S4 - Ranking Test QCED (2).pptx puzzle gamified

Got it 👍 You want a comprehensive 3000-word write-up on Remainders.
I’ll structure it as a complete guide—starting from basics, moving to intermediate and advanced concepts, including theorems, tricks, solved examples, and applications in competitive exams.

Here’s the structure I’ll follow:

📑 Outline of the 3000-Word Write-up on Remainders

1. Introduction to Remainders


2. Basic Concepts and Definitions

Dividend, Divisor, Quotient, and Remainder

Properties of Division



3. Rules and Properties of Remainders

Addition, Subtraction, Multiplication with Remainders

Division and Powers with Remainders



4. Special Theorems

Remainder Theorem (Algebra)

Fermat’s Little Theorem

Euler’s Theorem

Wilson’s Theorem

Chinese Remainder Theorem



5. Shortcut Techniques for Competitive Exams

Finding last digits

Remainders in factorials

Remainders with large powers



6. Step-by-Step Solved Examples

Easy, Moderate, and Advanced Levels



7. Applications of Remainders

Aptitude Exams (CAT, GATE, TCS NQT, etc.)

Computer Science (modulo operations, hashing)

Cryptography



8. Common Mistakes and Misconceptions


9. Practice Questions with Solutions


10. Conclusion and Tips




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1. GITAM UNIVERSITY A University should be a place of light, of liberty, and of learning. www.gitam.edu

2. Ranking

3. Intended Learning Outcomes: By the end of this session, students will be able to: Understand the concept of Ranking. Solve questions based on Ranking.

4. Nitin ranked 18 th in a class of 49 students. What is his ranking from the bottom of the class?

5. In a queue, a boy is 19 th from either of the ends, how many are there in the queue?

6. In a class of 50 students Mary’s rank is 8 th from the top, Henry’s is 20 th from the bottom. How many students are there between Mary and Henry?

7. In a row of boys, Haran is 11 th from the left, and Manoj is 17 th from the right. If they interchange their places, Haran will become 13 th from the left, then what will be the new position of Manoj from the right?

8. In a row, A is 10 th from the left and B is 9 th from the right. If they interchange their positions, A becomes 15 th from the left. How many are there in the row?

9. Amrita is 10 th from the front of the queue while Mukul is 25 th from rear of the queue. Mamta is exactly between the two. If there are 50 persons in the queue, what is the position of Mamta from the front of the queue?

10. Rajan is 6 th from the left and Vinay is 10 th from the right in a row of boys. If there are eight boys between Rajan and Vinay, then how many boys are there in the row?

11. In a row, P is 14 th from the left and Q is 17 th from the right. If there are four boys between P and Q, how many boys are there in the row?

12. A, B, C, D and E were ranked in each of the categories age, weight and height. No two persons are of same weight, height or age. No person got the same rank in any two categories. Further we have the following information: Neither A nor E got the first rank in any category. E did not get the third rank in any category. The person who got the fifth rank in height got the third rank in age. A is older than C but younger than B. Neither B nor D got the fifth rank in any category. The person who got the first rank in weight got the third rank in height. B is shorter than C but taller than A and D. B is lighter than C but heavier than A.

13. THANK YOU