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There is a basket of an eggs. The remainder is 1 When we put the eggs into the group of 2. The remainder is 2 when put the eggs in the group of 3. The remainder is 3 when we put eggs in the group of 4. The remainder is 4 and 5 respectively When we put the eggs in the group of 5 and 6. How many eggs are there in the basket?

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I see you've made at least 5 questions on this MSE, but you accepted only one of the answers given to you. You should accept your favorite answer. – Git Gud Jan 14 '13 at 16:13

Hint. If you have $n$ eggs, then $n+1$ is divisible by $2$, $3$, $4$, $5$, and $6$.

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