Mathematics
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the Kerala School of Mathematics (KSoM) does not have its own hostel facility. However, students attending programs or courses at KSoM may have the option to find accommodation in nearby areas or private hostels. One can take in rent nearby places on rent but no kerala school of mathematics
Question : Which of the following was a major opposition party during the era of one-party dominance in India?
Option 1: Bharatiya Jana Sangh
Option 2: Aam Aadmi Party
Option 3: All India Trinamool Congres
Option 4: Telugu Desam Party
Correct Answer: Bharatiya Jana Sangh
Solution : The Bharatiya Jana Sangh was a major opposition party during the era of one-party dominance in India, challenging the dominance of the Indian National Congress.
Question : Comprehension: Read the given passage and answer the questions that follow. Plato is the earliest important educational thinker, and education is an essential element in 'The Republic' (his most important work on philosophy and political theory, written around 360 B.C.). In it, he advocates some rather extreme methods: removing children from their mothers' care and raising them as wards of the state, and differentiating children suitable to the various castes, the highest receiving the most education, so that they could act as guardians of the city and care for the less able. He believed that education should be holistic, including facts, skills, physical discipline, music, and art. Plato believed that talent and intelligence are not distributed genetically and thus can be found in children born to all classes, although his proposed system of selective public education for an educated minority of the population does not really follow a democratic model.
Aristotle considered human nature, habit, and reason to be equally important forces to be cultivated in education, the ultimate aim of which should be to produce good and virtuous citizens. He proposed that teachers lead their students systematically, and that repetition be used as a key tool to develop good habits, unlike Socrates' emphasis on questioning his listeners to bring out their own ideas. He emphasized the balancing of the theoretical and practical aspects of subjects taught, among which he explicitly mentions reading, writing, mathematics, music, physical education, literature, history, and a wide range of sciences, as well as play, which he also considered important.
Question: Which of these statements is NOT true?
Option 1: Socrates encouraged the listeners to come up with original ideas.
Option 2: The Republic was written around 360 A.D.
Option 3: Socrates considered music and physical education as important aspects of learning.
Option 4: Plato's methods of education can be called 'extreme'.
Correct Answer: The Republic was written around 360 A.D.
Solution : The second option is the correct choice.
The statement the Republic was written around 360 A.D. is not true.
Explanation: The Republic, Plato's most important work on philosophy and political theory, was written around 360 B.C., not 360 A.D.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
The world is undergoing rapid changes in the knowledge landscape. With various dramatic scientific and technological advances, such as the rise of big data, machine learning, and artificial intelligence, many unskilled jobs worldwide may be taken over by machines, while the need for a skilled workforce, particularly involving mathematics, computer science, and data science, in conjunction with multidisciplinary abilities across the sciences, social sciences, and humanities, (1)________ increasingly in greater demand. With climate change, increasing pollution, and depleting natural resources, there will be a sizeable shift in how we (2)_______ the world's energy, water, food, and sanitation needs, again resulting in the need for new skilled labour, particularly in biology, chemistry, physics, agriculture, climate science, and social science. The growing (3)________ of epidemics and pandemics will also (4)_______ collaborative research in infectious disease management and development of vaccines, and the resultant social issues heighten the need for multidisciplinary learning. There will be a growing (5)__________ for humanities and art as India moves towards becoming a developed country as well as among the three largest economies in the world.
Question:
Select the most appropriate option to fill in the blank number 5.
Option 1: command
Option 2: extort
Option 3: demand
Option 4: claim
Correct Answer: demand
Solution : The third option is the correct choice.
The context of the sentence discusses growing something for humanities and art. Demand fits well in this context, indicating an increasing need or desire for the humanities and art.
The meanings of the other options are as follows:
Here’s a list of some of the top arts and science colleges in Tamil Nadu that offer BSc (Hons) Mathematics. The information includes approximate annual fees and available seats where available.
1.Loyola College, Chennai
- Annual Fee: 20,000 - 30,000
- Seats Available: Approximately 60
2. St. Joseph's College, Trichy
Select the most appropriate option to fill in the blank number 1.
Option 1: is
Option 2: are
Option 3: will be
Option 4: should be
Correct Answer: will be
The sentence discusses the future demand for a skilled workforce, particularly in fields like mathematics, computer science, and data science. The phrase, in conjunction with multidisciplinary abilities, suggests that these skills will be increasingly in demand in
Question :
Correct the following sentence if it is incorrect
He broached about the issue of the poor and the ones who were exploited by the cunning moneylenders.
Option 1: He broached on the issue of the poor and the ones who was
Option 2:
He broached on the issue of the poor and the ones who were
Option 3:
He broached the issue of the poor and the ones who were
Option 4:
He broached at the issue of the poor and the ones who were
Option 5:
He broached about the issue of the poor and the ones who were
Correct Answer:
Solution :
Broach does not need any preposition. Hence, ‘he broached the issue’ is the best choice.
Read the following passage and answer the questions that follow.
Indian mathematician Nikhil Srivastava, working at the University of California in Berkeley, is among the winners of the Prestigious 2021 Michael and Sheila Held Prize, announced last week by the US National Academy of Sciences (NAS). Adam W. Marcus, EPFL (Swiss Federal Institute of Technology, Lausanne), and Daniel Alan Spielman, Yale University, are the other two winners.
"Marcus, Spielman, and Srivastava solved longstanding questions on the Kadison-Singer problem and on Ramanujan graphs, and in the process, they uncovered a deep new connection between linear algebra, the geometry of polynomials, and graph theory that has inspired the next generation of theoretical computer scientists," the NAS said in a statement.
An Indian national, Nikhil was born in New Delhi in November 1983 and has attended educational institutions across the world—Syria, the UK, Saudi Arabia, and the US—as his father was an Indian Foreign Services officer, who has served as the Indian ambassador to Uganda and Denmark. At present, Nikhil is an associate professor of mathematics at UC Berkeley. The Michael and Sheila Held Prize is presented annually to honour outstanding, innovative, creative, and influential research in the area of combinatorial mathematics.
Question: What is the connection between the prize winners and the famous Indian mathematical genius Ramanujan?
Option 1: They explained Ramanujan's graphs in solving the Kadison-Singer problem.
Option 2: The prize winners were all admirers of Ramanujan's great contribution.
Option 3: The prize winners were all students of Ramanujan.
Option 4: They solved questions on Ramanujan's graphs that had not been solved for a long time.
Correct Answer: They solved questions on Ramanujan's graphs that had not been solved for a long time.
Solution : The correct choice is the fourth option.
As stated in the second paragraph of the passage, the prize winners, Marcus, Spielman, and Srivastava, solved longstanding questions on the Kadison-Singer problem
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at line MN as shown.
Option 1:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the
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