The question asks to identify the classical Indian dance form with which independent dance numbers like Chali, Ramdani, and Jhumura are associated. This requires knowledge of the specific repertoire and components of various Indian classical dance forms.
Correct Option: B) Sattriya
To find the ratio of the two numbers, we first need to express them in terms of the third number. We assume the third number to be a variable, say \(x\), and then calculate the two numbers based on the given percentages. Finally, we form the ratio of these two numbers and simplify it.
Correct Option: A) The ratio of the two numbers is 73 : 77, which matches our calculation.
To identify the limiting reagent, we need to compare the given moles of reactants with their stoichiometric ratios from the balanced chemical equation. The reactant that gets consumed first, thereby stopping the reaction, is the limiting reagent.
The given reaction is:
\[ 2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O} \]From the balanced equation, 2 moles of H\(_2\) react with 1 mole of O\(_2\).
We are given 5 moles of H\(_2\) and 2 moles of O\(_2\).
Let's calculate how much O\(_2\) is needed to react completely with 5 moles of H\(_2\):
\[ \text{Moles of O}_2 \text{ needed} = 5 \text{ mol H}_2 \times \frac{1 \text{ mol O}_2}{2 \text{ mol H}_2} = 2.5 \text{ mol O}_2 \]We need 2.5 moles of O\(_2\) to react completely with 5 moles of H\(_2\).
However, we only have 2 moles of O\(_2\) available.
Since the available amount of O\(_2\) (2 moles) is less than the required amount (2.5 moles), O\(_2\) will be completely consumed before all the H\(_2\) reacts.
The reactant that is completely consumed is the limiting reagent. In this case, O\(_2\) is the limiting reagent.
D) O\(_2\) — As calculated, 2 moles of O\(_2\) are available, but 2.5 moles are required to react with 5 moles of H\(_2\). Therefore, O\(_2\) will run out first, making it the limiting reagent.
The problem asks us to identify the pattern of mathematical operations in two given sequences of numbers and then find an option that follows the same pattern. The operations must be performed on whole numbers, not their constituent digits.
D) 8 - 10 - 20 - 40
Thus, option D follows the identified pattern.
The question asks about the maximum score for project design evaluation in the DDU-GKY application process. This requires specific knowledge of the DDU-GKY guidelines for project appraisal.
C) 1400 — The DDU-GKY guidelines specify 1400 as the maximum score for the project design evaluation component in the application process.
The question asks to identify the specific day celebrated in February to honor Sarojini Naidu, known as the "Nightingale of India." This requires knowledge of important national days and their historical significance.
Correct Option: C) National Women's Day — February 13th is celebrated as National Women's Day in India to commemorate the birth anniversary of Sarojini Naidu, recognizing her contributions as a freedom fighter, poet, and advocate for women's rights.
To solve this problem, we need to identify the highest and lowest numbers from the given list. Then, we extract the second digit of the highest number and the third digit of the lowest number. Finally, we add these two digits to find the resultant value.
A) 14 is the correct answer, as calculated by adding the second digit of the highest number (8) and the third digit of the lowest number (6).
The question asks to identify which option is NOT a component of the Panchayati Raj Institutions (PRIs) at the village level in India. Understanding the three-tier structure of PRIs as mandated by the 73rd Constitutional Amendment Act is crucial to answer this question.
B) Panchayat Samiti is the correct answer because it operates at the intermediate (block) level, not at the village level. It coordinates the activities of the Gram Panchayats within its block.
This problem involves concepts of relative speed and distance, specifically for trains crossing each other and a bridge. We will first determine the lengths of Train A and Train B using the information about them crossing each other. Then, we will use the length of Train B and the time it takes to cross a bridge to find the length of the bridge.
Correct Option: D) 545
The problem involves calculating profit percentage after an initial loss. We need to first find the Cost Price (CP) of the shirt using the given Selling Price (SP) and loss percentage. Once the CP is known, we can calculate the new profit percentage (x%) when the shirt is sold at a different SP.
Given that the trader lost 5% by selling a shirt for ₹950.
Let the Cost Price be \(CP\).
Selling Price (\(SP_1\)) = ₹950
Loss percentage = 5%
The formula for Selling Price with a loss is:
\[ SP = CP \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]Substitute the given values:
\[ 950 = CP \times \left(1 - \frac{5}{100}\right) \] \[ 950 = CP \times \left(1 - 0.05\right) \] \[ 950 = CP \times 0.95 \]Now, solve for \(CP\):
\[ CP = \frac{950}{0.95} \] \[ CP = \frac{95000}{95} \] \[ CP = \text{₹}1000 \]So, the Cost Price of the shirt is ₹1000.
The trader will gain x% by selling the shirt for ₹1,350.
New Selling Price (\(SP_2\)) = ₹1,350
Cost Price (\(CP\)) = ₹1000
First, calculate the profit amount:
\[ \text{Profit} = SP_2 - CP \] \[ \text{Profit} = 1350 - 1000 \] \[ \text{Profit} = \text{₹}350 \]Now, calculate the profit percentage (x%):
\[ \text{Profit Percentage (x)} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \] \[ x = \left(\frac{350}{1000}\right) \times 100 \] \[ x = \frac{350}{10} \] \[ x = 35 \]Therefore, the value of x is 35.
Correct Option: B) 35