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Two containers contain 50 and 125 litres of water respectively. Find the maximum capacity of a container which can measure the water in each container an exact number of times(in litres)
- a)25
- b)11
- c)12
- d)15
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two containers contain 50 and 125 litres of water respectively. Find t...
The maximum capacity of a container which can measure the water in each container an exact number of times will be the HCF of the capacity of the two containers:
HCF of 50 and 125 = 25
Most Upvoted Answer
Two containers contain 50 and 125 litres of water respectively. Find t...
Problem: Two containers contain 50 and 125 litres of water respectively. Find the maximum capacity of a container which can measure the water in each container an exact number of times(in litres)
Solution:
We can find the maximum capacity of a container by finding the HCF of the given volumes of water.
Step 1: Prime Factorization
50 = 2 x 5^2
125 = 5^3
Step 2: Identify the common factor(s)
The only common factor is 5.
Step 3: Find the HCF
HCF = 5
Therefore, the maximum capacity of a container is 5 litres, as it can measure 50 litres (10 times) and 125 litres (25 times) an exact number of times.
Answer: (a) 25
Solution:
We can find the maximum capacity of a container by finding the HCF of the given volumes of water.
Step 1: Prime Factorization
50 = 2 x 5^2
125 = 5^3
Step 2: Identify the common factor(s)
The only common factor is 5.
Step 3: Find the HCF
HCF = 5
Therefore, the maximum capacity of a container is 5 litres, as it can measure 50 litres (10 times) and 125 litres (25 times) an exact number of times.
Answer: (a) 25
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