The question asks to identify the largest producer of rice globally for the year 2019-20, according to USDA data. This requires knowledge of global agricultural statistics, specifically rice production by country.
Correct Option: A) China
The question asks for the coach of the Indian men's football team as of December 2020. This requires knowledge of sports current affairs and coaching appointments in Indian football.
Correct Option: B) Igor Stimac
What is the missing term in the given series?
5, 5, \(\frac{15}{4},\ \frac{5}{2},\ \frac{25}{16},\ \ldots,\ \frac{35}{64},\ \frac{5}{16}\)
\( \frac{77}{45} \)
\( \frac{15}{11} \)
\( \frac{15}{16} \)
\( \frac{15}{28} \)
To find the Highest Common Factor (HCF) of two numbers, we can use the prime factorization method or the listing factors method. The HCF is the largest number that divides both given numbers without leaving a remainder.
Factors of 36 are numbers that divide 36 exactly. These are:
\[ 1, 2, 3, 4, 6, 9, 12, 18, 36 \]Factors of 48 are numbers that divide 48 exactly. These are:
\[ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 \]The numbers that appear in both lists are the common factors:
\[ 1, 2, 3, 4, 6, 12 \]From the common factors, the largest one is the HCF. In this case, the largest common factor is 12.
Common prime factors are 2 and 3.
Both methods yield the same result.
Correct Option: B) 12 is the highest common factor of 36 and 48.
The problem asks us to identify the odd one out from a given set of four numbers. This typically involves finding a common property or pattern shared by three of the numbers, while the fourth number does not follow that pattern. We will examine the properties of each number, such as divisibility, prime factorization, or specific number sequences, to find the underlying rule.
Correct Option: B) 105 is the odd one out because it is the product of three distinct prime numbers (\(3 \times 5 \times 7\)), whereas the other numbers are products of exactly two distinct prime numbers.
The question asks to identify the specific oval spot in the human eye that is responsible for the best vision. This requires knowledge of the anatomy and function of the human eye, particularly the retina.
Correct Option: B) yellow — The yellow spot, also known as the macula lutea, is an oval-shaped pigmented area near the center of the retina of the human eye. It is responsible for sharp, detailed central vision (also called foveal vision) and color vision, making it the area of best vision.
The question asks to identify the component "India" in the given email address "India@solu.edu". Understanding the standard format of an email address is key to answering this question.
Correct Option: A) User name
In the email address format username@domainname, "India" is the username.
The question asks to identify the first Indian Institute of Technology (IIT) to be established. This is a factual question related to the history of higher education in India.
Correct Option: D) IIT, Kharagpur
The problem provides the ratio of speeds of two trains and the distance and time for the second train. We need to find the speed of the first train. We will first calculate the speed of the second train using the given distance and time. Then, using the ratio of speeds, we can find the speed of the first train.
The formula for speed is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]Given that the second train runs 400 km in 4 h, its speed is:
\[ \text{Speed of second train} = \frac{400\ \text{km}}{4\ \text{h}} = 100\ \text{km/h} \]The ratio between the speeds of the two trains is given as 7 : 5. Let the speed of the first train be \(S_1\) and the speed of the second train be \(S_2\).
\[ \frac{S_1}{S_2} = \frac{7}{5} \]We know \(S_2 = 100\ \text{km/h}\). Substitute this value into the ratio:
\[ \frac{S_1}{100\ \text{km/h}} = \frac{7}{5} \]Now, solve for \(S_1\):
\[ S_1 = \frac{7}{5} \times 100\ \text{km/h} \]\[ S_1 = 7 \times 20\ \text{km/h} \]\[ S_1 = 140\ \text{km/h} \]A) 140 km/h is the calculated speed of the first train.
The question asks to identify the first Indian state to implement the 'National Policy on Biofuels' approved by the Government of India in May 2018. This requires knowledge of specific policy implementation timelines by Indian states.
A) Rajasthan was the first state in India to implement the National Policy on Biofuels, launching its state-specific policy in December 2018.