A factory assembles Product X from three components, A, B, and C. One of each component is needed for each Product X and all three components must be available when assembly of each Product X starts. It takes two days to assemble one Product X. Assembly of each Product X starts at the beginning of one day and is finished at the end of the next day.The factory can work on at most five Product Xs at once. If components are available each day as shown in the table above, what is the largest number of product Xs that can be assembled during the three days covered by the table?

Which of the following describes the set of all possible values of the positive integer k such that, for each positive odd integer n, the value of ~$n \over k$~ is midway between consecutive integers?

The table above shows the number of residents in each of two age groups who support the use of each type of funding for a city initiative. What is the probability that a person randomly selected from among the 250 residents polled is younger than 40, or supports a type of funding that incudes a tax, or both?

Let S be the set of all positive integers having at most 4 digits and such that each of the digits is 0 or 1. What is the greatest prime factor of the sum of all the numbers in S?

If n=p²and p is a prime number greater than 5, what is the units digit of n²?

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 1³+5³+3³=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?