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A person has 3 bars whose length are 12,16,24m respectively. He want to cuts the longest possible pieces, all of the same length from each of the 3 bars, what is the length of the each piece, if he is cut without any wastage
- a)12m
- b)20m
- c)6m
- d)4m
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A person has 3 bars whose length are 12,16,24m respectively. He want t...
HCF of 12, 16, 24 = 4m
Most Upvoted Answer
A person has 3 bars whose length are 12,16,24m respectively. He want t...
Solution:
To find the length of the longest possible pieces that can be cut from the three bars, we need to find the greatest common divisor (GCD) of the three lengths.
Step 1: Find the factors of the lengths of the bars
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The factors of 16 are 1, 2, 4, 8, and 16.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Step 2: Find the common factors
The common factors of the three lengths are 1, 2, 4, and 6.
Step 3: Find the largest common factor
The largest common factor is 6. Therefore, the longest possible pieces that can be cut from each of the three bars will be 6 meters long.
Answer: Option D (6m)
To find the length of the longest possible pieces that can be cut from the three bars, we need to find the greatest common divisor (GCD) of the three lengths.
Step 1: Find the factors of the lengths of the bars
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The factors of 16 are 1, 2, 4, 8, and 16.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Step 2: Find the common factors
The common factors of the three lengths are 1, 2, 4, and 6.
Step 3: Find the largest common factor
The largest common factor is 6. Therefore, the longest possible pieces that can be cut from each of the three bars will be 6 meters long.
Answer: Option D (6m)
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