The question asks about the maximum strength of the Council of Ministers in the Union government. This is a constitutional provision, specifically amended to limit the size of the Council of Ministers to ensure efficiency and prevent an excessively large government.
B) Fifteen percent of the total number of members of the House of People. This is the correct constitutional limit as per the 91st Constitutional Amendment Act, 2003 (Article 75(1A)). For example, if the Lok Sabha has 543 members, the maximum number of ministers would be \(0.15 \times 543 \approx 81\).
The question asks for the location of India's first railway university. This is a factual question related to general knowledge about Indian institutions.
India's first railway university is the National Rail and Transportation Institute (NRTI). It was inaugurated in 2018. The institute is located in Vadodara, Gujarat.
B) Vadodara, Gujarat is the correct answer. The National Rail and Transportation Institute (NRTI), India's first university focused on railway and transportation education, is located in Vadodara, Gujarat.
The problem asks us to identify the next number in a given series: \(1, 9, 25, 49, \_\_\_\_\_\). We need to find the pattern in the sequence of numbers.
Therefore, the next number in the series is \(81\).
B) 81 — This is the correct number as it follows the pattern of squares of consecutive odd numbers (\(1^2, 3^2, 5^2, 7^2, 9^2\)).
The question asks about the primary objective of the Khilafat Movement in India. To answer this, one needs to recall the historical context and the main demands of this movement.
A) It was a movement in support of the Turkish Sultan. The Khilafat Movement was launched by Indian Muslims to protest against the harsh terms imposed on the Ottoman Empire by the Treaty of Sèvres after World War I. The Ottoman Sultan was regarded as the Caliph, the spiritual head of Muslims worldwide, and Indian Muslims sought to protect his position and the integrity of the Ottoman Caliphate.
The question asks about the sector associated with the Bharatmala Pariyojana. This requires knowledge of major government infrastructure projects in India.
D) Highways — The Bharatmala Pariyojana is a flagship highway development program of the Government of India. Its objective is to improve the efficiency of road traffic movement across the country by bridging critical infrastructure gaps. This includes the development of economic corridors, inter-corridors, feeder routes, national corridors efficiency improvements, border and international connectivity roads, coastal and port connectivity roads, and greenfield expressways.
The question asks to identify the person who coined the term "Artificial Intelligence". This is a factual recall question related to the history of computer science and AI.
Correct Option: C) John McCarthy
This question tests understanding of logical deduction, specifically the relationship between a universal affirmative statement and its converse. We need to determine if the given conclusion logically follows from the statement.
B) True. The conclusion "Some very hardworking persons are farmers" is a direct and valid inference from the statement "All farmers are very hardworking." If every single farmer is hardworking, then it necessarily means that among the group of hardworking people, there are some who are farmers.
This problem involves relative speeds and time calculations. We are given the distance, the relationship between the speeds of the train and the bus, and the stoppage time for the train. Since both vehicles start and reach at the same time, the effective travel time for both is the same. We can set up equations based on the formula \(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\).
Let the speed of the bus be \(S_B\) km/h.
The train is travelling 50% faster than the bus. So, the speed of the train \(S_T\) is:
\[ S_T = S_B + 0.50 S_B = 1.5 S_B \]The distance from Karnal to Panipat is 75 km.
The time taken by the bus to travel 75 km is:
\[ T_B = \frac{75}{S_B} \text{ hours} \]The time taken by the train to travel 75 km (if it didn't stop) is:
\[ T_{\text{train_travel}} = \frac{75}{S_T} = \frac{75}{1.5 S_B} \text{ hours} \]The train stopped for 12.5 minutes. Convert this to hours:
\[ \text{Stoppage time} = 12.5 \text{ minutes} = \frac{12.5}{60} \text{ hours} = \frac{125}{600} \text{ hours} = \frac{5}{24} \text{ hours} \]Both the train and the bus start at the same time and reach at the same time. This means the total time elapsed for both is the same. For the train, this total time includes its travel time and its stoppage time.
\[ T_B = T_{\text{train_travel}} + \text{Stoppage time} \]Substitute the expressions for time into the equation:
\[ \frac{75}{S_B} = \frac{75}{1.5 S_B} + \frac{5}{24} \]Simplify the equation:
\[ \frac{75}{S_B} = \frac{50}{S_B} + \frac{5}{24} \]Rearrange to solve for \(S_B\):
\[ \frac{75}{S_B} - \frac{50}{S_B} = \frac{5}{24} \] \[ \frac{25}{S_B} = \frac{5}{24} \]Cross-multiply to find \(S_B\):
\[ 5 S_B = 25 \times 24 \] \[ S_B = \frac{25 \times 24}{5} \] \[ S_B = 5 \times 24 \] \[ S_B = 120 \text{ km/h} \]Correct Option: B) 120 km/h
The question asks to identify an inter-governmental, treaty-based organization that has its headquarters in India. This requires knowledge of the headquarters locations of prominent international organizations.
B) ISA — The International Solar Alliance (ISA) is an inter-governmental organization of 121 member countries, initiated by India. Its headquarters are located in Gurugram, Haryana, India. It was conceived as a joint effort by India and France to mobilize efforts against climate change through the deployment of solar energy solutions.
The question asks to identify the nearest spiral galaxy to our Milky Way galaxy. This requires knowledge of prominent galaxies in our Local Group and their classifications.
Correct Option: B) Andromeda galaxy is the nearest spiral galaxy to the Milky Way. It is on a collision course with the Milky Way, expected to merge in about \(4.5\) billion years.