Arithmetic

Four friends, Charles, Mike, Brian, and John, went on a shopping trip. If Mike spent $400 more than Brian did, John spent $1200 less than Charles did, and Charles spent $400 more than Mike did, how many more dollars did Brian spend than John did?

a)$400

b)$600

c)$800

d)$1000

e)$1200

Number properties

Suppose x is a positive even number, all of whose digits are either 3 or 4. If x is also divisible by both 3 and 4, how many digits are in the smallest possible value of x?

a)Three

b)Four

c)Five

d)Six

e)Seven

Number properties

Suppose x is an integer such that (x ^ 2 −x−1)^ (x+2) =1 . How many possible values of x exist?

1

2

3

4

5

Probability

On a test, students receive 3 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one ques...

Arithmetic

In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles as shown below, Jenn needs to walk from the corner of 1st Street and 1st Avenue to the corner of 6th Street and 3rd Avenue. If her friend Amanda is sitting on a bench on 4th Street ha...

Arithmetic

If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 11 days. If he works at reduced efficiency, he can work without break and finish that same job in 11 days. Dale's output at reduced efficiency is what fraction of his output at ...

Hi, theceo,

how are you getting 15%? Should not it be 20% (1/5)?

That's what I thought. You divide any 1000 or 10000, if unit digit ends in zero, then the maximum way the quotient can be is 9 and then you add 2 which becomes 3.