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Question

Sunita took some tamarind (imli) seeds. She made groups of five with them, and found that one seed was left over. She tried making groups of six and groups of four. Each time one seed was left over. What is the smallest number of seeds that Sunita had?

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Solution

We know, that if we make groups of 4, 5 and 6, each time we will be left with 1 seed.
So, we calculate the LCM of 4, 5 and 6 and add 1 to it.

Thus, the LCM of (4, 5, 6) = 60
Adding 1 to it, we get 61.

So, the smallest possible number of seeds that Sunita had is 61.

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