meet is the circum-centre.
In the following question, a coded relationship between numbers/symbols and letters is given. Study the table carefully and answer the questions that follow.
| Number/Symbol | 6 | 8 | 4 | + | 5 | # | % | 2 | $ | 1 | ^ | 7 | 9 | * | @ |
| Code | S | U | T | W | N | P | V | D | A | Z | J | M | O | M | Y |
Instructions:
(i) Each number or symbol in the first row is coded with a corresponding letter in the second row.
(ii) Using the same coding pattern, decode the given expressions.
(iii) Answer the questions based on this coding system.
What is the code for %567@?
The problem provides a coding table where each number or symbol in the first row corresponds to a specific letter in the second row. We need to use this mapping to decode the given expression '%567@'.
C) VNSMY is the correct code for %567@, as derived from the provided coding table.
The question asks to identify the agency responsible for coordinating data collection for GDP calculation in India. This requires knowledge of the statistical organizations within the Indian government structure.
Correct Option: A) The National Statistical Office (NSO) is the central agency in India responsible for the collection, compilation, and dissemination of macroeconomic statistics, including the Gross Domestic Product (GDP). It coordinates with various federal and state government agencies and departments to gather the required data.