Think you're clever? Yami tests you...

[Yami Silver]

Very bored so I wanted to see if people on NB were good at maths and if so who. Going to try and make these tricky. These will be different to your school work because these will require more thinking, rather than knowing. Hopefully you'll enjoy this style more.
Have some fun with these questions.

1. In a meeting with "n" many people, where each person shakes hands with every other person, how many handshakes are made (in terms of n)?

2. In the third round of the Chunin exams (yay, Naruto reference), there are 16 Genin left. How many fights take place? What about if there are 1234 Genin? What is the the general solution for the amount of fights (if there are n many Genin, how many fights will there be)?

3. P is any prime number greater than 3. Prove that P[SUP]2[/SUP] - 1 is a multiple of 24. NOTE: A prime number is an integer that can only be divided into an integer by itself and 1. 1 is not a prime.

4. In a room with 13 people, what is the probability that at least two people in the room share a birthday in the same month?

5. Given that n shares the same last digit as n[SUP]5[/SUP], is 3[SUP]2015[/SUP] - 2[SUP]2015[/SUP] a prime number?

6. Let A, B, C and D be points on a circle that form the quadrilateral ABCD. Let the lines through CD and BA meet at E. The line through D, which is a tangent to the circle ADE meets the line through CB at F. Prove that the triangle CDF is isosceles.

7. (For the Yu-Gi-Oh fans) In the card game Yu-Gi-Oh, each player starts off by drawing 5 cards from their respective decks. There are 5 different cards named the Forbidden One cards.
These cards are:
The Left Leg of the Forbidden One
The Right Leg of the Forbidden One
The Left Arm of the Forbidden One
The Right Arm of the Forbidden One
Exodia the Forbidden one (the head ).
Exodia the Forbidden One has the effect where if you have all 5 Forbidden One cards in your hand, you win automatically.
Each "piece" of Exodia is limited to 1 card per deck. In a deck of 40 cards, what is the probability that you win without a turn being made?

Don't be bummed if you can't do them, I made them hard on purpose

Note: I am expecting 0 replies to this thread xD.

 

[Flakez]

I came here to shitpost, not do math.

 

[Dissonant Values]

So I'm guessing the first is a trick question...

You cant derive an absolute from a variable.

D. not enough information

Also someone is ripping off Euclid's 1st Proposition:

'On a given finite straight line: construct an equillateral triangle'

 

[Yami Silver]

So I'm guessing the first is a trick question...

You cant derive an absolute from a variable.

D. not enough information

Also someone is ripping off Euclid's 1st Proposition:

'On a given finite straight line: construct an equillateral triangle'

Probably should have mentioned "in terms of n"

Trust me, there's enough information (this one is kind of a trick question TBH).

Euclid eh? Cool guy

 

[Marin]

Idk about the first 6 but the 7th one I can answer. The probability of getting all pieces is directly proportianate to the amount of belief you have in the heart of the cards.

 

[Dissonant Values]

Probably should have mentioned "in terms of n"

Trust me, there's enough information (this one is kind of a trick question TBH).

Euclid eh? Cool guy

Ooooohhhh, yeah havent sequenced alternating phrases since high school.

Pass...

 

[Yami Silver]

Idk about the first 6 but the 7th one I can answer. The probability of getting all pieces is directly proportianate to the amount of belief you have in the heart of the cards.

Now that is a solid answer. Kudos to you lol

 

[Sonnelion]

So I'm guessing the first is a trick question...

You cant derive an absolute from a variable.

D. not enough information

Also someone is ripping off Euclid's 1st Proposition:

'On a given finite straight line: construct an equillateral triangle'

I just realized that breaking a pencil in your mouth is impressive....


OT~ No one cares.

 

[Dissonant Values]

I just realized that breaking a pencil in your mouth is impressive....


OT~ No one cares.

Git 'em boy

 

[Narushima]

None of these seem to be BMO standard, so the UK maths challenge then Yami?

I'll spoil the Exodia one to spoil their fun but I'll leave the rest - there is only one way of drawing the cards and the total number of possibilities will be the number of ways you can choose 5 objects (cards) from 40 (i.e. 40C5).

 

[Yami Silver]

None of these seem to be BMO standard, so the UK maths challenge then Yami?

I'll spoil the Exodia one to spoil their fun but I'll leave the rest - there is only one way of drawing the cards and the total number of possibilities will be the number of ways you can select 5 objects (cards) from 40 (i.e. 40C5).

Funnily enough I took the isosceles triangle question straight out of the BMO1 that I did in November. Didn't want to make it TOO hard for people. I can give you a harder one if you want

 

[Narushima]

Funnily enough I took the isosceles triangle question straight out of the BMO1 that I did in November. Didn't want to make it TOO hard for people. I can give you a harder one if you want

The ones at the end of the senior challenge become hard to distinguish from the easier BMO ones.

And no thanks man, I don't want to embarrass myself (and I've been away from serious maths for a while now) - you're probably the only guy in the entire history of this forum that would be comfortable with even standard BMO 1 man ;p

 

[Legendary Saiyan]

First one is easily n squared.

Third one only prime number 5 can equal to 24. And prime number 17 seems to fit. 289 - 1 = 288 and therefore 288 is basically 12 squared then double it. Not really that hard though .-.

Edit: Also, 19 also fits for number 3. .-.

 

[Dissonant Values]

Funnily enough I took the isosceles triangle question straight out of the BMO1 that I did in November. Didn't want to make it TOO hard for people. I can give you a harder one if you want

Suppose there is a standard for legal law that is accepted universally. At what point is it most beneficial to sell your soul to Satan in the form of a written contract?

 

[ChicagoJhawk]

Lol fu€k proofs. I thought I was done with that shit after geometry

 

[Yami Silver]

First one is easily n squared.

Sorry, incorrect. Want another shot? Or should I spoil the answer for you?

The ones at the end of the senior challenge become hard to distinguish from the easier BMO ones.

And no thanks man, I don't want to embarrass myself (and I've been away from serious maths for a while now) - you're probably the only guy in the entire history of this forum that would be comfortable with even standard BMO 1 man ;p

Hahaha BTW, STEP is going well - two weeks until I do them.

 

[thisisit]

Answer 1: n(n-1)/2. It is simple combination.

 

[Legendary Saiyan]

Sorry, incorrect. Want another shot? Or should I spoil the answer for you?

Ok I'll try again. Also, I edited my post and did number 3.

K I think it's n/2 for the first one since it seems it's only one handshake lol

 

[Narushima]

Hahaha BTW, STEP is going well - two weeks until I do them.

Good to hear man!

I knew you'd pick up STEP quickly - and I'm pretty sure you're going to get those 1s/S'

 

[Yami Silver]

Suppose there is a standard for legal law that is accepted universally. At what point is it most beneficial to sell your soul to Satan in the form of a written contract?

Well Satan resides outside the known universe (or perhaps doesn't even exist) so he would not care about this contract. Satan is also a complete douche. Therefore, in this given case - or any other - it is never beneficial to sell your soul to Satan.

If we assume Satan accepts the standards, then my answer changes significantly. We must first look at what we gain/lose from selling Satan our soul. If Satan has our soul, do you mean he is in control of our lives? Or control us in the afterlife? Or we die? Idk, it's not very clear. If we define a soul as the spiritual or immaterial part of a human being or animal, then we no longer remain in our bodies once Satan has bought our soul. Therefore, it is beneficial at a point where we cannot do anything with our physical body (if it is dying, trapped imprisoned ect). But then what does Satan wish to do with our souls? No clue. Is it better off living in our bodies or being owned as immaterial beings by Satan?