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.

Question

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.

Question: 1. How many times management did give incentive to Sundaram?
2. What is the maximum increment he got in his salary?
3. What is the least incentive he got? What would be his salary had he got the same type of increment every time?
4. Had his first salary been 9 zeds what would be his present Salary?. Try the suggestions below or type a new query above.

Answer 1

1. 360 = 5 * 2^3 * 3^2

4. well, it would be 9/5 as much, right?

Answer 2

sir

Can u please explain the steps

Answer 3

To solve this problem, we need to go step by step and calculate the values based on the given information.

1. To find out how many times management gave incentive to Sundaram, we need to find the prime factors of 360. So, let's find the prime factorization of 360.

Prime factorization of 360:
360 = 2^3 * 3^2 * 5

From the prime factorization, we can see that the prime factors are 2, 3, and 5. So, the management gave incentives to Sundaram 3 times.

2. To find the maximum increment he got in his salary, we need to find the largest prime factor among the prime factors of 360. In this case, the largest prime factor is 5. Therefore, the maximum increment he got in his salary is 5 times.

3. To find the least incentive he got, we need to find the smallest prime factor among the prime factors of 360. In this case, the smallest prime factor is 2. Therefore, the least incentive he got is 2 times.

To calculate his salary if he got the same type of increment every time, we need to multiply his initial salary (5 zeds) by the cumulative product of all the prime factors (2 * 3 * 5 = 30).

So, his salary would have been 5 x 30 = 150 zeds.

4. If his first salary had been 9 zeds instead of 5 zeds, we would multiply 9 by the cumulative product of prime factors (2 * 3 * 5 = 30) to find his present salary.

Therefore, his present salary would be 9 x 30 = 270 zeds.