1. There is a three digit number. The sum of the digits is 17, and two of the digits are the same. The unique digit subtracted from one of the other digits equals a positive even number. What is the digit that is different from the other two digits? Answer: (digit)

2. Which one of these statements is true? Statement 1: The sum of the false statements is 8 Statement 2: This statement is true Statement 3: Statement 1 is true Statement 4: Statement 2 is false Statement 1 Statement 3 Statement 4 Statement 2

3. Kate's house is 1 mile away from Connor's house. Both of them begin jogging toward the other one's house. Connor jogs at 5 miles an hour, and Kate jogs at 6 miles an hour. After 6 minutes, who is the closest to Connor's house? Connor Kate They are the same distance away and are at the same spot They are the same distance away, but they are at different spots

4. The difference of two numbers is twice their sum and half their product, what is the product of the two numbers? The answer is not negative. Answer: (Numeral)

5. The sum of a two-digit number's digits equals a third of the number. The number is not 0. What is the two digit number? Answer: (Numeral)

6. There is a two-digit number that is a multiple of 11. If you take one of the digits and double it, then multiply that two-digit result by the original number, you will have a different number. Remove the digits that are square numbers from the new number, and you will have the original number. What is the number? 99 77 55 33

7. Which statement is absolutely true? There can be any number of false statements. Statement 1: The sum of the true statements equals 5 Statement 2: Statement 3 is true Statement 3: Statement 2 is true Statement 4: Statement 2 is false Statements 2 & 3 Statement 4 Statements 4 & 1 Statement 1

8. Joe can crush 20 cans in a minute, Chris can crush 30 cans in a minute, and Sam can crush 40 cans in a minute. Sam and Chris need to crush 150 cans in two minutes, so they ask Joe to help. What is the shortest time Joe can work, but still have Sam and Chris finish all 150 cans in 2 minutes? 30 seconds 10 seconds 8 seconds 15 seconds

9. There are four perpendicular pathways, which are all 1 mile long. Rafael stands at the north pathway, Joe stands at the east pathway, Tito stands at the west pathway, and Captain Cannon stands at the south pathway. All of them start running at the same time and will eventually meet in the middle. Tito runs at 7 miles an hour, Captain Cannon and Rafael both run at 8 miles an hour, and Joe runs at 6 miles an hour. After 6 minutes of running, who will be the closest to Rafael? Tito Joe Captain Cannon Some guy who is half a mile away from Rafael after 6 minutes

10. Emily and Natalie stand at opposite corners of a square-shaped track. Emily runs at 6 miles an hour, and Natalie runs at 8 miles an hour. Each side of the track is half a mile, and both girls begin running clockwise at the same time. How long will it take for Natalie and Emily to both be at the same point? 15 minutes 22:30 minutes 7:30 minutes 30 minutes