A five-digit positive integer is a "mountain number" if the first three digits are in ascending order and the last three digits are in descending order. For example, 35761 is a mountain number, but 32323 and 35655 are not. How many five-digit numbers greater than 70000 are mountain numbers?
The product of a set of distinct positive integers is 84. What is the least possible sum of these integers?
A five-digit perfect square in the form 33ab6 has a hundreds digit a and a tens digit b. What is the sum a + b?
Two circles and three straight lines lie in the same plane. If neither the circles nor the lines are coincident, what is the maximum possible number of points of intersection?
When Rachel divides her favorite number by 7, she gets a remainder of 5. What will the remainder be if she multiplies her favorite number by 5 and then divides by 7?
Harry has 3 sisters and 5 brothers. His sister Harriet has S sisters and B brothers. What is the product of S and B?
What is the ratio of the area of the shaded square to the area of the large square?
If a, b and c are digits for which
then a + b + c = ?
If 21998 -
21997 -
21996 + 21995 = k21995, what is the value of k?
For how many values of k is 1212 the L.C.M. of the positive integers 66, 88 and k?