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When the eggs in a basket are grouped into 2, 3, or 5, there is always extra one. What is the least number of eggs for this grouping to be done?
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Let E be the  number of eggs.

Take one egg off.

Then we will have E-1 eggs, and E-1 will be multiple of 2, 3, and 5.

 The least number of eggs = 2*3*5 = 30.


 Hence, E-1 = 30.

 Then E = 31.

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