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Question : A train, 200 metres long, is running at a speed of 54 km/h. The time in seconds that will be taken by the train to cross a 175 metres long bridge is:

Option 1: 12.5

Option 2: 20

Option 3: 25

Option 4: 10

Team Careers360 25th Jan, 2024

Correct Answer: 25


Solution : Given: Length of train = 200 m and length of bridge = 175 m.
Its speed is 54 km/h.
To convert km/h into m/s, multiply with $\frac{5}{18}$, we get
$54 \times\frac{5}{18}=15$ m/s
We know that $\text{time}=\frac{\text{Distance}}{\text{Speed}}=\frac{200+175}{15} = \frac{375}{15}=$ 25 seconds
Hence, the correct answer is

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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:
In what way have the prize winners helped future theoretical computer scientists?

Option 1: They have found connections between algebra, geometry and computer science.

Option 2: They solved new problems in graph theory used in theoretical computer science.

Option 3: The new connection they have discovered has inspired future theoretical computer scientists.

Option 4: They have done innovative research on Ramanujan graphs and geometry of polynomials.

Team Careers360 18th Jan, 2024

Correct Answer: The new connection they have discovered has inspired future theoretical computer scientists.


Solution : The correct choice is the third option.

As stated in the second paragraph, the NAS said they uncovered a deep new connection between linear algebra, the geometry of polynomials, and graph theory that

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I want to join as law professor

shivamtrivedi0005 5th Oct, 2023

Hello aspirant,

One of the most satisfying occupations in terms of career challenge and financial rewards is teaching law. Law is suited for anyone who is interested in learning about the country's legal systems and is looking for challenging and intriguing job prospects. It is available to students from all

394 Views

what will be the salary for freshers after doing LLM but without clearing UGC NET for assisstant professor ?

Tanya Gupta 21st Aug, 2022

Hello,


The salary for a fresher after doing LLM withiut clearing UGC NET may vary from one role to the other. Below is salary for LLM graduates with different roles:

Assistant Professor: 2.8 Lakhs per annum

Advocates - Rs. 2.4 Lakhs to 8 Lakhs per annum

Solicitor - Rs. 1

742 Views

how is cuet ug score calculated?

raj kumar 18th Aug, 2022

Dear aspirant !

Hope you are doing well !

The question paper of CUET consists of Language, Domain-specific subjects and General test. The total marks weightage of the exam is 700 for Slot 1 and 400 for Slot 2. NTA will be following the normalization process to determine the percentile

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rank to get seat in professor jayashankar Hyderabad

mkahampa 28th Aug, 2022

Dear Aspirant,


For taking admission into PJTSAU one should appear for either ts eamcet or icar ug aieea. I have listed below the previous year (2021) cutoff for various courses under pjtsau.

  • B.V.Sc. & A.H. - NF (920), F(1461)
  • B.Sc.(Hons.) Agriculture - NF(3533), F(6007)
  • B.Sc.(Hons.) Community Science - NF(37557), F(48304)
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