Show Steps: Find the smallest positive integer x such that • x is divisible by 22 · 3 · 112; • x + 1 is divisible by 72; • x + 2 is divisible by 2 · 53; • x + 3 is divisible by 34 Solution This problem has no solution. If x is divisible by 22 · 3 · 112, then x must be even. If x+1 is divisible by 72, then x+1 is even. x and x+1 cannot both be even..