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

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Solution

The correct option is B 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 = 1, 2, 3, 4, 6, 8, 12, 24
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

1, 2, 3 and 6 are common factors of 24 and 30. Since 6 is the largest of these, the HCF of 24 and 30 is 6.

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

$(6 \times 4 = 24 and 6 \times 5 = 30)$

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