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S = 1 + 3 + 3² + 3³ + ….+ 3²⁰²¹   $=\frac{3^{2022}-1}{2}=\frac{1}{2}\left[a^{1011}-1\right]$

^{$=\frac{1}{2}\left[9^{1011}-1\right]=\frac{1}{2}\left[100k+10110-1-1\right]$}                          

= 50k₁ + 4

Remainder = 4

$\left\{a\in \left(1,2,3,......,100\right):HCF\left(a,24\right)=1\right\}$

HCF of (a, 24) = 1 $\therefore$ a = 1, 5, 7, 11, 13, 17, 19, 23 sum of these numbers = 96

$\therefore$ There are four such blocks and a number 97 is there upto 100.

$\therefore$ complete sum = 96 + (24 × 8 + 96) + (48 × 8 + 96) + (72 × 8 + 96) + 97 = 1633

IISER Berhampur cutoff 2025 for the BS + MS course across multiple specialisations stood at 3299 during the Round 1 cutoff for the students belonging to the General AI quota. So, considering the first-round cutoff rank, candidates must target to secure a rank up to 3299 and lower to improve their chances for admission. Please note that the required cutoff ranks vary for different rounds and categories. 

To make a career in journalism first you need to complete the basic requirement which is to complete graduation in journalism. You can also pursue post-graduation in journalism or pick a subject of your interest such as Political Science, History, etc.

During the completion of the degree, you will also be able to sharpen your skills in writing, being creative, creating reports, building stories, developing narratives, and researching. Once you have these skills, you can make a successful career as a journalist.

BSc aspirants typically need to submit their Class 12 mark sheet, a government-approved photo ID (such as Aadhaar or Passport), recent passport-size photographs, and any other academic or personal documents as specified by the university. For specialised programmes like BSc Agriculture (Hons), students must also provide a valid Rajasthan JET 2025 scorecard during the admission process.

After successfully clearing the selection process, students move forward in the admission journey. In the final stage, they are required to confirm their seat by paying the prescribed tuition fee. For the BSc programme at Raffles University, the total tuition fee ranges between INR 1,35,000 and INR 2,60,000, excluding additional charges such as hostel fees or deposits.

It is important for students to clear the selection process to secure admission to the BSc programme at Raffles University. The process includes a Personal Interview carrying 60% weightage and a Situation Test carrying 40% weightage. For specialised courses like BSc Agriculture (Hons), students may be required to present a valid Rajasthan JET 2025 scorecard as part of the selection criteria.

There is a simple procedure for students to smoothly register on the Raffles University admission portal. Firstly, they need to visit the official website and go to the admissions page. Then, they must register by filling in their basic details, verify their email, log in using the credentials received, complete the application form, and pay the application fee online.

Sum of all given numbers = 31

Difference between odd and even positions must be 0,11 or 22 but 0 and 22 are not possible.

$\therefore$ Hence 11 is possible.

This is possible only when either 1, 2, 3, 4 if filled in odd places in order and remaining in other order.

Hence 2, 3, 5 or 7, 2, 1 or 4, 5, 1 at even places.

$\therefore$ Total possible ways = (4! × 3!) × 4 = 576

In journalism one gets to explore and unearth the truth, bring change, and start discussions. Today there is a lot of scope in journalism as the genre is not just limited to politics and current affairs but there are many more fields such as finance, education, law, Science and technology, and sports, which have a lot of potential. 

 $S=\{\left(\begin{array}{cc}\hfill 1\hfill & \hfill a\hfill \\ \hfill 0\hfill & \hfill b\hfill \end{array}\right),a,b\in 1,2,3,.....100$

$\therefore A=\left(\begin{array}{cc}\hfill -1\hfill & \hfill a\hfill \\ \hfill 0\hfill & \hfill b\hfill \end{array}\right)$ then even power of A as A = $\left(\begin{array}{cc}\hfill 1\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 1\hfill \end{array}\right).$

If b = 1 & $a\in \left\{1,2,3.....100\right\}$ and n (n + 1) is always even

$\therefore T_1,T_2,T_3,........,T_n$ are all 1 for b = 1 and each value of a.

$\therefore {\displaystyle \underset{n=1}{\overset{1000}{\cap }}{T}_n=100}$

Yes, journalists in India are paid very well. Journalism salary in India ranges from INR 3 Lacs to 4 Lacs for an entry-level job after completion of the internship. With experience and skill development the candidate gets into the salary bracket of INR 8-10 Lacs within 4-5 years. Exceptional cases even breach the INR 10 Lacs salary bracket in less time. There are also many perks associated with this salary, hence, it can be said that journalists are paid well in India.

Circle $\left|z-3\right|\le 1\Rightarrow {\left(x-3\right)}^2+y^2\le 1$

and line $z\left(4+3i\right)+\overline{z}\left(4-3i\right)\le 24$

$\Rightarrow 4x-3y\le 12\therefore slope=tan\theta =\frac{4}{3}$

Yes, BSc is available at Medicaps University. It is a bachelor's course offered in full-time mode. Moreover, this BSc programme is spread across various specialisations, such as Biotechnology, Forensice Science, and more. Students can choose the specialisations as per their interests. Other than BSc, the university also offers various BSc Hons courses.

The salary of a journalist depends upon which position they have been selected for. At first, fresh mass communication graduates/post graduates are hired as interns and allocated to various departments as per their interests and the organization's requirements in the Input and Output division, anchors, producers, reporters, guest coordinators, research departments, etc.

For an entry-level journalist job in India, post successful completion of their internship period, the salary can range between INR 3 Lacs to 4 lakh. As the journalist gains experience the salary sees a rise along with various other perks.

IISER Mohali cutoff 2025 has been released for different categories of students under the AI quota. For the General category, the cutoff rank for BS + MS admission across multiple specialisations was 1778. To view the category-wise ranks, refer to the table below:

Yes, candidates can apply for GATE 2026 even if they have backlog, as long as you are in the final year or have completed your degree. GATE does not disqualify candidates with backlogs. However, candidates must clear their backlogs before taking M.Tech admission or getting into PSU. However, during the counselling or recruitment process, it can hamper in the selection process. 

$?f_{\lambda }\left(x\right)=4\lambda x^3-36\lambda x^2+36x+48$

$f_{\lambda }\left(x\right)=12\left(\lambda x^2-6\lambda x+3\right)$

For increasing $f_{\lambda }\left(x\right)\ge 0$

$f_{\lambda }^{*}\left(x\right)=\frac{4}{3}{x}^3-12x^2+36x+48\therefore f_{\lambda }^{*}\left(1\right)+f_{\lambda }^{*}\left(-1\right)=73\frac{1}{2}-1\frac{1}{2}=72$

The highest paid journalists in India are Arnab Goswami, Rajat Sharma, Sudhir Choudhary, Anjana Om Kashyap, Rajdeep Sardesai, Barkha Dutt, Nidhi Razdan, Sweta Singh, Vikram Chandra and Deepak Chaurasia, etc. The salary of these journalists ranges from INR 3 to 12 crores per annum.