# Thread: Word problems for fun!

1. Harry: Airlines have made it possible for anyone to
travel around the world in much less time than
was formerly possible.
Judith: That is not true. Many flights are too expensive
for all but the rich.
Judith’s response shows that she interprets Harry’s
statement to imply that

(A) the majority of people are rich

(B) everyone has an equal right to experience world
travel

(C) world travel is only possible via routes serviced
by airlines

(D) most forms of world travel are not affordable
for most people

(E) anyone can travel

2. Originally Posted by esidebill
I used to think I would :p but no.
You are a lot smarter than I am. Rest assured in that.

3. E. Now gimme another one, please. ;D

4. What's with the reading comprehension tests? Sounds like the PISA study*

*which, by the way, showed that the kids in my country have pretty bad reading skills.

5. Prove that there are infinitely many twin primes.

6. Originally Posted by Jonnyboy
Prove that there are infinitely many twin primes.
Oh my god, not more numbers.

7. Originally Posted by Little Linguist
Oh my god, not more numbers.
Agreed.

But relax, he is kidding.

Counter question to Jonnyboy: is there always at least one prime number between n2 and (n + 1)2 ?
(n being a natural number)

8. There is not. Consider the specific case of n=4. In this case, our range (2n, 2n+2) is defined by (8, 10). Since the only whole number to fall within that range is 9, and since 9 is not a prime number, there is not always at least a prime number between 2n and 2n+2.

Did you mean n^2 and (n+1)^2?

9. Originally Posted by Jonnyboy
There is not. Consider the specific case of n=4. In this case, our range (2n, 2n+2) is defined by (8, 10). Since the only whole number to fall within that range is 9, and since 9 is not a prime number, there is not always at least a prime number between 2n and 2n+2.

Did you mean n^2 and (n+1)^2?
I remember this is comp. sci. theory >.>

10. It's n squared, not two n! Sorry if that wasn't readable.
So in your example of n=4 we would have a range from 16 to 25, that gives us even three prime numbers: 17, 19 and 23!

It's Legendre's conjecture. I was just kidding because you (jokingly, I assume) threw the twin prime thing at us which according to a quick research is one of the remaining mysteries of number theory.

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