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The UP CPET answer key 2025 is an essential tool for candidates to assess their performance and prepare for the next steps in the admission process. By understanding how to download and use the answer key, candidates can gain clarity on their scores and make informed decisions during counseling

The table below provides the number of colleges providing various specializations at the Game Design colleges in India.

Disclaimer: This info. is taken from the official website and may differ.

Students will be selected based on CAT /XAT/GMAT/Other Management Score/Personal Assessment (PA)/Final Composite Scores (FCS). The selection criteria for the PGDM course, i.e., PGDM- Energy Management and PGDM-Executive (self-sponsored). Students can check the detailed selection criteria below:

During an interview, in case a candidate doesn't know the answer, he/she must admit it politely instead of guessing or answering incorrectly. Candidates can answer with "I am not sure, and will look into it" will show willingness to learn and honesty. Interviewers usually don't expect every answer to be correct. The primary parameters to judge a candidate during a PI round includes the attitude and confidence. Trying to bluff while answering a question may leave a bad impression on the panel.

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Let{E}_{1}betheeventofgettingevennumberonthedie.E_{2}betheeventofselectingaspadecard.\\ \therefore P\left(E_1\right)=\frac{3}{6}=\frac{1}{2}andP\left(E_2\right)=\frac{13}{52}=\frac{1}{4}\\ So,P\left(E_1\cap E_2\right)=P\left(E_1\right).P\left(E_2\right)=\frac{1}{2}.\frac{1}{4}=\frac{1}{8}\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}LetGdenotesthegirlandBdenotestheboyofthegivenfamily.\\ So,n\left(S\right)=\left\{\left(BGG\right),\left(GBG\right),\left(GGB\right),\left(GBB\right),\left(BGB\right),\left(BBG\right),\left(BBB\right),\left(GGG\right)\right\}\\ Let{E}_{1}betheeventthatthefamilyhasatleastonegirl\\ \therefore E_1=\left\{\left(BGG\right),\left(GBG\right),\left(GGB\right),\left(GBB\right),\left(BGB\right),\left(BBG\right),\left(GGG\right)\right\}\\ .E_{2}betheeventthattheeldestchildisagirl.\\ \therefore E_2=\left\{\left(GBG\right),\left(GGB\right),\left(GBB\right),\left(GGG\right)\right\}\\ \left(E_1\cap E_2\right)=\left\{\left(GBB\right),\left(GGB\right),\left(GBG\right),\left(GGG\right)\right\}\\ \therefore P\left(E_2/E_1\right)=\frac{P\left(E_1\cap E_2\right)}{P\left(E_1\right)}=\frac{4/8}{7/8}=\frac{4}{7}\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat:P\left(A\right)=0.4,P\left(B\right)=0.3,P\left(C\right)=0.2\\ Also,P\left(\overline{A}\right)=1-0.4=0.6,P\left(\overline{B}\right)=1-0.3=0.7,P\left(\overline{C}\right)=1-0.2=0.8\\ \therefore \text{\hspace{0.17em}Probabilities}oftwohits\\ =P\left(A\right).P\left(B\right).P\left(\overline{C}\right)+P\left(A\right).P\left(\overline{B}\right).P\left(C\right)+P\left(\overline{A}\right).P\left(B\right).P\left(C\right)\\ =0.4\times 0.3\times 0.8+0.4\times 0.7\times 0.2+0.6\times 0.3\times 0.2\\ =0.096+0.056+0.036=0.188\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}AccordingtoQuestion74,\\ Let{E}_{1}beeventthatfirstballisred.\\ E_{2}beeventthatexactlytwoofthethreeballsarered.\\ \therefore P\left(E_1\right)=P\left(R\right).P\left(R\right).P\left(B\right)+P\left(R\right).P\left(R\right).P\left(R\right)+P\left(R\right).P\left(B\right).P\left(R\right)+P\left(R\right).P\left(B\right).P\left(B\right)\\ =\frac{5}{8}.\frac{4}{7}.\frac{3}{6}+\frac{5}{8}.\frac{4}{7}.\frac{3}{6}+\frac{5}{8}.\frac{3}{7}.\frac{4}{6}+\frac{5}{8}.\frac{3}{7}.\frac{2}{6}\\ =\frac{60}{336}+\frac{60}{336}+\frac{60}{336}+\frac{30}{336}=\frac{210}{336}\\ P\left(E_1\cap E_2\right)=P\left(R\right).P\left(B\right).P\left(R\right)+P\left(R\right).P\left(R\right).P\left(B\right)\\ =\frac{5}{8}.\frac{3}{7}.\frac{4}{6}+\frac{5}{8}.\frac{4}{7}.\frac{3}{6}=\frac{60}{336}+\frac{60}{336}=\frac{120}{336}\\ \therefore P\left(E_2/E_1\right)=\frac{P\left(E_1\cap E_2\right)}{P\left(E_1\right)}=\frac{120/336}{210/336}=\frac{4}{7}\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

