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Consider the following folk puzzle: A trader was moving along a road selling eggs. An idler who didn't have much to do started to get the trader into a wordy duel. This grew into a fight; he pulled the basket with eggs and dashed it on the floor. The eggs broke. The trader requested the Panchayat to ask the idler to pay for the broken eggs. The Panchayat asked the trader how many eggs were broken. He gave the following response: If counted in pairs one will remain ; If counted in threes, two will remain; If counted in fours, three will remain; If counted in fives, four will remain; If counted in sixes, five will remain; If counted in sevens, nothing will remain; My basket cannot accommodate more than 150 eggs. So, how many eggs were there?

Consider the following folk puzzle:
A trader was moving along a road selling eggs. An idler who didn't have much to do started to get the trader into a wordy duel. This grew into a fight; he pulled the basket with eggs and dashed it on the floor. The eggs broke. The trader requested the Panchayat to ask the idler to pay for the broken eggs. The Panchayat asked the trader how many eggs were broken. He gave the following response:
If counted in pairs one will remain ;
If counted in threes, two will remain;
If counted in fours, three will remain;
If counted in fives, four will remain;
If counted in sixes, five will remain;
If counted in sevens, nothing will remain;
My basket cannot accommodate more than 150 eggs.
So, how many eggs were there?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
Our expert is working on this Class IX Maths answer. We will update the answer very soon.

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