The mean of five positive integers is 5. The numbers have a single mode equal to 8 . What is the maximum possible value of the lowest term ?

A subset B of the set of first 100 positive integers has the property that no to elements of B sum to 125. What is the maximum possible number of elements in B?

The median of three positive integers, no two of which are equal is 5. What is the least possible value of the arithmetic mean of these integers ?

The average of five distinct integers is 60. If the largest integer is 70, what is the minimum possible value of the smallest integer ?

If a and b are integers and -4 le a le 3 and -4 le b le 5 , what is the maximum possible value for ab?

Suppose a, b are integers and a + b is a root of x^2 + ax + b = 0 . What is the maximum possible values of b^2 ?

A,B,C and D are four distinct positive integers lying between 1 and 5 both inclusive ,such that c +D = A and D - C = B . What is the maximum possible value of (A + B+ C+D) if none of the numbers is 4 ?

The mean of five numbers is 27. If one of the numbers is excluded, the mean gets reduced by 2. What is the value of the excluded number?

Five times of a positive integer is equal to 3 less than twice the square of that number. Find the number.