Securing an admission to Hanyang University for MBA is a competitive affair, but not impossible. International students must fulfill the admission requirements listed below order to boost their chances of pursuing the Hanyang University MBA course:

• Bachelor's degree in a relevant field;
• Academic records;
• English proficiency scores;
• GMAT/GRE score;
• Work experience (not mandatory);
• Recommendations  (LOR); and
• Essay.

Listed below are required courses:

• Principles & Principles & Practices of Management
• Asian Business Field Project
• Korean Business Field Project

Entrance exams for BA Hospitality Management course can either online or offline, based on the specific institute and exam. While, some institutions conduct their own entrance exams, like IIHM with their eCHAT exam, which is online. Other institutions may use national-level or state-level exams like NCHMCT JEE or MAH BHMCT CET, which can be offline. 

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat:Bagcontains5redand3blueballs.\\ ofgettingexactlyoneredballif3ballsarerandomlydrawnwithoutreplacement.\\ P\left(R\right).P\left(B\right).P\left(B\right)+P\left(B\right).P\left(R\right).P\left(B\right)+P\left(B\right).P\left(B\right).P\left(R\right)\\ =\frac{5}{8}.\frac{3}{7}.\frac{2}{6}+\frac{3}{8}.\frac{5}{7}.\frac{2}{6}+\frac{3}{8}.\frac{2}{7}.\frac{5}{6}=\frac{30}{336}+\frac{30}{336}+\frac{30}{336}=\frac{90}{336}=\frac{15}{56}\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

You can download the subject-wise PSEB 10th syllabus by clicking on the link provided here. The official syllabus has been released and uploaded on this page. Students must download it and start preparing for the board exams. The syllabus mentions all the chapters and important topics that are required to be learnt to score well. 

NTPC School of Business offers various courses at the PG level. The selection criteria is entrance based. It also considers other factors such as Personal Assessment (PA)/Final Composite Scores (FCS). To secure a seat at NTPC School of Business, students can check the following steps presented below:

1. Visit the official website and complete the online application process. 
2. Candidates can also apply offline for various courses.
3. Ensure eligibility and selection criteria for all programme.
4. The selection criteria is entrance-based.
5. Upon selected, pay the specified fee to confirm and secure your seat.

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat:EandFaretwoindependenteventssuchthat\\ P\left(E\right)=0.3,andP\left(E\cup F\right)=0.5\\ \therefore P\left(E\cup F\right)=P\left(E\right)+P\left(F\right)-P\left(E\cap F\right)\\ 0.5=0.3+P\left(F\right)-P\left(E\right).P\left(F\right)\\ \Rightarrow 0.5-0.3=P\left(F\right)\left[1-P\left(E\right)\right]\Rightarrow 0.2=P\left(F\right)\left(1-0.3\right)\\ \Rightarrow 0.2=P\left(F\right).\left(0.7\right)\\ \therefore P\left(F\right)=\frac{0.2}{0.7}=\frac{2}{7}\\ NowP\left(E/F\right)-P\left(F/E\right)=\frac{P\left(E\cap F\right)}{P\left(F\right)}.\frac{P\left(E\cap F\right)}{P\left(E\right)}\\ =\frac{P\left(E\right).P\left(F\right)}{P\left(F\right)}.\frac{P\left(E\right).P\left(F\right)}{P\left(E\right)}=P\left(E\right)-P\left(F\right)=\frac{3}{10}-\frac{2}{7}=\frac{1}{70}\\ Hence,thecorrectoptionis\left(c\right).\end{array}$