Question

A trader has a basket of eggs if he sells 3 eggs each only 1 egg is left if he sells 4 eggs each again 1 egg is left but when he sells 7 each no eggs are left . The maximum number of eggs in the basket can be 100 find the number of eggs in the basket

Answer 1

Conditions given in the question are as follows:

Condition I: If the trader sells 3 eggs at a time, there is only 1 egg left.

Condition II: If the trader sells 4 eggs at a time, there is again 1 egg left

3 Number of eggs = Multiples of the LCM(3, 4) + 1

Multiples of 12 + 1

i.e. one of 13, 25, 37, 49, 61, 73, 85, 97

Condition III: If the trader sells 7 eggs at a time,there are no eggs left.

5 Number of eggs = Multiple of 7

i.e. one of 7, 14,21, 28, 35, 42, 49,56, 63, 70, 77, 84, 91, 98

Condition IV: Capacity of the basket is 100

The number Which satisfies all the four conditions is 49

Number of eggs in the basket = 49

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