The question asks to identify the cities that form the Golden Quadrilateral. The Golden Quadrilateral is a network of national highways connecting India's four major metropolitan cities. Knowing these four cities is key to answering the question.
D) Delhi-Mumbai-Chennai-Kolkata
This option correctly lists the four metropolitan cities that are connected by the Golden Quadrilateral highway network. These cities represent the northern, western, southern, and eastern corners of the quadrilateral, respectively.
The question asks for the location in India where the most complete fossil of a rare marine reptile, Ichthyosaur, was discovered in 2016. This is a factual question related to paleontology and geography, often covered in general knowledge or environmental science sections of competitive exams.
Correct Option: B) The most complete fossil of a rare marine reptile Ichthyosaur was found in 2016 in the Kutch region of Gujarat. This discovery was significant as it was the first time such a complete fossil of an Ichthyosaur, dating back to the Mesozoic Era (around 150 million years ago), was found in India. The fossil was discovered by a team of Indo-German researchers.
The question asks about the primary function of alveoli in the human body. To answer this, recall the structure and function of the respiratory system, specifically the role of the lungs and their microscopic components.
Correct Option: B) To provide a surface where exchange of gases takes place
This problem involves work and time. We need to calculate the individual work rates of X and Y, determine the amount of work done by X alone, and then find the remaining work to be completed by both X and Y together. Finally, sum up the days to find the total duration of the task.
Calculate individual work rates:
X can complete the task in 28 days. So, X's one day's work is:
\[ \text{X's 1 day's work} = \frac{1}{28} \text{ of the task} \]Y can complete the task in 20 days. So, Y's one day's work is:
\[ \text{Y's 1 day's work} = \frac{1}{20} \text{ of the task} \]Calculate work done by X alone:
X started the task alone and worked for 4 days. Work done by X in 4 days is:
\[ \text{Work done by X in 4 days} = 4 \times \frac{1}{28} = \frac{4}{28} = \frac{1}{7} \text{ of the task} \]Calculate remaining work:
The total work is 1 (or 100%). Remaining work after X worked for 4 days is:
\[ \text{Remaining work} = 1 - \frac{1}{7} = \frac{7-1}{7} = \frac{6}{7} \text{ of the task} \]Calculate combined work rate of X and Y:
After 4 days, Y joined X. Their combined one day's work is:
\[ \text{Combined 1 day's work (X+Y)} = \frac{1}{28} + \frac{1}{20} \]To add these fractions, find a common denominator, which is the LCM of 28 and 20. LCM(28, 20) = 140.
\[ \text{Combined 1 day's work (X+Y)} = \frac{5}{140} + \frac{7}{140} = \frac{5+7}{140} = \frac{12}{140} = \frac{3}{35} \text{ of the task} \]Calculate time taken by X and Y together to complete the remaining work:
Let \(t\) be the number of days X and Y worked together to complete the remaining \(\frac{6}{7}\) of the task.
\[ t \times \frac{3}{35} = \frac{6}{7} \]Solve for \(t\):
\[ t = \frac{6}{7} \times \frac{35}{3} \]\[ t = \frac{6 \times 35}{7 \times 3} = \frac{210}{21} = 10 \text{ days} \]
Calculate the total duration of the task:
Total duration = Days X worked alone + Days X and Y worked together
\[ \text{Total duration} = 4 \text{ days} + 10 \text{ days} = 14 \text{ days} \]D) 14 days is the correct answer, as calculated above.
The question asks to identify the strait that separates Morocco and Spain. This is a geography-based question requiring knowledge of major straits and their locations.
B) Strait of Gibraltar — The Strait of Gibraltar is a narrow strait that connects the Atlantic Ocean to the Mediterranean Sea and separates Gibraltar and Peninsular Spain in Europe from Morocco and Ceuta in Africa. It is the correct answer.
The question asks about the primary modes of transport for India's foreign trade. To answer this, one needs to consider the geographical location of India, the nature of goods traded, and the cost-effectiveness and capacity of different transportation modes for international trade.
Correct Option: B) Through sea and air routes
We are given the amounts after 2 years and 4 years on compound interest. We can use the compound interest formula to set up two equations and then divide them to find the interest rate. The key idea is that the amount after 4 years is obtained by compounding the amount after 2 years for an additional 2 years at the same rate.
According to the problem, after 2 years, the amount is ₹6,400. So, we have:
\[ 6400 = P \left(1 + \frac{r}{100}\right)^2 \quad \text{(Equation 1)} \]After 4 years, the amount is ₹8,100. So, we have:
\[ 8100 = P \left(1 + \frac{r}{100}\right)^4 \quad \text{(Equation 2)} \]Divide Equation 2 by Equation 1:
\[ \frac{8100}{6400} = \frac{P \left(1 + \frac{r}{100}\right)^4}{P \left(1 + \frac{r}{100}\right)^2} \]Simplify the equation:
\[ \frac{81}{64} = \left(1 + \frac{r}{100}\right)^{4-2} \] \[ \frac{81}{64} = \left(1 + \frac{r}{100}\right)^2 \]Take the square root of both sides:
\[ \sqrt{\frac{81}{64}} = 1 + \frac{r}{100} \] \[ \frac{9}{8} = 1 + \frac{r}{100} \]Solve for \(r\):
\[ \frac{r}{100} = \frac{9}{8} - 1 \] \[ \frac{r}{100} = \frac{9-8}{8} \] \[ \frac{r}{100} = \frac{1}{8} \] \[ r = \frac{100}{8} \] \[ r = 12.5 \]C) 12.5% is the correct rate of compound interest calculated from the given amounts and time periods.
The question asks to identify the Indian writer known for the novels 'Untouchable' and 'Coolie'. This requires knowledge of prominent Indian authors and their famous works.
B) Mulk Raj Anand is the correct answer. He is celebrated for his realistic and poignant novels, 'Untouchable' and 'Coolie', which are seminal works in Indian English literature highlighting social injustices.
We need to determine the third tallest person among five friends (X, Y, Z, U, V) based on the given height comparisons. We will establish a height order for all individuals and then identify the third tallest.
Therefore, U is the third tallest.
A) U is the third tallest person according to the derived height order.
The question asks to identify the founder of the Mizo National Front (MNF). This requires knowledge of Indian political history, specifically related to the North-Eastern states.
Correct Option: C) Laldenga was the founder of the Mizo National Front (MNF). He played a pivotal role in the Mizo nationalist movement and later became the first Chief Minister of Mizoram after the signing of the Mizo Accord.