The number of integers x such that 0.25 < 2x < 200, and 2x +2 is perfectly divisible by either 3 or 4, is
How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?
Let A be the largest positive integer that divides all the numbers of the form 3k + 4k + 5k, and B be the largest positive integer that divides all the numbers of the form 4k + 3(4k) + 4k+2, where k is any positive integer. Then (A + B) equals
For some natural number n, assume that (15,000)! is divisible by (n!)!. The largest possible value of n is
For any natural numbers m, n, and k, such that k divides both m + 2n and 3m + 4n, k must be a common divisor of