A man went to the zoo with a bag of nuts. At the zoo he stopped near three cages of monkeys and decided to give the monkeys all his nuts.
"If I divide all the nuts equally among the eleven monkeys in the first cage", thought the man, "one nut will remain. If I divide them equally among the thirteen monkeys in the second cage, eight nuts wilt remain. If I divide them among the seventeen monkeys in the third cage, three nuts will remain. And if I divide the nuts equally among the forty-one monkeys in all three cages or among the monkeys in any two cages, some nuts will remain, too."
What is the smallest number of nuts that the man could have in his bag?
2. When Did Alfred Reach School?
Alfred had a very long walk to school every morning. When he got to the church, he had walked one quarter of the way, and it was usually half past eight on the church clock when he passed it.
When he got to the railway station, he had walked one-third of the way, and it was usually twenty-five minutes to nine on the station clock when he passed it.
At what time did he usually reach school?
3. How Old Is Mr. Brown?
"How old are you, Mr. Brown?" Mr. Smith asked his friend.
"I forgot exactly", was the answer. "But my brother is two years older than I, my aunt is four years older than he, my mother was twenty when I was born, and she told me yesterday that the average age of each of the four members of family (my brother, my sister, my mother and me) is thirty-nine years."
How old is Mr. Brown?
4. When Was the Watch Right?
At noon on Monday Alfred asked his father what time it was. His father told him that it was noon, and said that his watch was two minutes fast.
On Wednesday morning, Alfred again asked the time, and his father answered that the exact time was eight o'clock, but said that his watch was one minute slow.
Can you say at what time the watch of Alfred's father was exactly right?
5. How Much Does the Man Weigh?
A man weighs 60 kilograms plus one-third of his weight. How much does he weigh?