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For the BSc programme at Risali Institute of Management, admission is based entirely on Class 12 merit. There is no entrance exam involved. Eligible candidates who meet the minimum academic qualifications will be shortlisted based on their Class 12 scores and document verification for provisional admission.

To apply for the BSc programme at Risali Institute of Management, candidates must visit risaliindia.com, click on 'Apply Now', select their preferred specialisation and campus, fill in personal and academic details, upload documents, pay the application fee, and submit the form online. The application process is fully digital for 2025 admissions.

The KL Business School has been providing good placements to students since the very beginning. For more information on placement packages and recruiters for the KL Business School placements 2022-2024, refer to the table below:

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Given,\underset{x\to 0}{lim}\frac{tan2x-x}{3x-sinx}\\ =\underset{x\to 0}{lim}\frac{x\left[\frac{tan2x}{x}-1\right]}{x\left[3-\frac{sinx}{x}\right]}=\underset{\begin{array}{l}x\to 0\\ \therefore 2x\to 0\end{array}}{lim}\frac{\frac{tan2x}{2x}\times 2-1}{3-\frac{sinx}{x}}\\ =\frac{1.2-1}{3-1}=\frac{2-1}{2}=\frac{1}{2}\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

Yes, there is an Indian student organisation at NC State University called as MAITRI. This is the official Indian Graduate Student Association of the university. It hosts many events throughout the year such as Diwali and Holi. It also conducts casual events frequently such as Welcome parties for incoming students, Mehfil nights, Meet n Greets, Board game nights, and more. It also provides all-round support for all incoming Indian graduate students.

Yes, F1 students at North Carolina State University can work part-time, considerably the working hours not exceeding 20 hours per week. This on-campus employment can be full-time (more than 20 hours) during the summer (conditions apply). The top 10 part-time jobs in USA for international students are:

• Tour Guide
• Teaching Assistant
• Campus Tech Support
• Barista
• Production Assistant

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Given,f\left(x\right)=\{\begin{array}{cc}\hfill x^2-1,\hfill & \hfill 0<x<2\hfill \\ \hfill 2x+3,\hfill & \hfill 2\le x<3\hfill \end{array}\\ \underset{x\to 2^{-}}{lim}f\left(x\right)=\underset{x\to 2^{-}}{lim}\left(x^2-1\right)=\underset{h\to 0}{lim}\left[{\left(2-h\right)}^2-1\right]=\underset{h\to 0}{lim}\left(4+h^2-4h-1\right)\\ =\underset{h\to 0}{lim}\left(h^2-4h+3\right)=3\\ and\underset{x\to 2^{+}}{lim}f\left(x\right)=\underset{x\to 2^{+}}{lim}\left(2x+3\right)=\underset{h\to 0}{lim}\left[2\left(2+h\right)+3\right]=7\\ Therefore,thequadraticequationwhoserootsare3and7is\\ x^2-\left(3+7\right)x+3\times 7=0i.e.,x^2-10x+21=0.\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

The applicants who have showcased academic excellence and leadership potential may be considered for NCSU Jenkins MBA Scholarship. The award amounts may vary and are usually offered before the starting of the students' first semester in the MBA course. The requirements for this scholarship are:

• Full-time MBA
• Exceptional academic qualifications
• Should maintain a GPA of 3.0 in the MBA programme while receiving the scholarship

International Undergraduate applicants of NC State University can apply via Common App or Coalition. The applicants who want to take admission to the Graduate courses can apply via the direct application link. An application fee has to be submitted too. So, for international UG students, the application fee is USD 100 (Around INR 8,600). On the other hand, for international PG applicants, the application fee is USD 85 (Around INR 7,300). A few of the documents required to apply are:

• Academic transcripts
• Proof of financial ability
• PTE / TOEFL / IELTS score
• Any standardized test scores

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Given,\underset{x\to 0}{lim}\frac{\left|sinx\right|}{x}\\ LHL=\underset{x\to 0^{-}}{lim}\frac{-sinx}{x}=-1\left[?\underset{x\to 0}{lim}\frac{sinx}{x}=1\right]\\ RHL=\underset{x\to 0^{+}}{lim}\frac{sinx}{x}=1\\ LHL\ne RHL\\ So,the\text{\hspace{0.17em}limit}doesnotexist.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

The highest package at SKET has been decreasing year after year. Check the table below to know more about the highest packages recorded in the recent years:

Total time (T) = 4 sec

Given u = 0 m/sec

a = g = 9.8 m/sec²

h = 4.9 m, t =?

