The question asks to identify the country that officially recognized yoga as a sporting activity in 2018. This requires knowledge of recent international news and developments related to sports and cultural practices.
Correct Option: D) Saudi Arabia
This question asks us to identify implicit assumptions in a given statement. An assumption is something taken for granted or accepted as true without proof. When someone makes a statement or expresses an intention, certain underlying beliefs or conditions must be true for that statement/intention to be logical and feasible.
Correct Option: C) Both I and II are implicit.
Both assumptions are necessary for X's statement to be logical and actionable. X intends to use a survey to measure effectiveness, implying surveys are suitable for this. X intends to conduct it, implying X has the capability.
This is a syllogism problem. We need to analyze the given statements and determine which conclusions logically follow. We can use Venn diagrams or the rules of syllogism to solve this.
C) Both conclusions 1 and 2 follow.
The question asks for the estimated growth of the Indian labour force by 2020. This type of question requires knowledge of specific economic projections or reports related to India's demographic and employment trends. The answer is based on data and forecasts from economic surveys or official reports.
Correct Option: D) 160-170 million. This figure aligns with the projections made by various economic bodies and government reports regarding the growth of India's labour force by the year 2020, driven by its demographic dividend.
To solve this problem, we need to find the smallest 4-digit perfect square number. Once we find this number, we can subtract the current volume of oil from it to determine how much more oil needs to be added.
C) 166 litres is the correct answer because adding 166 litres to 858 litres results in 1024 litres, which is the smallest 4-digit perfect square number.
The question asks about a specific chess tournament in Riyadh in 2017 where Viswanathan Anand won a championship title. To answer this, one needs to recall significant achievements of Viswanathan Anand, particularly around the specified year and location.
Correct Option: B) World Rapid Chess Championship
Viswanathan Anand won the World Rapid Chess Championship in Riyadh, Saudi Arabia, in December 2017. This was a significant victory as he was considered an underdog at the time.
The question asks to identify the individual appointed as the private banking head of HDFC Bank as of 2018. This is a factual question related to appointments in the banking sector, which is a common topic in competitive exams for current affairs or general knowledge.
C) Rakesh Singh was appointed as the private banking head of HDFC Bank in 2018. He was responsible for leading and expanding the bank's private banking business, catering to high-net-worth individuals.
The question asks to identify the lead actor in the Hindi biographical film 'Sanju'. This requires knowledge of popular Indian cinema and the cast of specific films.
Correct Option: A) Ranbir Kapoor was the lead actor who portrayed Sanjay Dutt in the movie 'Sanju'.
To calculate the total cost of polishing the floor, we first need to find the total area of the floor in square meters. This involves calculating the area of a single tile, multiplying it by the number of tiles, and then converting the total area from square centimeters to square meters. Finally, we multiply the total area in square meters by the given rate of polishing per square meter.
Calculate the area of one tile:
Given length of one tile \( = 3 \text{ cm}\)
Given width of one tile \( = 5 \text{ cm}\)
\[ \text{Area of one tile} = \text{Length} \times \text{Width} \]\[ \text{Area of one tile} = 3 \text{ cm} \times 5 \text{ cm} = 15 \text{ cm}^2 \]Calculate the total area of the floor:
Number of tiles \( = 2,800\)
\[ \text{Total area of floor} = \text{Area of one tile} \times \text{Number of tiles} \]\[ \text{Total area of floor} = 15 \text{ cm}^2 \times 2,800 = 42,000 \text{ cm}^2 \]Convert the total area from square centimeters to square meters:
We know that \(1 \text{ m} = 100 \text{ cm}\), so \(1 \text{ m}^2 = (100 \text{ cm})^2 = 10,000 \text{ cm}^2\).
\[ \text{Total area in m}^2 = \frac{\text{Total area in cm}^2}{10,000} \]\[ \text{Total area in m}^2 = \frac{42,000 \text{ cm}^2}{10,000 \text{ cm}^2/\text{m}^2} = 4.2 \text{ m}^2 \]Calculate the total cost of polishing:
Rate of polishing \( = \text{Rs } 25 \text{ per m}^2\)
\[ \text{Total cost} = \text{Total area in m}^2 \times \text{Rate per m}^2 \]\[ \text{Total cost} = 4.2 \text{ m}^2 \times \text{Rs } 25/\text{m}^2 = \text{Rs } 105 \]D) The total cost of polishing the floor is Rs. 105, which matches our calculation.
Which of the following is the smallest fraction number?
\( \frac{1}{8} \), \( \frac{2}{12} \), \( \frac{3}{16} \), \( \frac{4}{20} \)
\( \frac{4}{20} \)
\( \frac{3}{16} \)
\( \frac{1}{8} \)
\( \frac{2}{12} \)
To find the smallest fraction among a given set, we can convert all fractions to decimals or find a common denominator. Converting to decimals is often simpler for comparison.
Now we have the decimal equivalents:
Comparing these values, \( 0.125 \) is the smallest number.
The smallest decimal value \( 0.125 \) corresponds to the fraction \( \frac{1}{8} \).
C) \( \frac{1}{8} \) is the smallest fraction number because its decimal equivalent \( 0.125 \) is the smallest among all the given options.