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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:
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.

Team Careers360 23rd Jan, 2024

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

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Question : Directions: Identify the diagram that best represents the relationship among the classes given.
Whales, Fishes, Crocodiles

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : Whales, fishes, and crocodiles are all different types of animals found in water bodies. They all are inherently different based on their size, eating habits, and the type of water body in which they live, so all three circles will be separate from each other.

The

123 Views

Question : Select the most appropriate option that can substitute the underlined words in the following sentence.

The people who live here have had the same kind of lifestyle until hundreds of years.

Option 1: through hundreds of year

Option 2: for hundreds of years

Option 3: although hundreds of years

Option 4: since hundreds of year

Team Careers360 23rd Jan, 2024

Correct Answer: for hundreds of years


Solution : The correct choice is the second option.

This option correctly indicates the duration of time that the people have had the same lifestyle for hundreds of years denotes the length of time over which the lifestyle has remained unchanged.

The correct sentence

9 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB as shown.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on Line AB). So, the left side of the reflected image will appear

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Question : At how much percent above the cost price should a trader mark his goods so that after allowing a discount of 25%, he still gains 5%?

Option 1: 35

Option 2: 32

Option 3: 50

Option 4: 40

Team Careers360 24th Jan, 2024

Correct Answer: 40


Solution : Let the cost price be Rs. $100$.
So, the selling price is $100 + 5$ = Rs. $105$
Discount is $25$%.
Let, the marked price be $x$.
So, the selling price after the discount is $\frac{75}{100}×x=\frac{3x}{4}$
According to the question,
$\frac{3x}{4} = 105$
$\therefore x

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