Hardest maths question ever

A class has less than 30 students
Exactly 3/4 of them own footballs
Exactly 7/8 of them own football boots.

i)How many students are there in the class?
ii)How many students own both football boots and footballs?



Answers:

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part i): 8, 16 or 24 part ii): 15 ..... I got this from the internet, dont slate if the answers are wrong - i didn't work them out

If you're going to just rob a random question off the internet, at least find an explanation for the answer. :P If the answer to i is a specific number, then surely the answer to ii must be specific also?

thats what i think too black apachi...

for first part just find vales of n such that

3n/4, 7n/8 is an integer, as obviously can't have not a whole number of people.

this gives n = 8,16,24,32... but n<30 so only 8, 16, 24.

second part is so ambiguous, because we are assuming that there are 0 students who have nothing.

but,

if we take n = 24, which is most likely for a class size this will give the answer of 15.
if we take n = 16, this gives 10.
if we take n = 8, this gives 5.

No offense to anyone but how the hell is that question the "hardest maths question ever" :S

First of all, this doesn't qualify for "Hardest Maths Question Ever".
Second, if there are 8 students in the class, how can there by 15 who own both footballs and football boots?

i got the first question right.

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Originally Posted by DieselShaq

First of all, this doesn't qualify for "Hardest Maths Question Ever".
Second, if there are 8 students in the class, how can there by 15 who own both footballs and football boots?

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What did i say in the spoiler?

Quote:

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I got this from the internet, dont slate if the answers are wrong - i didn't work them out

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If the answer to the second part is 15, then the answer to the first must be 24. If the answer to the first contains "or"s, then the answer to the second part must also contain "or"s.

And ignore my first point from my previous post. Essential information is missing from the question if you're working it out, making the question impossible to answer, hence "Hardest Maths Question Ever".

Quote:

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Originally Posted by DieselShaq

If the answer to the second part is 15, then the answer to the first must be 24. If the answer to the first contains "or"s, then the answer to the second part must also contain "or"s.

And ignore my first point from my previous post. Essential information is missing from the question if you're working it out, making the question impossible to answer, hence "Hardest Maths Question Ever".

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Carry on if you will, i got this from the internet by typing 'Hardest maths question ever' I dont care if it is or not, nor that you're trying to explain it to me

I'm not slating the "wrong" answer here, since I don't know if the answer is wrong or not.