An "Armstrong number" is an n-digit number that is equal to the sum of the nth powers of its individual digits. For example, 153 is an Armstrong number because it has 3 digits and 1^{3}+5^{3}+3^{3}=153. What is the digit k in the Armstrong number 1,6k4？

Five integers between 10 and 99, inclusive, are to be formed by using each of the ten digits exactly once in such a way that the sum of the five integers is as small as possible.What is the greatest possible integer that could be among these five numbers?

If the product of the integers w,x, y, and z is 770, and if1 < w < x < y < z, what is the value of w + z?

If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z-x?

If Whitmey wrote the decimal representations for the first 300 positive integer multiples of 5 and did not write any other numbers, how many times would she have written the digit 5?

Of the following, which is greatest?

How many positive integers n have the property that both 3n andn/3 are 4-digit integers?

The difference 942-249 is a positive multiple of 7. If a, b, and c are nonzero digits, how many 3-digit numbers abc are possible such that the difference abc - cba is a positive multiple of 7?

A merchant purchased a jacket for $60 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant's gross profit on this sale?

Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W?