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 3.

Option 1: wane

Option 2: dissolution

Option 3: emergence

Option 4: need

Question : Comprehension:

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:
The Michael and Sheila Held Prize is presented:

Option 1: every two years to honour the best researchers in mathematics

Option 2: twice every year to honour young and influential researchers in mathematics

Option 3: every year to honour new thinking and research in a specific area of mathematics

Option 4: every year to honour those who solve longstanding problems in graph theory and linear algebra

Question : APC<1,

Option 1: Before break-even point.

Option 2: At break-even point

Option 3: After break-even point

Option 4: All of the above.

Question : Classification of 100 students based on the marks obtained by them in Mathematics and Physics in an examination is given below.

How many students have got marks less than 10 in Mathematics?

Option 1: 8

Option 2: 19

Option 3: 12

Option 4: 20

Question : A pipe can fill a tank in 30 hours. Due to a leakage at the bottom, it is filled in 50 hours. How much time will the leakage take to empty the filled tank?

Option 1: 60 hours

Option 2: 85 hours

Option 3: 70 hours

Option 4: 75 hours

Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).

He will come instantaneously.

(1) just now

(2) presently

(3) instantly

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Which of the following is an example of human capital measurement?

Option 1: Gross Domestic Product (GDP)

Option 2: Consumer Price Index (CPI)

Option 3: Human Development Index (HDI)

Option 4: Producer Price Index (PPI)