The question asks to identify the vitamin responsible for activating proteins and calcium crucial for blood clotting. This requires knowledge of the specific functions of various vitamins in the human body, particularly their roles in coagulation.
Correct Option: A) Vitamin K is essential for the synthesis of several blood clotting factors (e.g., prothrombin, factors VII, IX, and X) in the liver. It acts as a co-factor for the enzyme gamma-glutamyl carboxylase, which modifies these proteins, enabling them to bind calcium ions. This calcium binding is crucial for the activation of these clotting factors and the subsequent formation of a blood clot.
This is a syllogism problem. We need to analyze the given statements and determine which conclusions logically follow. We can use Venn diagrams to visualize the relationships between the categories (potatoes, tomatoes, onions).
B) Only II
Conclusion II logically follows from the given statements. Conclusion I does not.
The question asks to identify the author of the novel 'The White Tiger'. This is a direct factual recall question related to Indian literature and prominent authors.
Correct Option: C) Aravind Adiga wrote the novel 'The White Tiger'. It won the Man Booker Prize in 2008 and is known for its dark humor and perspective on India's class struggle.
To simplify the given expression, we must follow the order of operations, commonly remembered by the acronym BODMAS/PEMDAS. This stands for Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
Thus, the simplified value of the expression is \(216\).
Correct Option: A) 216
This problem involves the concept of partnership, where profits are distributed among partners in the ratio of their investments. We are given the investment ratio of two partners, Ram Sagar and Bhagat Ram, and the total profit. We need to find Bhagat Ram's share of the profit.
Identify the given ratio and total profit:
The investment ratio of Ram Sagar to Bhagat Ram is \(10:13\).
Total profit is ₹\(8,050\).
Determine the sum of the ratio parts:
The sum of the ratio parts is \(10 + 13 = 23\).
Calculate Bhagat Ram's share of the profit:
Bhagat Ram's share in the ratio is \(13\).
To find Bhagat Ram's share of the total profit, we use the formula:
\[ \text{Bhagat Ram's Share} = \left( \frac{\text{Bhagat Ram's Ratio Part}}{\text{Sum of Ratio Parts}} \right) \times \text{Total Profit} \]\[ \text{Bhagat Ram's Share} = \left( \frac{13}{23} \right) \times 8050 \]Perform the calculation:
Divide \(8050\) by \(23\):
\[ 8050 \div 23 = 350 \]\[ \text{Bhagat Ram's Share} = 13 \times 350 \]\[ \text{Bhagat Ram's Share} = 4550 \]So, Bhagat Ram's share in the profit is ₹\(4,550\).
Correct Option: A) ₹4,550
The question asks about the significance of the 1929 Lahore Congress session. To answer this, we need to recall the key resolutions and declarations made during that particular session of the Indian National Congress.
Correct Option: A) commitment to Purna Swaraj
The Lahore Session of 1929 is primarily remembered for the resolution declaring Purna Swaraj (complete independence) as the ultimate goal of the Indian National Congress. This was a landmark decision that fundamentally changed the direction of the Indian freedom struggle.
The question asks to identify the Indian National Congress (INC) session where the National Anthem was sung for the first time. This is a factual question related to the history of the Indian National Congress and the National Anthem.
Correct Option: B) 1911, Kolkata
The National Anthem, "Jana Gana Mana", was sung for the first time at the Calcutta session of the Indian National Congress on December 27, 1911. The session was presided over by Bishan Narayan Dhar.
The question explores the economic concept of human resources. When people are unable to contribute productively to the economy, they consume resources without generating output, which can be a burden. We need to identify the term that best describes this economic burden.
Correct Option: A) a liability — If people cannot be used as a resource, meaning they are unable to contribute productively to the economy (e.g., due to unemployment, lack of skills, or health issues), they become a burden. The economy has to support them (e.g., through social welfare, healthcare, education) without receiving productive output in return. This makes them an economic liability.
Kumud borrowed some amount at simple interest of 10% per annum for 1\( \frac{1}{2} \) year. Sneha borrowed the same amount at the same rate on compound interest (compounded semiannually) for the same period. If Sneha paid ₹61 more than Kumud as interest, then how much money did each of them borrow?
₹\( \frac{61}{80} \)
₹\( \frac{1261}{80} \)
₹4,000
₹8,000
We need to calculate the simple interest for Kumud and compound interest for Sneha for the given principal amount, rate, and time. Then, we will use the difference in their interests to find the principal amount.
Let the principal amount be \(P\).
Rate of interest (\(R\)) = 10% per annum.
Time (\(T\)) = \(1 \frac{1}{2}\) years = \(1.5\) years.
The formula for simple interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]\[ \text{SI}_{\text{Kumud}} = \frac{P \times 10 \times 1.5}{100} \]\[ \text{SI}_{\text{Kumud}} = \frac{15P}{100} = \frac{3P}{20} \]The interest is compounded semiannually. This means the rate is halved and the time period is doubled for calculation.
New rate (\(r\)) = \[\frac{R}{2} = \frac{10\%}{2} = 5\%\] per half-year.
Number of compounding periods (\(n\)) = \(T \times 2 = 1.5 \times 2 = 3\) half-years.
The formula for amount (\(A\)) with compound interest is:
\[ A = P \left(1 + \frac{r}{100}\right)^n \]\[ A_{\text{Sneha}} = P \left(1 + \frac{5}{100}\right)^3 \]\[ A_{\text{Sneha}} = P \left(1 + \frac{1}{20}\right)^3 \]\[ A_{\text{Sneha}} = P \left(\frac{21}{20}\right)^3 \]\[ A_{\text{Sneha}} = P \times \frac{9261}{8000} \]\[ \text{CI}_{\text{Sneha}} = A_{\text{Sneha}} - P \]\[ \text{CI}_{\text{Sneha}} = P \left(\frac{9261}{8000}\right) - P \]\[ \text{CI}_{\text{Sneha}} = P \left(\frac{9261 - 8000}{8000}\right) \]\[ \text{CI}_{\text{Sneha}} = \frac{1261P}{8000} \]Sneha paid ₹61 more than Kumud as interest.
\[ \text{CI}_{\text{Sneha}} - \text{SI}_{\text{Kumud}} = 61 \]\[ \frac{1261P}{8000} - \frac{3P}{20} = 61 \]To subtract the fractions, find a common denominator, which is 8000.
\[ \frac{1261P}{8000} - \frac{3P \times 400}{20 \times 400} = 61 \]\[ \frac{1261P}{8000} - \frac{1200P}{8000} = 61 \]\[ \frac{(1261 - 1200)P}{8000} = 61 \]\[ \frac{61P}{8000} = 61 \]\[ P = \frac{61 \times 8000}{61} \]\[ P = 8000 \]Thus, each of them borrowed ₹8,000.
D) ₹8,000 is the correct answer. The calculations show that the principal amount is ₹8,000.
To find the missing number in the series, we need to identify the pattern or rule that generates the sequence of numbers. We will examine the relationship between consecutive terms or the nature of each term individually.
Correct Option: B) 216