I notice that the remainders are always one less than the divisors, so I suspect that the number I'm looking for is one less than a multiple of 2, 3, 4, and 5. The least common multiple of 2, 3, 4, and 5 is 60, so I try 60 - 1 = 59. When I divide 59 by 2, I get a remainder of 1, as expected. When I divide 59 by 3, I get a remainder of 2, as expected. When I divide 59 by 4, I get a remainder of 3, as expected. When I divide 59 by 5, I get a remainder of 4, as expected. Therefore, 59 is the least positive integer that satisfies all the conditions.


What is the least positive integer that satisfies the following conditions?

a) When divided by 2, the remainder is 1.

b) When divided by 3, the remainder is 2.

c) When divided by 4, the remainder is 3.

d) When divided by 5, the remainder is 4.