Problem text:

1. Jo announces: "I have more than 999 books"
Jean says: "No, Jo, you have fewer than 1000 books
Mary says: "Jo has at least one book".
Only one of the statements is true. How many books does Jo own?

2. Nine men and two boys, trekking through the junle, need to cross a river. They have a small inflatable boat and it's easy enough to row it across the river. The boat, however, can hold no more than one man or the two boys. How can they all get across? (Hint, suppose there was only one man and two boys)

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1. On a deserted road a man gets a flat tire. Pulls over to the side of the road. Removes the hub cap, unscrewed the lugs and rested them carefully in the hub cap, jacks up the car. As he was putting the spare tire onto the axle he accidentally kicked the hub cap. The lugs rolled out, and all five of them fell down a nearby grate. Peering through the bars of the grate the man thought that he could see the lugs about 6 feet below in a shallow water puddle. He had a problem. How do you think he solved it?

2. It is noon, your lunch hour but you cannot go out because there is a terrific hailstorm. Turning on your radio you hear the weathercaster predict that the hail will change to rain and that it will pour all day today. How can you determine whether the sun will be shining in 36 hours? Justify your answer.

Thanks

Problem text:

How does this work?
Key in the first three digits of your phone number (not
the area code).
Multiply by 80.
Add 1.
Multiply by 250.
Add the last four digits of your phone number.
Add the last four digits of your phone number again.
Subtract 250.
Lastly divide by 2.
Is it your phone number?

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Problem text:

How many four-digits numbers can be formed under the following conditions?
(a) Leading digits cannot be zero.
(b) Leading digits cannot be zero and no repetition of digits is allowed.
(c) Leading digits cannot be zero and the number must be a multiple of 5.

Problem text:

Q. Single file
In how many orders can five girls and three boys walk through a doorway single-file, given the following conditions?

a. There are no restrictions
b. The boys go before the girls
c. The girls go before the boys.

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Problem text:

Arrange the 10 digits 1,2,3,4,5,6,7,8,9,0 in such a way that the resulting number is divisible to every number from 2-18

Problem text:

Q. Test questions
A student may answer any 12 questions from a total of 15 questions on an exam. How amny different ways can the select the questions?

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Q. On a committee of nine, how many ways can we choose a president, vice president, secretary, and tresurer if no one can serve in two positions?

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Jaime and Paul were playing a game where they added beans. The "bean pot" started with 0. Jaime and Paul took turns adding 1, 2, or 3 beans. The winner was the player who made a sum of exactly 24 beans in the pot. Jaime said he can always win if he starts first. Is he right?

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Problem text:

1
11
21
1211
111221
312211
131122211
13112221
1113213211 I need the next line! help this is for my daughter's 6th grade math class. I know i've seen it before, but can't seem to remember the answer to even start to help her.