The question asks for the definition of 'Hydroponics'. We need to identify the option that correctly describes this farming method.
Correct Option: C) plants are grown in mineral nutrient solutions and without soil
The question asks to identify the correct statement about Sucheta Kripalani's historical role in Indian politics. We need to evaluate each option based on known historical facts about her and other prominent female figures in India.
Based on this evaluation, only Option A is factually correct.
Correct Option: A) Sucheta Kripalani was the first female Chief Minister of an Indian State. She became the Chief Minister of Uttar Pradesh in 1963, making her the first woman to hold this position in any Indian state.
The question asks to identify which of the given options is NOT a database software. We need to evaluate each option to determine its primary function.
Correct Option: B) MS Word
If an amount gets tripled in 12\( \frac{1}{2} \) years, the rate of simple interest is:
This problem involves calculating the rate of simple interest. We are given the time period and that the principal amount triples. We can use the simple interest formula to find the rate.
Let the principal amount be \(P\).
According to the problem, the amount triples in \(12 \frac{1}{2}\) years. This means the final amount (\(A\)) will be \(3P\).
The time period (\(T\)) is given as \(12 \frac{1}{2}\) years, which can be written as \(\frac{25}{2}\) years.
The simple interest (\(SI\)) earned is the final amount minus the principal amount:
\[ SI = A - P = 3P - P = 2P \]The formula for simple interest is:
\[ SI = \frac{P \times R \times T}{100} \]Substitute the known values into the formula:
\[ 2P = \frac{P \times R \times \frac{25}{2}}{100} \]Now, we need to solve for \(R\). We can cancel \(P\) from both sides (assuming \(P \neq 0\)):
\[ 2 = \frac{R \times 25}{2 \times 100} \]\[ 2 = \frac{25R}{200} \]Multiply both sides by 200:
\[ 2 \times 200 = 25R \]\[ 400 = 25R \]Divide by 25 to find \(R\):
\[ R = \frac{400}{25} \]\[ R = 16 \]Therefore, the rate of simple interest is 16%.
B) 16% is the correct rate of simple interest calculated using the given conditions.
The question asks for the year in which the Third Battle of Panipat was fought. This is a direct factual question from Indian history, specifically related to the Mughal and Maratha periods. Recalling the key dates of major battles is essential.
Correct Option: A) 1761
This problem involves work and time. We will use the concept that if a person or a group of people can complete a task in 'n' days, then their one day's work is \(1/n\) of the total work. We will find the combined one day's work of P, Q, and R and then use it to find the total time taken when they work together.
Calculate one day's work for each pair:
Sum the one day's work of the pairs:
Adding the one day's work of all three pairs:
\[ (P+Q) + (Q+R) + (P+R) = \frac{1}{9} + \frac{1}{12} + \frac{1}{18} \]\[ 2(P+Q+R) = \frac{4}{36} + \frac{3}{36} + \frac{2}{36} \]\[ 2(P+Q+R) = \frac{4+3+2}{36} \]\[ 2(P+Q+R) = \frac{9}{36} \]\[ 2(P+Q+R) = \frac{1}{4} \]Calculate the combined one day's work of P, Q, and R:
From the previous step, we have \(2(P+Q+R) = \frac{1}{4}\). To find the one day's work of P, Q, and R together, divide by 2:
\[ (P+Q+R) = \frac{1}{4} \times \frac{1}{2} \]\[ (P+Q+R) = \frac{1}{8} \]Determine the total time taken:
If (P+Q+R)'s one day's work is \(\frac{1}{8}\), it means they can complete \(\frac{1}{8}\) of the field in one day. Therefore, they will take 8 days to reap the entire field if all three work together.
D) 8 days. The combined one day's work of P, Q, and R is \(1/8\), meaning they will take 8 days to complete the task together.
The question asks to identify a specific mechanism used by the Government of India for electronic communication with citizens across the country using emails, outbound dialing, and SMS messages. This requires knowledge of various e-governance initiatives and their functionalities.
D) e-Sampark is the correct answer. It is a multi-modal platform developed by the Government of India to facilitate electronic communication with citizens across India via emails, outbound dialing, and SMS messages, aligning precisely with the description provided in the question.
The question asks for the year the Swaraj Party was formed at Gaya. This is a direct factual question related to the history of the Indian National Movement. Recalling the key events and their timelines during the Non-Cooperation Movement and its aftermath is crucial.
Correct Option: D) 1923
The question asks to identify which of the given options is NOT a greenhouse gas. To answer this, we need to recall the definition of greenhouse gases and common examples of such gases.
Correct Option: C) Oxygen is not a greenhouse gas. It is a diatomic molecule that does not absorb infrared radiation effectively, unlike greenhouse gases which have more complex molecular structures that allow them to absorb and re-emit thermal energy.
To calculate the compound interest, we first need to find the total amount after 3 years using the compound interest formula. Then, we subtract the principal amount from the total amount to get the compound interest.
The formula for the amount with compound interest is:
\[ A = P \left(1 + \frac{R}{100}\right)^T \]Compound Interest is the difference between the Amount and the Principal.
\[ \text{CI} = A - P \]\[ \text{CI} = 13310 - 10000 \]\[ \text{CI} = \text{₹}3310 \]C) ₹3310 is the correct compound interest calculated for ₹10,000 at 10% per annum for 3 years.