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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: How many mathematicians won the Michael Sheila Prize for 2021?
Option 1: Four
Option 2: Two
Option 3: Three
Option 4: One
Correct Answer: Three
Solution : The correct choice is the third option.
As stated in the first paragraph, the prize was won by Nikhil Srivastava, Adam W. Marcus, and Daniel Alan Spielman, which makes this a total of three prize winners.
Therefore, the correct answer is three.
Question : Directions: If I denotes ÷, J denotes ×, K denotes − and L denotes +, then what will come in place of (?) in the following equation? (35 I 5) J 9 K 23 L 39 K (3 J 8) = ?
Option 1: 60
Option 2: 59
Option 3: 51
Option 4: 55
Correct Answer: 55
Solution : Given: I denotes ÷, J denotes ×, K denotes −, and L denotes + (35 I 5) J 9 K 23 L 39 K (3 J 8) = ?
After replacing the letters with the mathematical signs, we get: = (35 ÷ 5) × 9
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Question : Case Study 6: Effective Communication at ABC Enterprises
ABC Enterprises places a strong emphasis on effective communication to achieve its organizational goals. Consider the following scenario to answer the questions.
Question :
How does effective communication contribute to the directing process at ABC Enterprises?
Option 1: Creates conflicts among employees
Option 2: Reduces collaboration and coordination
Option 3: Enhances understanding and coordination
Option 4: Promotes autocratic decision-making
Correct Answer: Enhances understanding and coordination
Solution : The correct answer is (c) Enhancing understanding and coordination.
Effective communication ensures that information is conveyed clearly, accurately, and in a timely manner to employees. This clarity in communication helps employees understand their roles, responsibilities, and organizational goals, which in turn promotes
Question : Fill in the blanks with appropriate prepositions :
The laborious students have to work ........ morning to evening to get into a top university.
Option 1: in
Option 2: to
Option 3: from
Option 4: before
Correct Answer: from
Solution : The correct answer is option 3.
Explanation:
From is used as a preposition of time.
With a preposition of time, we can talk about a specific time period, such as a date on the calendar, a day of the week, or the precise moment that
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