Unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5. Choose exact number of cubes that can completely fill the box.  Choose the correct choice from the following answers
A) 750
B) 850
C) 950
D) 1050
E) none of the above

Rationale: let the dimensions of the box be , length = 5 * a , breadth = 5 * ( a + 1 ) , height = 5 * ( a + 2 ) hence , volume = 5 * 5 * 5 * a * ( a + 1 ) * ( a + 2 ) among any 3 consecutive positive integers , we will either have ( a number that is divisible by both 23 ) or ( a number divisible by 2 and another number divisible by 3 ) . volume = multiple of ( 125 * 2 * 3 ) 750 = 125 * 2 * 3 answer : a
Answer: A