GMAT
If there are fewer than 8 zeros between the decimal point and the first nonzero digit in the decimal expansion of $$(\frac{t}{1000})^{4}$$, which of the following numbers could be the value of t?I. 3II. 5III. 9
When positive integer x is divided by positive integer y, the remainder is 9. If $$\frac x y=96.12$$, what is the value of y?
What is the smallest integer n for which $${25}^{n} >{5}^{12}$$ ?
For the positive integers a, b, and k, $$a^{k}$$ || b means that $$a^{k}$$ is a divisor of b, but $$a^{k +1}$$ is not a divisor of b. If k is a positive integer and $$2^{k}$$ || 72, then k is equal to
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which $$3^k$$ is a factor of p?
If $$n = 3^{8} - 2^{8}$$, which of the following is NOT a factor of n ?
Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
If 3 < x < 100, for how many values of x is $$\frac{x}{3}$$the square of a prime number?
if $$\frac{p}{q}$$<1, and p and q are positive integers, which of the following must be greater than 1 ?
If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be