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$a=\left|\frac{4.2-3\left(-1\right)-21}{5}\right|$

$=\left|\frac{8+3-21}{5}\right|=2$

$\therefore L=4a=8$

ISBM Nande faculty is comprised of a talented group individuals in teaching roles. The President of ISBM Mumbai is Dr. Pramod Kumar, and Dr. Veerendra K Rai is the Director at the institute. The core faculty at ISB&M Pune is spread across the campus and provides the PGDM programme in at least 6 distinct specializations.

Yes, Padmashri Dr. Vithalrao Vikhe Patil College of Engineering (PDVVCOE)  has released its placement report for 2025. The data tabulated below presents the placement statistics recorded in 2025:

Students seeking to reach ISBM Pune can arrive at the Pune International Airport, and take a roughly 1 hour 10 minute drive to reach the campus of ISBM Pune. Candidates can also take the railway route and reach the Pune Junction Railway Station and take a 1 hour drive to reach the ISBM Nande campus. The institute is centrally located and is easily accessible via different modes of transportation.

$k=A.e^{-\left(\frac{Ea}{RT}\right)}$

$\mathcal{l}nk=\mathcal{l}nA-\frac{Ea}{RT}$

$\Rightarrow \mathcal{l}nk=\mathcal{l}nA+\left(-\frac{Ea}{1000R}\right).\frac{1000}{T}$

Slope = $\frac{-Ea}{1000R}=-18.5$  

=> Ea = 18.5 × 1000 × 8.31 = 153.735 × 10³ J = 154 KJ

 Padmashri Dr. Vithalrao Vikhe Patil College of Engineering (PDVVCOE) provides impressive placements to all the students. The table below presents the 2025 placement highlights:

International School of Business and Media offers the flagship PGDM course to students in 6 diverse specializations. At the time of admission, the candidate is required to pay INR 1,10,000 as the 1st instalment. The 2nd, 3rd, 4th, 5th instalments required to be paid are in equal instalments of INR 2,77,500 over the semesters.

Scholarships amounts at Mahatma Jyoti Rao Phoole University are decided using the Class 12 board exam results secured by the student. The Mahatma Jyoti Rao Phoole University has set 3 different levels of scholarships for different group of percentages which are described in the table below:

Padmashri Dr. Vithalrao Vikhe Patil College of Engineering (PDVVCOE) has released its branchwise the highest package. Check the table below to know more:

The admissions basis at ISBM Pune is based on a combination of factors for the PGDM program. Students can check out the detailed admissions criteria tabulated below:

CH₄, O₃ & H₂O are green-house gases.

 Various companies took part in the placement season at Padmashri Dr. Vithalrao Vikhe Patil College of Engineering (PDVVCOE), Some of them are:

Padmashri Dr. Vithalrao Vikhe Patil College of Engineering (PDVVCOE) average package has not been released yet. Once out, it will be updated here. Meanwhile, check the highest package present in the table below:

Over 800 recruiters took part in the Krupanidhi College of Management placements 2025. Check out the table for reference:

Anode, H₂ (g) -> 2H⁺ + 2e^-

Cathode, Cu²⁺ + 2e -> Cu (s)

Net cell reaction H₂ + Cu²⁺ -> 2H⁺ Cu (s)

$E_{cell}^0=E_{C{u}^{2+}/Cu}^0-E_{H^{+}/H_2}^0$

= 0.34 V – 0

= 0.34 V

$E_{cell}=E_{cell}^0-\frac{0.06}{2}log\frac{{\left[H^{+}\right]}^2}{\left[C{u}^{2+}\right]}$

$\begin{array}{l}\Rightarrow 0.576=0.34-\frac{0.06}{2}log\frac{{\left[H^{+}\right]}^2}{0.01}\\ \Rightarrow -log\left[H^{+}\right]=4.93\\ \Rightarrow pHofsolution=4.93~5\end{array}$

The admission statistics for Rice University over the years are given below as follows:

ISBM Nande offers the flagship Post Graduate Diploma in Management (PGDM) course to students. The PGDM programme is certified by the AICTE and is equivalent to the modern-day MBA course. Students can choose from the 6 diverse specializations from the PGDM program. The admissions to the course are conducted on the basis of various entrance exams like MAT, XAT, CAT, CMAT, ATMA, among others.

$\overrightarrow{a}=\alpha \widehat{i}+2\widehat{j}-\widehat{k}\&\overrightarrow{b}=-2\widehat{i}+\alpha \widehat{j}+\widehat{k}$

$\left|\overrightarrow{a}\times \overrightarrow{b}\right|=\sqrt[]{15\left(a^2+4\right)}$

$2{\left|\overrightarrow{a}\right|}^2+\left(\overrightarrow{a}.\overrightarrow{b}\right){\left|\overrightarrow{b}\right|}^2=?$

$\overrightarrow{a}.\overrightarrow{b}=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|cos\theta$

$cos\theta =\frac{-1}{\left(a^2+5\right)}$ $\therefore \left|sin\theta \right|=\frac{\sqrt[]{{\left(a^2+5\right)}^2-1}}{\left(a^2+5\right)}$

$\left|\overrightarrow{a}\times \overrightarrow{b}\right|=\left|\stackrel{?}{a}\right|\times \left|\overrightarrow{b}\right|\times \left|sin\theta \right|$

$=\left(a^5+5\right)\times \frac{\sqrt[]{{\left(a^2+5\right)}^2-1}}{\left(a^2+5\right)}=\sqrt[]{15\left(a^2+4\right)}$

${\left(a^2+5\right)}^2-1=15\left(a^2+4\right)$

$\Rightarrow \left(\alpha =\pm 3\right)$

$2{\left|\overrightarrow{a}\right|}^2+\left(\overrightarrow{a}.\overrightarrow{b}\right){\left|\overrightarrow{b}\right|}^2$

= $2\left(a^2+5\right)-\left(a^2+5\right)$

$\left(a^2+5\right)=14$

ISBM, Pune accepts CAT, XAT, GMAT, MAT, CMAT, MH CET entrance exam scores.