How many numbers between 1 and 1000, inclusive have an odd number of factors?
If R = 1! + 2! + 3! …. 199!, what is the units digit of R?
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What is the greatest value of n such that 30!/6^n is an integer?
Which of the following is the smallest value of n such that n/420 is a terminating decimal?
The average (arithmetic mean) of five consecutive integers is an odd number. Which of the following must be true?
I. The largest of the integers is even.
II. The sum of the integers is odd.
III. The difference between the largest and smallest of the integers is an even number.
On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
If N is a positive integer and 14N/60 is an integer. What is the smallest Value of N for which N has exactly four different prime factors.?
If x is a positive integer and 3x + 2 is divisible by 5, then which of the following must be true?
If the least common multiplier of positive integers A and B is 120 and the ratio of A and B is 3:4, what is the largest common divisor of A and B?
Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ?