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Question
Two sticks, 8 cm and 12 cm long are to be divided into smaller pieces of equal and maximum possible length. The length of each smaller stick can be
Two sticks, 8 cm and 12 cm long are to be divided into smaller pieces of equal and maximum possible length. The length of each smaller stick can be
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Solution
The correct option is B 4 cm
To find the maximum possible length of smaller pieces, we need to find the HCF of the lengths of the two sticks.
Factors of 8:
1 × 8
2 × 4
Factors of 12:
1 × 12
2 × 6
3 × 4
The common factors are 1, 2, and 4.
The HCF is 4.
So, the maximum possible equal length that can be cut from both the sticks is 4 cm.
To find the maximum possible length of smaller pieces, we need to find the HCF of the lengths of the two sticks.
Factors of 8:
1 × 8
2 × 4
Factors of 12:
1 × 12
2 × 6
3 × 4
The common factors are 1, 2, and 4.
The HCF is 4.
So, the maximum possible equal length that can be cut from both the sticks is 4 cm.
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