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Yes, ICFAI University Mizoram offers a BCom program. Under this program, students get to choose from two specialisations. Tabulated below are the key highlights of this program:

Note: The above information is taken from official sources. However, it is subject to change.

The Indira Group of Institutes, Pune has not released the placement rate for season 2025 as of yet. For more information on overall the Indira Group of Institutes, Pune placements 2023-25, refer to the table below:

This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l}{\displaystyle \sum _{}^{}{x}_i}=1+2+3+4+\dots +n=\frac{n\left(n+1\right)}{2}\\ {\displaystyle \sum _{}^{}{x}_i^2}=1^2+2^2+3^2+4^2+\dots +n^2=\frac{n\left(n+1\right)\left(2n+1\right)}{6}\\ \therefore S.D.\left(\sigma \right)=\sqrt[]{\frac{{\displaystyle \sum _{}^{}{x}_i^2}}{n}-{\left(\frac{{\displaystyle \sum _{}^{}{x}_i}}{n}\right)}^2}\\ =\sqrt[]{\frac{n\left(n+1\right)\left(2n+1\right)}{6n}-\frac{n^2{\left(n+1\right)}^2}{4n^2}}\\ =\sqrt[]{\frac{\left(n+1\right)\left(2n+1\right)}{6}-\frac{{\left(n+1\right)}^2}{4}}\\ =\sqrt[]{\frac{2n^2+3n+1}{6}-\frac{n^2+2n+1}{4}}\\ =\sqrt[]{\frac{4n^2+6n+2-3n^2-6n-3}{12}}=\sqrt[]{\frac{n^2-1}{12}}\\ Hence,therequiredSD=\sqrt[]{\frac{n^2-1}{12}}.\end{array}$

The eligibility criteria for BCA course at Mangalmay Institute of Management and Technology requires candidates to have atleast a 605 aggregate in Class 12 from any recognised board. BCA course is offered for a duration of three years. Candidates must fulfil the mentioned eligibility criteria to apply for admission in the course at MIMT.

Oxford University is known for offering best academic programs at undergraduate, graduate, and doctorate levels for international students. The University offers more than 350 programs in full-time, part-time, and online programs for its international students. Some best programs at Oxford University are listed below:

• Psychology
• Material Technology
• Russian & Easter European Language
• Biomedical Sciences
• Computer Science
• Business & Management Studies
• Geography and Environmental Science
• Politics
• Anthropology
• Chemistry
• Modern Language

Indira Group of Institutes have been providing good placements to its graduates since the very beginning. For more information on the Indira Group of Institutes, Pune placements 2023-2025, refer to the table below:

This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l}Firstnnaturalnumbersare1,2,3,4,5,6,\dots ,n.Here,niseven.\\ \therefore Mean\overline{x}=\frac{1+2+3+4+\dots +n}{n}=\frac{n\left(n+1\right)}{2n}=\frac{n+1}{2}\\ \therefore MD=\frac{1}{n}\left[\begin{array}{l}\left|1-\frac{n+1}{2}\right|+\left|2-\frac{n+1}{2}\right|+\left|3-\frac{n+1}{2}\right|+\dots +\left|\frac{n-2}{2}-\frac{n+1}{2}\right|+\left|\frac{n}{2}-\frac{n+1}{2}\right|+\\ \left|\frac{n+2}{2}-\frac{n+1}{2}\right|+\dots +\left|n-\frac{n+1}{2}\right|\end{array}\right]\\ =\frac{1}{n}\left[\left|\frac{1-n}{2}\right|+\left|\frac{3-n}{2}\right|+\left|\frac{5-n}{2}\right|+\dots +\left|\frac{-3}{2}\right|+\left|-\frac{1}{2}\right|+\left|\frac{1}{2}\right|+\dots +\left|\frac{n-1}{2}\right|\right]\\ =\frac{1}{n}\left[\frac{1}{2}+\frac{3}{2}+\dots +\frac{n-1}{2}\right]\left(\frac{n}{2}\right)terms\\ =\frac{1}{n}{\left(\frac{n}{2}\right)}^2=\frac{1}{n}.\frac{n^2}{4}=\frac{n}{4}\left[?Sumoffirstoddnnaturalnumbers=n^2\right]\\ Hence,therequiredMD=\frac{n}{4}.\end{array}$

Pravin Rohidas Patil College of Engineering and Technology selection criteria are both merit-based and entrance-based. The college admits students based on the MH-CET score. Candidates seeking admission to the BTech programme at PRPCET are Class 12 passed with a 45% aggregate with Physics and Mathematics as compulsory subjects (40% in case of backwards class categories, economically weaker section, and persons with disability candidates belonging to Maharashtra state only).

To apply for the BTech course at PRPCET, candidates need to follow the Centralised Admission Process (CAP) as per the Directorate of Technical Education (DTE) guidelines. Applicants must submit their online application forms along with necessary documents through the designated Facilitation Centre. The process involves online registration, document verification, merit list display, and online option form filling for seat allotment in participating institutes.

$\mathrm{t}\mathrm{a}\mathrm{n}?\theta =\frac{10}{\mathrm{x}}=\frac{\mathrm{h}}{{\mathrm{x}}_2}\Rightarrow {\mathrm{x}}_2=\frac{\mathrm{h}\mathrm{x}}{10}$

$\mathrm{t}\mathrm{a}\mathrm{n}??=\frac{15}{\mathrm{x}}=\frac{\mathrm{h}}{\mathrm{x}}\Rightarrow {\mathrm{x}}_1=\frac{\mathrm{h}\mathrm{x}}{15}$

Now,  $x_1+x_2=x=\frac{hx}{15}+\frac{hx}{10}$

$\Rightarrow 1=\frac{\mathrm{h}}{10}+\frac{\mathrm{h}}{15}\Rightarrow \mathrm{h}=6$

NIFT Bhopal MFM cutoff 2025 for Round 1 was 263 among the General category students under the AII India quota. The cutoff ranks vary for different rounds and categories. The institute accepts the NIFT 2025 entrance exam scores, followed by a counselling process for MFM admission. Refer to the table below to view the NIFT Round 1 cutoff trends for MFM admission for 2025, 2024, and 2023. 

