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No, candidates need to first submit Form A and only then they will be eligible to submit the Form-B by visiting the official website of OUAT Entrance Exam.

75. Let a and d be the first term and common difference of the A.P.

So,  $a(m+n)+a(m-n)=\{a+[(m+n)-1]d\}+\{a+[[m-n)-1]d\}$

$=a+\left(m+n-1\right)d+a+\left(m-n-1\right)d$

$=2a+\left(m+n-1+m-n-1\right)d$

$=2a+\left(2m+0-2\right)d$

$=2[a+(m-1)d]$

= 2 am

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OUAT has rescheduled the release date of OUAT 2025 Admit Card to accommodate application process and to ensure a better experience for OUAT Applicants. 

Candidates applying for a BTech course in SGT University have to submit the important documents. These are required to verify that the applicants are eligible for the course. Hence, aspirants shall hold the original and copies of the important documents. Mentioned below are the documents that should be kept in handy during form filling and admission:

• Class 10 and Class 12 mark sheet
• Aadhaar card or other identity proof
• Migration certificate
• Photograph
• Signature
• Category certificate, etc.

Karnavati University BBA admission is based on the applicants' performance in the accepted entrance exam, followed by the personal interview conducted by the university. The university accepts the CUET UG and UGAT scores to shortlist prospective candidates for BBA admission. The university also conducts the Karnavati University Admission Test (KUAT). Candidates seeking BBA admission must apply and appear for any one of the three aforementioned entrance exams.

Entrance exams are specifically tough or easy for certain course admissions. For example, the NIFT entrance, NID Entrance, and CEED are relatively difficult exams, and their structure remains the same for every course admission they offer. However, the difficulty level of some sections may differ as these exams include domain-specific topics.

Actually,SCD Government college does not have physiotherapy courses as it only have arts and science courses

But I would tell you some other colleges in Ludhiana which is great for physiotherapy courses:

1.Christian medical college

2.CT University 

3.All Saints Institute of medical sciences and research 

If you have further queries feel free to connect:)

72. Given that,

a_n = n(n + 1)(n + 4)

= n(n² + 4n + n + 4)

=n(n² + 5n + 4)

= x³ + 5x² + 4x

So, sum of terms, S_n = $\sum n^3+5\sum n^2+4{\displaystyle \sum _{}^{}n}$

$={\left[\frac{n(n+1)}{2}\right]}^2+5\times \frac{n(n+1)(2n+1)}{6}+\frac{4\stackrel{?}{n}(n+1)}{2}$

$=\frac{n(n+1)}{2}\left[\frac{n(n+1)}{2}+\frac{5(2n+1)}{3}+4\right]$

$=\frac{n(n+1)}{2}\left[\frac{3n(n+1)+2\times 5(2n+1)+6\times 4}{6}\right].$

$=\frac{n(n+1)}{2}\left[\frac{3n^2+3n+20n+10+24}{6}\right]$

$=\frac{n(n+1)}{2}\left[\frac{3n^2+23n+34}{6}\right]$

$=\frac{n(n+1)\left(3n^2+23n+34\right)}{12}$

$=\frac{n(n+1)}{12}$ $\left(3n^2+6n+17n+34\right)$

$=\frac{n(n+1)}{12}[3n^2+23n+34]$

The aspirants shall first check that they meet the eligibility requirements. Eligible students can further proceed with registration and form filling. The applications are then scanned and shortlisted. For selection, the applicants performance in the last qualifying exam is evaluated or CUET scores. Candidates applying for admission through CUET may have to participate in a round of counselling. Once the final selection is done, aspirants can pay the admission fee amount to lock their seats. 

NIILM University offers its BTech programme at a total tuition fee of INR 3.2 lakh, making it a more budget-friendly option compared to KR Mangalam University (INR 6.9–10.6 lakh) and Maharishi Markandeshwar University (INR 3.7–5.6 lakh). While Shiksha ratings for NIILM University BTech programme are not yet available, both KR Mangalam and Maharishi Markandeshwar University have received student ratings of 3.9 out of 5. This cost and feedback comparison can help prospective students make more informed decisions based on affordability and reviews.

Alagappa University offers the Bachelor of Science (BSc) course to students with a lot of exposure building activities. In order to be eligible for the BSc programme at Alagappa University, the student must have, first of all, qualified his Higher Secondary education. Upon passing the 12th standard examinations, the candidate is expected to appear for the prescribed eligibility tests like NCET, IMU CET, etc.

When comparing BTech colleges such as NIILM University, students should consider several important factors: the variety of specialisations offered, how well the curriculum aligns with industry trends, the availability of hands-on learning opportunities, total tuition fees, and student reviews such as Shiksha Ratings. These elements help determine the overall value and relevance of the education provided.

71. The given series is 1² + (1² + 2²) + (1² + 2² + 3²) + …

So, nth term well be

a_n =1² + 2² + 3² + … + n².

$=\frac{n(x+1)(2n+1)}{6}$

$=\frac{n\left(2x^2+n+2n+1\right)}{6}$

$=\frac{n\left(2n^2+3n+1\right)}{6}$

$=\frac{2n^3+3n^2+n}{6}$

$=\frac{x^3}{3}+\frac{x^2}{2}+\frac{x}{6}$

So, S_n = $\frac{1}{3}\sum n^3+\frac{1}{2}\sum n^2+\frac{1}{6}{\displaystyle \sum _{i=1}^{n}n}$

$=\frac{1}{3}{n}^2\frac{{(n+1)}^2}{4}+\frac{1}{2}\frac{n(n+1)(2n+1)}{6}+\frac{1}{6}·\frac{n(n+1)}{2}$

$=\frac{n(x+1)}{6}\left[\frac{n(x+1)}{2}+\frac{(2n+1)}{2}+\frac{1}{2}\right]$

$=\frac{n(n+1)}{6}\left[\frac{n^2+n+2n+1+1}{2}\right]$

$=\frac{n(n+1)}{12}\left[n^2+5n+2n+2\right]$

$=\frac{n(n+1)(n+1)(n+2)}{12}$

$=\frac{n{(n+1)}^2(n+2)}{12}$

Candidates should download the OUAT 2026 admit card as and when it is released. It should be downloaded before the exam date. They should preserve it till the counselling process is over.