Henry Ernest Dudeney/Puzzles and Curious Problems/131 - Feeding the Monkeys

by : $131$

 * Feeding the Monkeys
 * A man went to the zoo with a bag of nuts to feed the monkeys.
 * He found that if he divided them equally amongst the $11$ monkeys in the first cage he would have $1$ nut over;
 * if he divided them equally amongst the $13$ monkeys in the second cage there would be $8$ left;
 * if he divided them amongst the $17$ monkeys in the last cage $3$ nuts would remain.
 * He also found that if he divided them equally amongst the $41$ monkeys in all $3$ cages,
 * or amongst the monkeys in any $2$ cages,
 * there would always be some left over.


 * What is the smallest number of nuts that the man could have in his bag?