Ask & Answer: India's Largest Education Community

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Weknowthat\\ E\left(X^2\right)={\displaystyle \sum _{i=1}^n{P}_i}{X}_i^2\\ =1\times \frac{1}{10}+4\times \frac{1}{5}+9\times \frac{3}{10}+16\times \frac{2}{5}\\ =\frac{1}{10}+\frac{4}{5}+\frac{27}{10}+\frac{32}{5}=\frac{28}{10}+\frac{36}{5}=\frac{100}{10}=10\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}WeknowthatE\left(X\right)={\displaystyle \sum _{i=1}^n{X}_i{P}_i}\\ =\left(-4\right)\left(0.1\right)+\left(-3\right)\left(0.2\right)+\left(-2\right)\left(0.3\right)+\left(-1\right)\left(0.2\right)+0\left(0.2\right)\\ =-0.4-0.6-0.6-0.2=-1.8\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Weknowthat{\displaystyle \sum _{i=1}^{n}P}\left(X_i\right)=1\\ \therefore \frac{5}{k}+\frac{7}{k}+\frac{9}{k}+\frac{11}{k}=1\\ \frac{32}{k}=1\Rightarrow k=32.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

The topics covered in the Reading section of the ACT exam are:

1. Key ideas and details (44-52%)
2. Craft and structure (26-33%)
3. Integration of knowledge and ideas (19-26%)
4. Field test, embedded (25%)

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:$\begin{array}{l}\end{array}$

PW Institute of Innovation, Pune has various clubs through which students can participate in various clubs and work on their skills. The below-mentioned are PW Institute of Innovation, Pune clubs: 

• Tech Club
• Business Club
• Sports Club
• Enterprenurship Development Club
• Cultural Club
• Creators Club
• Social Responsibility Club

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Here,n=10,p=\frac{1}{2},q=1-\frac{1}{2}=\frac{1}{2}\left(fortrue/falsequestions\right)\\ andr\ge 8i.e.,8,9,10\\ \therefore P\left(X\ge 8\right)=P\left(x=8\right)+P\left(x=9\right)+P\left(x=10\right)\\ ={}_{10}{C}_8{\left(\frac{1}{2}\right)}^8{\left(\frac{1}{2}\right)}^2+{}_{10}{C}_9{\left(\frac{1}{2}\right)}^9\left(\frac{1}{2}\right)+{}_{10}{C}_{10}{\left(\frac{1}{2}\right)}^{10}{\left(\frac{1}{2}\right)}^0\\ =45.{\left(\frac{1}{2}\right)}^{10}+10.{\left(\frac{1}{2}\right)}^{10}+{\left(\frac{1}{2}\right)}^{10}={\left(\frac{1}{2}\right)}^{10}\left(45+10+1\right)\\ =56\times \frac{1}{1024}=\frac{7}{128}\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

Yes, Shri Guru Ram Rai University offers a BA programme for students to pursue. In this course, students get to choose from various specialisations, including English, Journalism & Mass Communication, Hindi, and more. Tabulated below are the key highlights of this programme:

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

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}ProbabilityofgettingQueen=\frac{4}{52}\\ So,therequiredprobability=P\left(Queen\right).P\left(Queen\right)\\ \text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}\text{?}=\frac{4}{52}.\frac{4}{52}=\frac{1}{13}.\frac{1}{13}\left(withreplacement\right)\\ Hence,thecorrectoptionis\left(a\right).\end{array}$

More than 500 students have been placed in the placement drive for 2025. Check out the table for more information:

PW Institute of Innovation, Pune has state-of-the-art infratsrcture which is equipped with all the necessary amenities. The institute includes a study room, library, smart classrooms, gym, Wi-Fi, outdoor turf, indoor games, a cafeteria, and others. The institute has a hostel with all the necessary facilities such as dual and triple sharing rooms, mess, transport, music, and others.

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}WeknowthatforaBinomialdistribution,theoutcomesmustnotbedependentoneachother.\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

More than 150 recruiters took part in the placement drive held in 2025. Refer to the table for more clarity:

PW Institute of Innovation, Pune appoints well-trained and expert faculty members and focuses on quality education under the guidance of experts. The faculty engages the students with the latest activities and innovative teaching, and quality research. PW Institute of Innovation, Pune faculty focuses on therotical and practical knowledge of the students under the guidance of experts. 

English section of ACT exam comprises MCQ based on some essays and paragraphs. Here are the topics covered along with their weightages in the English section of the ACT exam in 2025:

1. Production of Writing (38-43%)
2. Knowledge of Language (18-23%)
3. Conventions of Standard English (38-43%) 
4. Field test, embedded (20%)

Nehru College of Nursing, Panayur courses are offered at the UG and PG course levels. The courses on offer in the admission process for 2025 are given below: 

• BSc
• MSc

To secure a seat in the programmes candidates are required to follow the admission process. For the MSc programme candidates must appear for the KEAM as well. 

The ACT exam syllabus covers three multiple-choice based subjects and two optional sections, i.e. Science and essay writing: