what is the least amount that a person can have such that when he distribute it into group of rs 16 or rs 18 or rs 20 or rs 25. he is always left with RS 4?
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Answer:
Option 4 - 3604
Step-by-step explanation:
Given : A person can have such that when he distribute it into group of rs 16 or rs 18 or rs 20 or rs 25. he is always left with Rs. 4
To find : What is the least amount that a person can have?
Solution :
To solve this we take the LCM of all 4 numbers.
LCM is the least common multiple
So, LCM of 16,18,20,25 is
2 | 16 18 20 25
2 | 8 9 10 25
2 | 4 9 5 25
2 | 2 9 5 25
3 | 1 9 5 25
3 | 1 3 5 25
5 | 1 1 1 5
5 | 1 1 1 1
He is always left with Rs. 4
So, 3600+4=3604
Therefore, Option 4 is correct.
Total amount =Rs. 3604
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