# Broken Eggs

**Number Theory**Level 2

An egg trader was moving along a road selling eggs. An idler who didn't have much work to do started to get the egg trader into a wordy duel. This grew into a fight and he pulled the basket with eggs and dashed it on the floor. The eggs broke.

The trader requested the Panchayat (five member committee) meeting to settle the dispute. The Panchayat asked the trader how many eggs were broken ? He gave the following response

I had less than 150 eggs.

If you count in pairs, one will remain

If you count in a group of three, two will remain

If you count in a group of four, three will remain

If you count in a group of five, four will remain

If you count in a group of six, five will remain

If you count in a group of seven, nothing will remain.

How many eggs do you think have been broken?

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

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