The Mango Riddle

Here is a famous riddle from my childhood days. More than one answer is possible to this riddle.

 A woman is carrying a bag full of mangoes. She boards a bus and after traveling for a while, the bus breaks down. At that instance, all the mangoes in her basket falls down.

Given the tiresome work of putting them back in the basket, she starts rearranging them in some order. Here are some clues.

i) When she arranges the mangoes in sets of 2, she has one mango left.
ii) When she arranges the mangoes in sets of 3, she has one mango left.
iii) When she arranges the mangoes in sets of 4, she has one mango left.
iv) When she arranges the mangoes in sets of 5, she has one mango left.
v) When she arranges the mangoes in sets of 6, she has one mango left.

However, when she arranges the mangoes in sets of 7, she has nothing left. If this is the case, how many mangoes were available in her basket initially?



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