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Magoosh	n is a positive integer, and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1440, then the smallest possible value of n is
Magoosh	The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
Magoosh	For the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?
Magoosh	P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 3), the remainder is also D. If $$\frac{P}{Q}$$ = 1020.75 and$$\frac{ P}{(Q + 3)}$$ = 816.6, then which of the following gives the correct set of {D, Q}?
Magoosh	A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform k calculations?
Magoosh	Noelle walks from point A to point B at an average speed of 5 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 6 kilometers per hour?
Magoosh	Sid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Sid have meant to type?
Magoosh	On a long drive, a truck covered P percent of the total distance on local road, where it drove only 30 mph. The rest of the trip, it traveled at 50 mph. In terms of P, which of the following represents the average velocity of the entire trip?
Magoosh	A container holds 4 quarts of alcohol and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume?
Magoosh	Every day at noon, a bus leaves for Townville and travels at a speed of x kilometers per hour. Today, the bus left 30 minutes late. If the driver drives 7/6 times as fast as usual, she will arrive in Townville at the regular time. If the distance to Townville is 280 kilometers, what is the value of x?
Magoosh	Set X consists of 100 numbers. The average (arithmetic mean) of set X is 10, and the standard deviation is 4.6. Which of the following two numbers, when added to set X, will decrease the set’s standard deviation by the greatest amount?
Magoosh	How many odd, positive divisors does 540 have?
Magoosh	2600 has how many positive divisors?
Magoosh	Last year, the price per transaction of certain company increases P percent from the year before, and the number of transactions increase N percent from the year before. Total revenue is simply the number of transactions times the price per transaction. Assume this one transaction is this company's only source of revenue. Which of the following is the percent increase in revenue last year, from the year before?
Magoosh	A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ball?
Magoosh	For all numbers a and b, the operation is defined by$$a\oplus b = a^{2} - ab. If xy \neq 0$$, then which of the following can be equal to zero?I. $$x\oplus y$$II. $$xy\oplus y$$III. $$x\oplus (x + y)$$
Magoosh	There are 10 employees in an office, not counting the office manager. The table shows how many employees have 0, 1, 2 or 3 pets. If the office manager also were included in the table, the average (arithmetic mean) number of pets per person would equal the median number of pets per person. How many pets does the office manager have?
Magoosh	If an object travels 100 feet in 2 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Magoosh	A: {71,73,79,83,87} B:{57,59,61,67}If one number is selected at random from set A, and one number is selected at random from set B, what is the probability that both numbers are prime?
Magoosh	Six children—A, B, C, D, E, and F—are going to sit in six chairs in a row. Child E must be somewhere to the left of child F. How many possible configurations are there for the children?