CCT ITEM 1
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?
1.3What is the least incentive he got? What would be his salary had he got the same type of increment every time?
1.4Had his first salary had been 9 zeds what would be his present Salary?
answer all the questions
Answers
Answer:
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Step-by-step explanation:
Answer:
1.1 The management gave incentives to Sundaram 5 times.
1.2 The maximum increment he got on his salary was 3 times the prior salary.
1.3 The least increment he got was 2 times the prior salary.
Had he got the same increment of 2 times, his salary would be 160 zeds.
1.4 Had his first salary been 9 zeds, his present salary would be 648 zeds.
Step-by-step explanation:
Given: Management increased Sundaram's salary by n times, n being a prime number always.
His initial salary= 5 zeds
His current salary= 360 zeds.
∵ Since the increment in salary has been due to multiplication by a prime number, we will go for prime factorization of his current salary
⇒ 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)×5, where 5 is the initial salary.
∴ Sundaram got increment 5 times, with 3x being the highest, while 2x being the lowest salary multipliers.