Test: Min/Max Problems - GMAT MCQ

There are 101 students in a school. The students are split into 3 teams. Team A contains 70 students, team B contains 75 students and team C contains 80 students. What is maximum number of students who can be present in all three teams?

A room 5.44 m long and 3.74 m broad is to be paved with square tiles. The least number of square tiles required to cover the floor is:

A set of 5 numbers has an average of 50. The largest element in the set is 5 greater than 3 times the smallest element in the set. If the median of the set equals the mean, what is the largest possible value in the set?

The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 65, what is the least possible value of one of the other two integers?

In a group of 62 children, more of the children were born on a Friday than on any other day of the week. What is the least possible number of children in the group who were born on a Friday?

A carpenter has to build 71 wooden boxes in one week (7 days). He can build as many per day as he wants but he has decided that the number of boxes he builds on any one day should be within 4 off the number he builds on any other day. What is the greatest number of boxes that he could have build on Saturday?

Tom purchased a total of $5000 worth of traveler’s checks in $50 and $100 denominations for his vacation. During his vacation Tom cashed 14 checks and then lost all the rest. If the number of $50 checks cashed was two more or two less than the number of $100 checks cashed, what is the maximum possible value of checks that were lost?