Which Article of the Directive Principles of State Policy was added by the 97th Constitutional Amendment Act of the Constitution of India?
Article 39 A
Article 43 B
Article 48 A
Article 43 A
The question asks to identify the Article of the Directive Principles of State Policy (DPSP) that was added by the 97th Constitutional Amendment Act. This requires knowledge of specific constitutional amendments and their impact on the DPSP.
Correct Option: B) Article 43 B was added by the 97th Constitutional Amendment Act, 2011. This article mandates the State to promote voluntary formation, autonomous functioning, democratic control, and professional management of cooperative societies.
The problem asks us to identify the letter-cluster pair that does not follow the same pattern as the other three, based on the English alphabetical order. We need to find the relationship between the letters within each pair and between the two letters of the pair.
B) MU - KH
In this pair, M \(\xrightarrow{-2}\) K, but U \(\xrightarrow{-13}\) H. This does not match the \((+2, +2)\) pattern observed in the other options.
The question asks to identify the founder of the Vedanta College in Calcutta, which aimed to promote both Indian and Western learning. This requires knowledge of prominent social and religious reformers in 19th-century India and their contributions to education.
Correct Option: A) Rammohan Roy founded the Vedanta College in Calcutta in 1825 to promote a blend of Indian (Vedanta philosophy) and Western learning (science, humanities).
The problem asks us to find the missing letter-clusters, # and %, based on the pattern and relationship observed in the given analogy. We need to analyze the relationship between J, L, H and I, K, G to deduce the patterns for # and %.
The question asks to identify the correct combination of the political party and the constituency of the Chief Minister of Jharkhand following the 2024 Assembly elections. This requires knowledge of current political affairs in Jharkhand, specifically the outcome of the assembly elections and the subsequent formation of the government.
After the 2024 Jharkhand Assembly elections, Champai Soren of the Jharkhand Mukti Morcha (JMM) became the Chief Minister. He was elected from the Barhait constituency.
A) JMM, Barhait — This option correctly identifies Champai Soren's party (JMM) and his constituency (Barhait) after he became Chief Minister following the 2024 Jharkhand Assembly elections.
This problem involves calculating a person's total income given their spending percentage and the amount saved. We can determine the percentage of income saved and then use this percentage along with the saved amount to find the total income.
First, let's assume Kiran's total income is 100%.
Kiran spends 45% of his income. Therefore, the percentage of income saved can be calculated as:
\[ \text{Percentage of income saved} = 100\% - \text{Percentage of income spent} \]\[ \text{Percentage of income saved} = 100\% - 45\% = 55\% \]This means Kiran saves 55% of his total income.
We are given that Kiran saves ₹66,000. So, 55% of his income is equal to ₹66,000.
\[ 55\% \text{ of Income} = \text{₹}66,000 \]To find the total income, we can set up the equation:
\[ 0.55 \times \text{Income} = \text{₹}66,000 \]Now, solve for Income:
\[ \text{Income} = \frac{\text{₹}66,000}{0.55} \]\[ \text{Income} = \frac{\text{₹}66,000 \times 100}{55} \]\[ \text{Income} = \frac{\text{₹}6,600,000}{55} \]\[ \text{Income} = \text{₹}120,000 \]Thus, Kiran's total income is ₹1,20,000.
Correct Option: D) 1,20,000
The question asks for the specific day celebrated in November 2024 to honor India's contribution to the dairy revolution. This requires knowledge of significant dates related to India's dairy sector.
India celebrates National Milk Day on November 26th each year. This day commemorates the birth anniversary of Dr. Verghese Kurien, known as the 'Father of the White Revolution' in India. His efforts transformed India from a milk-deficient nation into the world's largest milk producer. Therefore, this day specifically honors India's contribution to the dairy revolution.
Correct Option: C) National Milk Day
To find the overall loss percentage, we need to calculate the total cost price (CP) and total selling price (SP) for both dryers. Since the selling price of each dryer is given, we can find the cost price of each dryer using the profit/loss percentages. Then, we sum up the individual CPs and SPs to find the total CP and SP, respectively. Finally, we calculate the total loss and express it as a percentage of the total cost price.
The first dryer is sold at a profit of 5%. The selling price (SP) is ₹63,000.
\[ \text{SP}_1 = \text{CP}_1 \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]\[ 63000 = \text{CP}_1 \times \left(1 + \frac{5}{100}\right) \]\[ 63000 = \text{CP}_1 \times \left(\frac{105}{100}\right) \]\[ \text{CP}_1 = 63000 \times \frac{100}{105} = 60000 \]The second dryer is sold at a loss of 30%. The selling price (SP) is ₹63,000.
\[ \text{SP}_2 = \text{CP}_2 \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]\[ 63000 = \text{CP}_2 \times \left(1 - \frac{30}{100}\right) \]\[ 63000 = \text{CP}_2 \times \left(\frac{70}{100}\right) \]\[ \text{CP}_2 = 63000 \times \frac{100}{70} = 90000 \]Since each dryer is sold for ₹63,000, the total selling price for two dryers is:
\[ \text{Total SP} = \text{SP}_1 + \text{SP}_2 = 63000 + 63000 = 126000 \]The total cost price for both dryers is:
\[ \text{Total CP} = \text{CP}_1 + \text{CP}_2 = 60000 + 90000 = 150000 \]Since Total CP > Total SP, there is a loss.
\[ \text{Total Loss} = \text{Total CP} - \text{Total SP} = 150000 - 126000 = 24000 \]The loss percentage is calculated on the total cost price.
\[ \text{Loss Percentage} = \frac{\text{Total Loss}}{\text{Total CP}} \times 100 \]\[ \text{Loss Percentage} = \frac{24000}{150000} \times 100 \]\[ \text{Loss Percentage} = \frac{24}{150} \times 100 = \frac{8}{50} \times 100 = 8 \times 2 = 16\% \]The loss percentage in the whole transaction is 16%.
D) 16%
We need to find the principal sum given the difference between compound interest (CI) and simple interest (SI) for 2 years at a specific rate. For 2 years, the difference between CI and SI can be directly calculated using a formula involving the principal sum and the rate of interest.
The formula for the difference between CI and SI for 2 years is:
\[ \text{CI} - \text{SI} = P \left( \frac{R}{100} \right)^2 \]Where \(P\) is the principal sum, and \(R\) is the rate of interest per annum.
We have \(\text{CI} - \text{SI} = 797\), \(R = 16\).
\[ 797 = P \left( \frac{16}{100} \right)^2 \]Rounding \(31132.8125\) to the nearest integer gives \(31133\).
Correct Option: D) ₹31,133
The problem requires us to modify a given number by adding 2 to each of its digits, based on whether the digit is even or odd. After forming the new number, we need to find the sum of its first digit from the left and its first digit from the right.
Correct Option: C) 12