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Yes, Dr DY Patil Institute of Technology offers an M.Tech programme at the PG-level in a full-time mode. The two-year programme is divided into four semesters. Additionally, the university provides M.Tech in multiple specialisations. For more details, candidates can refer to the following key highlights:

Note: The above-mentioned fee is as per the official website. It is still subject to change and, hence, is indicative.

This is a  Fill in the Blanks type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}LetI={\displaystyle \underset{-\pi }{\overset{\pi }{\int }}si{n}^{3}x.co{s}^{2}x}dx\\ Letf\left(x\right)=si{n}^{3}x.co{s}^{2}x\\ f\left(-x\right)=si{n}^3\left(-x\right).co{s}^2\left(-x\right)=-si{n}^{3}x.co{s}^{2}x=-f\left(x\right)\\ \therefore {\displaystyle \underset{-\pi }{\overset{\pi }{\int }}si{n}^{3}x.co{s}^{2}x}dxisanoddfunction.\\ \therefore I=0\end{array}$

For BBA admission at the School of Business Management  (NIU), candidates must keep track of entrance exam dates like NSAT & CUET. These exams play a key role in the selection process. Staying updated on their registration, exam, and result dates can help students plan better and improve their chances of securing admission.

Yes, admission to the BBA programme at School of Business Management is currently open for the 2025 academic year. Students interested in applying should visit the official website to complete the application process and stay informed about important updates.

To get admission to the M.Tech programme at DY Patil Institute of Technology, candidates must ensure that they meet the course-specific eligibility criteria. The selection of the candidates is based on the scores obtained in the accepted entrnace exam. Those who are seeking admission to the M.Tech programme must pay the applicable fee along with the required documents to complete the verification.

This is a  Fill in the Blanks type Questions as classified in NCERT Exemplar

The GIET Engineering College (GGU) BTech seats are allocated as per the norms set by the college.  The total number of seats available to students for admission are around 870. It is important for the students to satisfy the eligibility criteria to get admission. The information about the seats is taken from official website, and is subject to revision.

This is a  Fill in the Blanks type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}LetI={\displaystyle \underset{0}{\overset{a}{\int }}\frac{1}{1+4x^2}}dx=\frac{\pi }{8}\\ \Rightarrow \frac{1}{4}{\displaystyle \underset{0}{\overset{a}{\int }}\frac{1}{\left(\frac{1}{4}+x^2\right)}}dx=\frac{\pi }{8}\Rightarrow {\displaystyle \underset{0}{\overset{a}{\int }}\frac{1}{\left[{\left(\frac{1}{2}\right)}^2+x^2\right]}}dx=\frac{\pi }{2}\\ \Rightarrow \frac{1}{1/2}{\left[ta{n}^{-1}\frac{x}{1/2}\right]}_0^a=\frac{\pi }{2}\Rightarrow 2\left[ta{n}^{-1}2a-ta{n}^{-1}0\right]=\frac{\pi }{2}\\ \Rightarrow ta{n}^{-1}2a=\frac{\pi }{4}\Rightarrow 2a=tan\frac{\pi }{4}\Rightarrow 2a=1\Rightarrow a=\frac{1}{2}\\ Hence,thevalueofa=\frac{1}{2}.\end{array}$

No, students cannot get direct admission to Kochi Business School. The admission process is based on the national-level entrance exams. Students must secure a valid score in CAT, MAT, CMAT, or KMAT. Interested students can apply online on the official website. Additionally, students must clear the personal interview and group discussion rounds to get shortlisted. 

Maulana Azad National Urdu University offers UG, PG, diploma, and certificate courses across various streams such as Science, Engineering, Management, Commerce, and others. The university offers admission based on merit and entrance exams. The university accepts CUET, NCET, and others. MANUU Hyderabad conducts its entrance exams such as MANUU ET (Maulana Azad National Urdu University Entrance Exam).

This is a  Fill in the Blanks type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}LetI={\displaystyle \int \frac{x+3}{{\left(x+4\right)}^2}.e^x dx}\\ ={\displaystyle \int \frac{x+4-1}{{\left(x+4\right)}^2}.e^x dx}\\ ={\displaystyle \int \left[\frac{x+4}{{\left(x+4\right)}^2}-\frac{1}{{\left(x+4\right)}^2}\right].e^x dx}={\displaystyle \int \left[\frac{1}{x+4}-\frac{1}{{\left(x+4\right)}^2}\right].e^x dx}\\ Put\frac{1}{x+4}=t\Rightarrow -\frac{1}{{\left(x+4\right)}^2}dx=dt\\ Letf\left(x\right)=\frac{1}{x+4}\therefore f^{\text{'}}\left(x\right)=-\frac{1}{{\left(x+4\right)}^2}\\ Using{\displaystyle \int e^x\left[f\left(x\right)+f^{\text{'}}\left(x\right)\right]dx=}{e}^{x}f\left(x\right)+C\\ \therefore I=e^x.\frac{1}{x+4}+C\\ Hence,I=\frac{e^x}{x+4}+C.\end{array}$

WWI MECAT is an MCQ-based test with questions on logical reasoning, general awareness, and media-related aptitude. Duration is typically 60 minutes.

This is a  Fill in the Blanks type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}LetI={\displaystyle \underset{0}{\overset{\frac{\pi }{2}}{\int }}cosx.e^{sinx}}dx\\ Putsinx=t\Rightarrow cosxdx=dt\\ Whenx=0thent=sin0=0Whenx=\frac{\pi }{2}thent=sin\frac{\pi }{2}=1\\ \therefore I={\displaystyle \underset{0}{\overset{1}{\int }}{e}^{t}dt}={\left[e^t\right]}_0^1=\left(e^1-e^0\right)=e-1\\ Hence,I=e-1\end{array}$

Among the accepted entance exams for admission into the BTech programme is Andhra Pradesh EAMCET. The final round cutoff list has been released, and the GIET Engineering College Andhra Pradesh EAMCET cutoff 2024 has concluded. The cutoff was finalised after a few rounds for different categories of students belonging to the Home State quota. Last round closing ranks were 36649, 41704, and 58673, respectively.

Considering the Dr Harisingh Gour Vishwavidhayala JEE Main cutoff 2025 for the Round 2 seat allotment, a JEE Main rank ranged between 62345 and 98021 for the General AI category candidates. Likewise, for the candidates belonging to the OBC AI quota, a cutoff ranged between 22271 and 34186 has been ranged in the Round 2 seat allotment results. Among both the categories, the most demanded courses was BTech in Computer Science and Engineering.

ITM Institute of Hotel Management, Navi Mumbai provides good placements to its graduating students and it is totally worth it. Check out the table below to know the key highlights of the ITM Institute of Hotel Management, Navi Mumbai placements for 2025:

4.30. Kindly go through the solution

The WWI entrance exam usually includes:

• MECAT (Media & Entertainment Common Aptitude Test)

• CAT (Creative Ability Test)

• SOP (Statement of Purpose)

• Personal Interview, and sometimes a Group Discussion or Performance Test (depending on the program).

This is a Objective answer type Questions as classified in NCERT Exemplar

The BBA programme at ITM Institute of Hotel Management, Navi Mumbai is considered a good choice for a career. Check out the table below to know about the at overall ITM Institute of Hotel Management, Navi Mumbai placement during 2025: