Question

Suppose that R, S and T are digits and that N is the four-digit positive integer 8RST. That is, N has thousands digit 8, hundreds digit R, tens digits S, and ones (units) digit T , which means that N = 8000 + 100R + 10S + T . Suppose that the following conditions are all true:
• The two-digit integer 8R is divisible by 3.
• The three-digit integer 8RS is divisible by 4.
• The four-digit integer 8RST is divisible by 5.
• The digits of N are not necessarily all different.
The number of possible values for the integer N is

Answer 1

Answer:

Suppose that R, S and T are digits and that N is the four-digit positive integer 8RST. That is, N has thousands digit 8, hundreds digit R, tens digits S, and ones (units) digit T , which means that N = 8000 + 100R + 10S + T . Suppose that the following conditions are all true:

• The two-digit integer 8R is divisible by 3.

• The three-digit integer 8RS is divisible by 4.

• The four-digit integer 8RST is divisible by 5.

• The digits of N are not necessarily all different.

The number of possible values for the integer N is.