jennifer
jasper
lucia
julie
fisher
100

What is Jennifer's favourite colour?

blue.

100

What is Jasper's favourite thing to say when meeting someone for the first time?

Hello I am Jasper

100

If Lucia could commit any crime with no punishment, what crime would she do?

Theft

100

Gabby said the answer to a multiplication problem is a quotient. Melanny said the answer to a multiplication problem is a product. Who is correct?

Logan

100

What is Fisher's favourite type of cuisine?

Mexican

200

What is Jennifer's favourite movie?

Project Sekai Colorful Stage Featuring Hatsune Miku The Movie: Colorful Stage! The movie: A Miku Who Cant Sing

200

What is Jasper's zodiac sign? (Bonus points if you guess his birthday!)

Libra / October 19

200

What is Lucia's favourite card game?

Blackjack

200

What African country was formerly known as Zaire? 

The Democratic Republic of The Congo

200

If Fisher could be any animal, what would he be?

purple lizard

300

What's the first show Jennifer watched as a wee little lad?

Hello Kitty
300

What is Jasper's favourite food?

Shrimp
300
If Lucia could have any superpower, what would it be?

Teleportation

300

What are the names of Cinderella's stepsisters? 

Anastasia and Drizella

300
What is Fisher's least favourite genre of music?

Christian Rock

400

What area of China is Jennifer from?

Guangdong province/Southeast China

400

If Jasper had a billion dollars, what would they do with it?

hire an assassin to kill fisher 

400

What other countries outside the US has Lucia been to? (hint: europe)

None

400

Prove that (√2+ √3+ √5) is irrational

Start by saying that it is rational. That is, s is a rational number. Square it. s^2 is also rational.

s = (sqrt(2) + sqrt(3) + sqrt(5))

s^2 = 2 + 2 * sqrt(2) * (sqrt(3) + sqrt(5)) + (sqrt(3) + sqrt(5))^2

s^2 = 2 + 2 * sqrt(2) * (sqrt(3) + sqrt(5)) + 3 + 2 * sqrt(3 * 5) + 5

s^2 = 2 + 3 + 5 + 2 * sqrt(6) + 2 * sqrt(10) + 2 * sqrt(15)

s^2 = 10 + 2 * (sqrt(6) + sqrt(10) + sqrt(15))

(s^2 - 10) / 2 will also be rational, so we need to only focus on the remaining bit. If s was rational, then this remaining bit should also be rational. Call it a and do the same trick again.

a = sqrt(6) + sqrt(10) + sqrt(15)

a^2 = 6 + 2 * sqrt(6) * (sqrt(10) + sqrt(15)) + (sqrt(10) + sqrt(15))^2

a^2 = 6 + 2 * sqrt(60) + 2 * sqrt(90) + 10 + 2 * sqrt(150) + 15

a^2 = 6 + 10 + 15 + 2 * (2 * sqrt(15) + 3 * sqrt(10) + 5 * sqrt(6))

a^2 = 31 + 2 * (5 * sqrt(6) + 3 * sqrt(10) + 2 * sqrt(15))

a^2 = 31 + 2 * (2 * (sqrt(6) + sqrt(10) + sqrt(15)) + 3 * sqrt(6) + sqrt(10))

a^2 = 31 + 2 * (2a + 3 * sqrt(6) + sqrt(10))

(a^2 - 31) / 2 - 2a will also be rational, since a is rational. Now say that 3 * sqrt(6) + sqrt(10) = b and if our original assumptions were correct, then b must also be rational.

b = 3 * sqrt(6) + sqrt(10)

b^2 = 9 * 6 + 6 * sqrt(6) * sqrt(10) + 10

b^2 = 54 + 10 + 6 * sqrt(60)

b^2 = 64 + 6 * 2 * sqrt(15)

b^2 = 64 + 12 * sqrt(15)

(b^2 - 64) / 12 = sqrt(15)

Now we know that (b^2 - 64) / 12 should be rational if s was rational. So the real question here is this: Is sqrt(15) rational?

There are plenty of proofs online that demonstrate that sqrt(15) is irrational. So, because sqrt(15) is irrational, then that means we have our contradiction. And it goes all the way back to the assumption that s is rational. Since s is irrational, then sqrt(2) + sqrt(3) + sqrt(5) is also irrational.

400

If Fisher could go anywhere in the world, where would he go?

New Jersey/Cuba

500

How much money has Jennifer spent on Project Sekai?

~$319

500
What is Jasper's favourite number?

8,192

500

What is the strangest thing Lucia has ever eaten?

Bean boozled jellybean

500

What is Julie's favourite (country) flag? (3 answers so its a little easier)

Eswatini/Kenya/Grenada 

500

what is fishers blood type

green