The question asks for the meaning of "dental caries." This is a common term in biology and health, referring to a specific condition affecting teeth. We need to identify the correct definition among the given options.
Correct Option: B) Tooth decay
The value of \(\sqrt{142884}\) is:
To find the square root of 142884, we can use either the prime factorization method or the long division method. A quicker approach for competitive exams is to look at the last digit of the number and the range of the square root, and then verify with the given options.
Correct Option: D) 378
The question asks to identify the Chief of Naval Staff (CNS) of India as of December 2020. This requires knowledge of the leadership positions in the Indian Armed Forces during that specific period.
Correct Option: D) Admiral Karambir Singh was the Chief of Naval Staff of India from May 31, 2019, to November 30, 2021. Thus, he held the position in December 2020.
The question asks about the primary application of electrostatic precipitators. To answer this, we need to understand what electrostatic precipitators are and what they are designed to control.
Correct Option: C) air pollution
Electrostatic precipitators are highly effective devices used to remove particulate matter (like dust, smoke, and fly ash) from industrial exhaust gases. By doing so, they significantly reduce the emission of these pollutants into the atmosphere, thus controlling air pollution.
The question asks about the appointment of the Defence Minister of India in May 2019. This requires knowledge of the Union Cabinet formed after the 2019 General Elections.
B) Rajnath Singh was appointed as the Defence Minister of India in May 2019, as part of the new cabinet formed after the 2019 general elections.
The question asks to identify the term for organisms that can produce their own food from simple substances. This relates to fundamental concepts of nutrition in biology.
Correct Option: B) autotrophs
The question asks to classify raw materials and money in hand for production. This requires understanding different types of capital in economics and their specific characteristics.
Correct Option: C) working capital
Working capital refers to the funds required for the day-to-day operations of a business. This includes current assets like raw materials, work-in-progress, finished goods, and cash. Raw materials are consumed during the production process, and money in hand is used to facilitate immediate transactions and purchases, making them classic examples of working capital.
The question asks for the term that defines a set of norms and guidelines followed by political parties and candidates during election time. We need to identify the correct political science term from the given options.
Correct Option: A) code of conduct — This term precisely describes a set of norms and guidelines that political parties and candidates are expected to follow during elections to ensure fair campaigning and voting processes. In India, the Model Code of Conduct is issued by the Election Commission of India.
Select the number that can replace the question mark (?) in the following equation.
\(47^{7.5}\div47^{\frac{3}{2}}\times47^{-3}=(\sqrt{47})^{\,?}\)?
The problem requires us to find the value of the unknown exponent in an equation involving powers with the same base. We will use the laws of exponents to simplify both sides of the equation and then equate the exponents.
First, let's write down the given equation:
\[ 47^{7.5} \div 47^{\frac{3}{2}} \times 47^{-3} = (\sqrt{47})^{?} \]Convert all fractional and decimal exponents to a common fractional form. Note that \(7.5 = \frac{15}{2}\) and \(\sqrt{47} = 47^{\frac{1}{2}}\).
\[ 47^{\frac{15}{2}} \div 47^{\frac{3}{2}} \times 47^{-3} = (47^{\frac{1}{2}})^{?} \]Apply the laws of exponents on the left-hand side (LHS):
So, the LHS becomes:
\[ 47^{\frac{15}{2} - \frac{3}{2} + (-3)} \]\[ 47^{\frac{15-3}{2} - 3} \]\[ 47^{\frac{12}{2} - 3} \]\[ 47^{6 - 3} \]\[ 47^3 \]Apply the law of exponents on the right-hand side (RHS):
Let the unknown exponent be \(x\). So, the RHS becomes:
\[ (47^{\frac{1}{2}})^x = 47^{\frac{1}{2} \times x} = 47^{\frac{x}{2}} \]Now, equate the simplified LHS and RHS:
\[ 47^3 = 47^{\frac{x}{2}} \]Since the bases are equal, the exponents must be equal:
\[ 3 = \frac{x}{2} \]Solve for \(x\):
\[ x = 3 \times 2 \]\[ x = 6 \]A) 6 is the correct answer. The value that replaces the question mark is 6.
The question asks to identify the period associated with the 'Golden Revolution' in India. This revolution is a significant event in India's agricultural history, specifically related to horticulture. Knowing the correct timeline is crucial for competitive exams.
Correct Option: B) 1991-2003 is the correct period for the Golden Revolution in India. This era marked a substantial increase in the production and productivity of horticulture, honey, and floriculture, leading to economic growth in these sectors.