Yes, it is worth pursuing BTech at Pravin Patil College of Diploma Engineering and Technology as it is affiliated to the University of Mumbai and has been recognised by the DTE, Maharashtra State. The college offers a BTech programme to students as its flagship course for a duration of 4 years. Further, the PRPCET courses are mainly offered to students in the Engineering stream, across several specialisations such as Civil Engineering, Information Technology,  Computer Engineering, Electrical Engineering,  Mechanical Engineering, etc.

$(a+\sqrt[]{2}b\mathrm{c}\mathrm{o}\mathrm{s}?x)(a-\sqrt[]{2}b\mathrm{c}\mathrm{o}\mathrm{s}?y)=a^2-b^2$

$\Rightarrow a^2-\sqrt[]{2}ab\mathrm{c}\mathrm{o}\mathrm{s}?y+\sqrt[]{2}ab\mathrm{c}\mathrm{o}\mathrm{s}?x-2b^2\mathrm{c}\mathrm{o}\mathrm{s}?x\mathrm{c}\mathrm{o}\mathrm{s}?y=a^2-b^2$

Differentiating both sides:

$0-\sqrt[]{2}ab\left(-\mathrm{s}\mathrm{i}\mathrm{n}?y\frac{dy}{dx}\right)+\sqrt[]{2}ab(-\mathrm{s}\mathrm{i}\mathrm{n}?x)-2b^2\left[\mathrm{c}\mathrm{o}\mathrm{s}?x\left(-\mathrm{s}\mathrm{i}\mathrm{n}?y\frac{dy}{dx}\right)+\mathrm{c}\mathrm{o}\mathrm{s}?y(-\mathrm{s}\mathrm{i}\mathrm{n}?x)\right]=0$

At $\left(\frac{\pi }{4},\frac{\pi }{4}\right)$ :

$\begin{array}{rr}& ab\frac{dy}{dx}-ab-2b^2\left(-\frac{1}{2}\frac{dy}{dx}-\frac{1}{2}\right)=0\\ & \Rightarrow \frac{dx}{dy}=\frac{ab+b^2}{ab-b^2}=\frac{a+b}{a-b};a,b>0\end{array}$

This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l}Firstnnaturalnumbersare1,2,3,\dots ,n.Here,nisodd.\\ \therefore Mean\overline{x}=\frac{1+2+3+\dots +n}{n}=\frac{\frac{n\left(n+1\right)}{2}}{n}=\frac{n+1}{2}\\ Thedeviationsofnumbersfrommean\left(\frac{n+1}{2}\right)are\\ 1-\frac{n+1}{2},2-\frac{n+1}{2},3-\frac{n+1}{2},\dots ,n-\frac{n+1}{2}\\ i.e.,-\frac{n-1}{2},-\frac{n-3}{2},\dots ,-2,-1,0,1,2,\dots ,\frac{n-1}{2}.\\ Theabsolutevaluesofdeviationfromthemeani.e.,\left|x_i-\overline{x}\right|are\\ \frac{n-1}{2},\frac{n-3}{2},\dots ,2,1,0,1,2,\dots ,\frac{n-1}{2}.\\ Thesumofabsolutevaluesofdeviationfromthemeani.e.,\left|x_i-\overline{x}\right|are\\ =2\left(1+2+3+\dots to\frac{n-1}{2}terms\right)\\ =2.\frac{\frac{n-1}{2}\left(\frac{n-1}{2}+1\right)}{2}=\frac{n-1}{2}.\frac{n+1}{2}=\frac{n^2-1}{4}.\\ \therefore Meandeviationaboutthemean=\frac{{\displaystyle \sum _{}^{}\left|x_i-\overline{x}\right|}}{n}=\frac{\frac{n^2-1}{4}}{n}=\frac{n^2-1}{4n}.\end{array}$

The duration of Sault College PG Certificate Health Care Leadership course is 2 years (4 semesters). This course is preferable for those whose education is in Healthcare and the person has the experience of working in Health care field. For the academic year 2025-26, Sault College tuition fees is around CAD 16,202 (Around INR 16 lakh).  

Indian School of Business Management and Administration, Chennai, offers sought-after courses in the UG, PG, Diploma, Certificate, Doctorate, Professional, and other domains. Students can enrol on programmes such as MBA, Executive MBA, BCA, BBA, MMS, PhD, among others. These courses are offered by the Indian School of Business Management and Administration in a variety of specialisations.

An application fee has to be paid by international students while studying. Sault College application fee is CAD 150 for international students (Around INR 9,400). As an Indian student, one can follow the steps given below to submit the application: 

• First of all, contact an International Regional Manager (based on your region)
• Then, explore the programs from the list
• Next, learn about the admission requirements, country, course as well as English-language requirements
• Then, apply as per the programme of your choice. Also, submit, an application fee

Pravin Rohidas Patil College of Engineering and Technology, also known as PRPCET, is a private college and is located in Thane, Maharashtra. It was started by the trust named Shree Shankar Narayan Education Trust (SNET) in the academic year 2023-2024. It has also been approved by the AICTE and recognised by the DTE.