Ask & Answer: India's Largest Education Community

Chettinad Academy of Research and Education (CARE) offers a full-time BSc programme in various specialisations. The university has specified the eligibility requirements and selection criteria for all these specialisatios. Candidates who fulfil the course-specific eligibility and selection criteria are offered BSc seats at the university. Candidates can follow the steps given below to secure a BSc seat at CARE:

1. Visit the official website of CARE and register for admission.
2. Select your desired course, fill out the application form and submit it with required documents and application fee.
3. Candidates are shortlisted based on the merit obtained in the qualifying exam/ entrance exam.
4. Selected candidates must submit the prescribed BSc fees at CARE for seat confirmation.

QMUL and Nottingham University are some of the most prominent universities in the United Kingdom. Both the universities have their own advantages and disadvantages. Each university offers something unique for its international students to stand out of the herd. QMUL placement rate stands at 93%, and the graduates are employed within 6 months of graduation. This figure states that out of every 100 students, around 93 students secured employment. Nottingham University placement rate is 84%, and the graduates are employed within 6 months of graduation. This indicates that out of 100 students, around 84 students secured employment. In terms of placement rate, the Queen Mary University of London stands taller as compared to Nottingham. Check the comparison listed below between QMUL and Nottingham University:

All international applicants must fulfill the York University MBA admission requirements listed below to secure admission:

• An undergraduate degree from a recognised post-secondary institution with a minimum B average in the last two full years (or equivalent) of academic work;
• Minimum two years of relevant post-degree, full-time work experience or life experience;
• GMAT/GRE score;
• Essays (2 written, 1 timed written,  2 video);
• An up-to-date resume/CV;
• 2 references
• Unofficial copies of transcripts from all previously attended post-secondary institutions;
• Overall Essays8 score of 7.0 / Overall TOEFL score of 100.

Note: Applicants with 3-year degrees may be considered for admission with one year of work experience beyond the required minimum.

Admissions to the Bihar Agricultural University BSc course are based on the merit and entrance exam scores. The accepted entrance exams are ICAR AIEEA,  BCECE, and others. Candidates willing to get admission must take part in the BAU Sabour admission process before the last date of application. Candidates must know their BAU Sabour eligibility criteria and apply accordingly. Follow the Bhagalpur Agriculture College application process mentioned below:

Step 1: Visit the official website of Sabour Agriculture University Bhagalpur.

Step 2: Select the required course.

Step 3: Pay the application fee and fill out the application form.

Step 4: Submit the application form with the required information.

QMUL and University of Birmingham are some of the most prominent universities in the United Kingdom. Queen Mary University of London is located in London, UK. Whereas, University of Birmingham is located in Birmingham, West Midlands, UK. When choosing a university, students must check factors such as location, fee, programs, average salary, and more. QMUL average graduate salary is INR 28.88 L and Birmingham University graduate average salary is INR 37.87 LPA. In comparison of average salary, the University of Birmingham has an upper hand. Check the comparison listed below between QMUL and University of Birmingham. The below comparison will surely help students in gaining more clarity on these universities respectively:

14. For (a – b) to be a factor of aⁿ – b ⁿwe need to show (aⁿ – bⁿ) = (a – b)k as k is a natural number.

We have, for positive n

aⁿ = ${(a-b+b)}^n$ = ${\left[\left(a-b\right)+b\right]}^n$

=>aⁿ = ⁿC₀(a – b)ⁿ + ⁿC₁(a – b)^{n -1}b + ⁿC₂(a – b)^{n – 2}b² + ………… +ⁿC_n-1 $\left(a-b\right) b^{n-1}$ + ⁿC_nbⁿ

=>aⁿ= ${\left(a-b\right)}^n$ + ⁿC₁ ${\left(a-b\right)}^{n-1} b$ + ⁿC₂ ${\left(a-b\right)}^{n-2} b^2$ + …………….…+ ⁿC_n-1 $\left(a-b\right) b^{n-1}$ + $b^n$ [Since, ⁿC₀ = 1 and ⁿC_n = 1]

=> $a^n-b^n$ = ${\left(a-b\right)}^n$ +ⁿC₁ ${\left(a-b\right)}^{n-1} b$ + ⁿC₂ ${\left(a-b\right)}^{n-2} b^2$ + ……………… + ⁿC_n-1 $\left(a-b\right) b^{n-1}$

=> $a^n-b^n$ = $\left(a-b\right)$ [ ${\left(a-b\right)}^{n-1}$ + ⁿC₁${\left(a-b\right)}^{n-2} b$ + ⁿC₂ ${\left(a-b\right)}^{n-3} b^2$ +……….…… + ⁿC_n-1 $b^{n-1}$ ]

=> $a^n-b^n$ = $\left(a-b\right)$ k where k = [ ${\left(a-b\right)}^{n-1}$ + ⁿC₁ ${\left(a-b\right)}^{n-2} b$ + ⁿC₂ ${\left(a-b\right)}^{n-3} b^2$ +……….…… + ⁿC_n-1 $b^{n-1}$ ] is a natural number.

Therefore (a – b) is a factor of aⁿ – bⁿwhere n is positive integer.