Angel has 24 green beads and 30 orange beads. If the number of beads of the same color in each bag has to be equal, then what is the maximum number of bags that can be packed?

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Solution

The correct option is C 6
To find the maximum number of bags she can pack, we need to find the highest common factor (HCF) of the given numbers.

Factors of 24 are:

Factors of 30 are:

Now, let us find the common factors of both the numbers using a Venn diagram.

We can observe that 6 is the highest common factor.

∴ The HCF of 24 and 30 is 6.

Hence, she can pack atmost 6 bags, each containing 4 green beads and 5 orange beads.

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