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Sundaram joined a company for a fixed salary per month. After few months, the management felt happy with his work and multiplied his salary by some n times. This happened every few months and his salary kept getting multiplied and he reached a salary of 360 zeds. Every time the management increased the salary by a prime number of times only and his initial salary was 5 zeds.1.1How many times management did give incentive to Sundaram? 1.2What is the maximum increment he got in his salary?
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Sundaram joined a company for a fixed salary per month. After few mont...
Given :  Company   Multiplied Sundram salary by n times ( n being a prime number) few time. His initial Salary was 5 Zeds & now his salary in 360  Zeds

To find : How many times management did give incentive to Sundaram

Solution:

360 = 2 * 180

= 2 * 2 * 90

= 2 * 2  * 2 * 45

= 2 * 2 * 2 * 3 * 15

= 2 * 2 * 2 * 3 *  3 * 5

(2 * 2 * 2 * 3 *  3 )  * Initial Salary

Salary increased every time by a prime number times

Hence Sundaram   salary increased on  5  times

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Sundaram joined a company for a fixed salary per month. After few mont...
Answer


  1. Number of Incentives Given

  2. To find out the number of incentives given to Sundaram, we can work backwards from his final salary of 360 zeds. Starting with 360, we can divide it by prime numbers until we get to 5, which was his initial salary.

    360 ÷ 2 = 180

    180 ÷ 3 = 60

    60 ÷ 5 = 12

    12 ÷ 2 = 6

    6 ÷ 3 = 2

    2 ÷ 2 = 1

    Therefore, Sundaram received incentives 6 times.

  3. Maximum Increment in Salary

  4. The maximum increment in Sundaram's salary occurred when the management multiplied it by a prime number. To find the maximum increment, we need to find the largest prime factor of 360.

    360 ÷ 2 = 180

    180 ÷ 2 = 90

    90 ÷ 2 = 45

    45 ÷ 3 = 15

    15 ÷ 3 = 5

    5 is a prime number, so the maximum increment in Sundaram's salary was 5 times his previous salary.

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Sundaram joined a company for a fixed salary per month. After few months, the management felt happy with his work and multiplied his salary by some n times. This happened every few months and his salary kept getting multiplied and he reached a salary of 360 zeds. Every time the management increased the salary by a prime number of times only and his initial salary was 5 zeds.1.1How many times management did give incentive to Sundaram? 1.2What is the maximum increment he got in his salary?
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Sundaram joined a company for a fixed salary per month. After few months, the management felt happy with his work and multiplied his salary by some n times. This happened every few months and his salary kept getting multiplied and he reached a salary of 360 zeds. Every time the management increased the salary by a prime number of times only and his initial salary was 5 zeds.1.1How many times management did give incentive to Sundaram? 1.2What is the maximum increment he got in his salary? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Sundaram joined a company for a fixed salary per month. After few months, the management felt happy with his work and multiplied his salary by some n times. This happened every few months and his salary kept getting multiplied and he reached a salary of 360 zeds. Every time the management increased the salary by a prime number of times only and his initial salary was 5 zeds.1.1How many times management did give incentive to Sundaram? 1.2What is the maximum increment he got in his salary? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sundaram joined a company for a fixed salary per month. After few months, the management felt happy with his work and multiplied his salary by some n times. This happened every few months and his salary kept getting multiplied and he reached a salary of 360 zeds. Every time the management increased the salary by a prime number of times only and his initial salary was 5 zeds.1.1How many times management did give incentive to Sundaram? 1.2What is the maximum increment he got in his salary?.
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