What prime number is a factor of every four-digit palindrome?

(a)  

How many positive integers that contain each of the four digits 3, 4, 5 and 7 exactly once are multiples of 4?

(a)  

A wholesaler mixes cashews, almonds and peanuts in the ratio 2:3:4, respectively, by weight. How many kilograms of almonds will be needed to make 540 kg of this mixture?

(a)  

What is the sum of the odd numbers between 100 and 200?

(a)  

How many unique, six-character codes can be made using each of the characters A, B, C, 1, 2 and 3 exactly once?

(a)  

Sweet Tooth Candy Company has fixed costs of $300. Each kg of candy costs $1 to produce and is sold for $3. How many kg of candy must be sold so that the company has no profit and no loss?

(a)  

Brian ran the first 1000 m of a race in 250 seconds and the other 4000 m in 750 seconds. What was his average speed, in meters per second, for the entire race?

(a)  

If n* is defined as the product of all even factors of 2n, for all integers n, where n > 0, what is the value of 11*?

(a)  

During the first third of the basketball season, Selina scored an average of 12 points per game. What is the average number of points she must score per game for the remaining two thirds of the season so that her average points scored per game for the entire season is 14 points?

(a)  

What is the units digit of the product 1 × 3 × 5 × ... × 2015?

(a)  

What is the greatest possible product of three distinct positive integers that have a sum of 15?

(a)  

On average, Warren makes 20 deliveries for a restaurant in a six-hour shift. What is the minimum number of people, each making deliveries at the same rate as Warren, needed to make 20 deliveries for the restaurant per hour?

(a)  

If 4n is subtracted from 48 and the difference then is divided by 2n, the result is 10. What is the value of n?

(a)  

If the mean of the six integers 6, 2, 10, 5, 12 and y is 7, what is the value of y?

(a)  

The sum of one-fourth and five-eighths is equivalent to what common fraction?

(a)  

How many integers that contain each of the four digits 3, 5, 7 and 9 exactly once are prime?

(a)  

What is the remainder when the sum  $2015^3+2015^2+2015^1+2015^0$  is divided 
by 5?

(a)  

What is the greatest common divisor of 4! and 5! ?

(a)  

In one board game, each player has a unique 4 × 4 grid with squares randomly labeled with each integer from 1 to 16. As the integers 1 to 16 are randomly called, each player puts an “X” in the square containing that integer. The first player with an “X” in all four squares in any row, column or diagonal wins. At most, how many integers must be called to get a winner?

(a)