$\Rightarrow h=ut+\frac{1}{2}a{t}^2$                

$4.9=0.t+\frac{1}{2}\times 9.8t^2$                

t = 1 sec

‘v’ be the velocity with which ball hits the water v = u + at

= 0 + 9.8 × 1 = 9.8 m/sec

Time taken to reach the bottom of the lake from surface of the lake

= 4 – 1 = 3 sec

v = 9.8 m/sec

$H=ut+\frac{1}{2}g{t}^2=9.8\times 3+\frac{1}{2}\times 9.8\times 9$                

29.4 + 4.9 × 9 = 29.4 + 44.1

H = 73.5 m

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Given,f\left(x\right)=\{\begin{array}{cc}\hfill \frac{sin\left[x\right]}{\left[x\right]},\hfill & \hfill if \left[x\right]\ne 0,\hfill \\ \hfill 0,\hfill & \hfill \left[x\right]=0\hfill \end{array}\\ LHL=\underset{x\to 0^{-}}{lim}\frac{sin\left[x\right]}{\left[x\right]}=\underset{h\to 0}{lim}\frac{sin\left[0-h\right]}{\left[0-h\right]}=\underset{h\to 0}{lim}\frac{-sin\left[-h\right]}{\left[-h\right]}=-1\\ RHL=\underset{x\to 0^{+}}{lim}\frac{sin\left[x\right]}{\left[x\right]}=\underset{h\to 0}{lim}\frac{sin\left[0+h\right]}{\left[0+h\right]}=\underset{h\to 0}{lim}\frac{sin\left[h\right]}{\left[h\right]}=-1\\ LHL\ne RHL\\ So,the\text{\hspace{0.17em}limit}doesnotexist.\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

The placement package recorded during SKCET placements is provided in the table below:

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat\underset{x\to 1}{lim}\frac{\left(\sqrt[]{x}-1\right)\left(2x-3\right)}{2x^2+x-3}\\ =\underset{x\to 1}{lim}\frac{\left(\sqrt[]{x}-1\right)\left(2x-3\right)}{2x^2+3x-2x-3}=\underset{x\to 1}{lim}\frac{\left(\sqrt[]{x}-1\right)\left(2x-3\right)}{x\left(2x+3\right)-1\left(2x+3\right)}\\ =\underset{x\to 1}{lim}\frac{\left(\sqrt[]{x}-1\right)\left(2x-3\right)}{\left(2x+3\right)\left(x-1\right)}=\underset{x\to 1}{lim}\frac{\left(\sqrt[]{x}-1\right)\left(\sqrt[]{x}+1\right)\left(2x-3\right)}{\left(2x+3\right)\left(x-1\right)\left(\sqrt[]{x}+1\right)}\\ =\underset{x\to 1}{lim}\frac{\left(x-1\right)\left(2x-3\right)}{\left(x-1\right)\left(\sqrt[]{x}+1\right)\left(2x+3\right)}=\underset{x\to 1}{lim}\frac{2x-3}{\left(\sqrt[]{x}+1\right)\left(2x+3\right)}\\ Taking\text{\hspace{0.17em}limits}wehave\\ =\frac{2\left(1\right)-3}{\left(\sqrt[]{1}+1\right)\left(2\times 1+3\right)}=\frac{-1}{2\times 5}=\frac{-1}{10}\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

Top universities in USA acceptance rates for the class of 2027 intake are as follows:

• Harvard University Acceptance Rate: 3.4%
• Cornell University Acceptance Rate: 3.6%
• Yale University Acceptance Rate: 4.5%
• Brown University Acceptance Rate: 5%
• Princeton University Acceptance Rate: 5.8%
• Dartmouth College Acceptance Rate: 6%
• Cornell University Acceptance Rate: 7.3%

Yes, SKCET placement report for 2025 has been released. Check out the table below to know more about the placement highlights given below:

So far, the placement rate for SKCET stood at 90.9%. Check the table below to know more about the placement rate recorded at SKCET: