Logic Problems
One and a half Brandons create one and a half math problems in a day and a half. How many problems can Brandon create in a day?
2/3 of a problem
10 SECONDS TO ANSWER
i101
i
Find the units digit of 3^88 * 7^87
3
What's the sum of 1+2+3+4+...+200?
20100
After failing his math test, Brandon is desperate to bring his grade back up to an A. On his last 7 tests, Brandon has gotten a 98,97,98,99,100,94, and a 59 (sadly on the most recent test). What does Brandon need on his next test to get an A? (92.5 is an A)
95
‘There are two numbers, each between 1 and 20. The sum of the two numbers is given to Person A, and the product of the two numbers is given to Person B. Person A told Person B that he didn’t know what the two numbers were, and Person B said that he didn’t know either. With that, Person A said that he knew the answer now, and Person B replied that he knew the answer too.
‘What are the two numbers?'
(2,2)
15 SECONDS TO ANSWER
For real numbers x and y, define x🥥y = (x +y)(x-y). What is 3🥥(4🥥5)?
-72
11111^2+2468
123456789
1
11
21
1211
111221
312211
Brandon knows the answer
After failing to convince Brandon to put number theory problems in his Jeopardy, Ian decides that in his senior year he will make 128 number theory-themed Jeopardies everyday until the end of time. Unfortunately, Ian loses motivation and on the second day makes 64 jeopardies and 32 on the next day. On the 31st day, Ian only makes 0.000000009% of a Jeopardy. After an infinite amount of time, how many has he made?
256
Brandon is delivered exactly 508 hamster plushies on 2:00 PM on Saturday, September 9th. He plans to start selling the hamster plushies on 2:00 PM on Sunday, September 10th. However, The Big Fat Hamster hates his name and decides to mix in a plushie of himself in with the set of 508 plushies. Whoever plays with the Fat Hamster plushie must equal three kilos of hamster-feed 1:59 PM on Sunday. Brandon wants to thwart the Hamster's evil plan and hires nine of his brothers who are very willing to consume hamster feed. How can Brandon organize his brothers to find the Fat Hamster plushie before the plushie begin being sold?
Ask Brandon
15 SECONDS TO ANSWER
Is (13^8+9^12)>(12^9+8^13)
No
What is the largest prime factor of 2310?
11
In the sequence 2001,2002,2003,..., each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is 2001+2002-2003=2000. What is the 2004th term in this sequence?
0
At Newark Academy, 198 students voted on two issues in a school referendum with the following results: 149 voted in favor of the first issue and 119 voted in favor of the second issue. If there were exactly 9 students who voted against both issues, how many students voted in favor of both issues?
79
One day, in a gathering of top scientists, one of them wondered out loud whether there exists an integer that you could exactly double by moving its last digit to its front. For instance, 265 would satisfy this if 526 were its exact double—which it isn’t.
Bob the Builder responded, “Of course there is, but the smallest such number has 18 digits.”
So given Dr. Builder's hint, what is the smallest such number?
105263157894736842.
YOU HAVE 60 SECONDS TO ANSWER THIS PROBLEM
After failing to get his last accounting job, Brandon's got another chance to make it big as a cow rancher. To get the job he's got to help his boss navigate the confusing web of cryptocurrency. If five fluxins equal 17 finches, 3 finches equal 11 flummoxes, 51 flummoxes equal 2 fiji dollars. How many fiji dollars is 21 fluxins worth?
154/15 fiji dollars
What is the largest prime number less than 100 that is the sum of two other primes?
73
Create a sequence that only contains these numbers:
{4, 19, 44, 79, 124}
5x^2 - 1
Brandon is a herder of anti-cows and cows (each anti-cow counts as a -1 cow). When an anti-cow and a cow meet they disintegrate into steak. Everyday, his herd of anti-cows multiplies by 3 and his herd of cows multiplies by 2. If his farm ends with 10 anti-cows and 10 cows on Day 1, after a week (if the cows and anti-cows all form a pair if possible at the end of the week and disintegrate) how many total cows (each anticow remaining counts as -1 cow) does Brandon have?
-6650 cows or 6650 anticows
外婆 plans to cook and sends her two grandkids Brandon and Alexander to go fetch rice for her to stir-fry. Both brothers visit a silo with 200 bags all placed on individual scales and lined up. Each take turns taking one bag of grain from the line of bags. The one who picks the bags with the most weight wins. Brandon picks his bag first. How can he always win?
Ask Brandon
60 SECONDS TO ANSWER
Sophia has a farm with chicken and sheep. She counts 436 legs in her farm. How many animals are there?
141
Let a, b, and c be real numbers such that a-7b+8c=4 and 8a+4b-c=7. Then b^2-a^2-c^2 is
-1
Prove Ian's imposing, inspiring, innovative formula: If a is an integer, p is a prime number and a is not divisible by p, then a(p-1)mod p = 1...
Okay not really. But, find n if 1335+1105+845+275= n5
n is 144
Brandon is in debt. Heavy debt.
After running his old fertilizer business into the ground, he's got no money left to spend. Currently, he owes 100000 dollars. His bank offers him a chance to pay next year with interest only if he solves a math problem. If 4^a = 5, 5^b =6, 6^c = 7, and 7^d = 8. a*b*c*d in % is the amount of interest he has to pay. How much will Brandon owe next year?
150000$