Question

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A trader with a basket of eggs finds thar if he sells 3 eggs at a time there is only 1 egg left.If he sells 4 eggs at a time,again 1 egg is left.However if the trader sells 7 eggs at a time,there are no eggs left.If the capacity of the basket is 100 eggs,find how many eggs are in the basket ? Explain with reasoning.

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

Answer 2

HEY MATE HERE IS YOUR ANSWER

A trader with a basket of eggs finds thar if he sells 3 eggs at a time there is only 1 egg left.If he sells 4 eggs at a time,again 1 egg is left.However if the trader sells 7 eggs at a time,there are no eggs left.If the capacity of the basket is 100 eggs,find how many eggs are in the basket ? Explain with reasoning.

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Answer. : 49 eggs

He sells 3 eggs at first 1 remain so total eggs are 4.

He sells 4 eggs at 2nd time 1 remain so total eggs are 5.

He sells 7 eggs at 3rd time

Capacity of basket is 100

Therefore, 49 eggs are remained in basket.

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