What Is The Smallest Positive Integer That Leaves A Remainder Of 1 When Divided By 2, Remainder Of 2 When Divided By 3, A Remainder Of 3 When Divided By 4, And A Remainder Of 9 When Divided By 10? Choices:
A) 58	B) 59	C) 60	D) 61	E) 62
remainder of 1 when divided by 2: (2-1=1)   remainder of 2 when divided by 3: (3-2=1)   remainder of 3 when divided by 4: (4-3=1)   remainder of 9 when divided by 10: (2-1=1)   so N+1 should be divisible by 2,3,4,10   (where N is desired number)   L.C.M. of 2,3,4,10 = 60 (= N+1)   N = 59   ANSWER:59
<result>B</result>
What Is The Smallest Positive Integer That Leaves A Remainder Of 1 When Divided By 2, Remainder Of 2 When Divided By 3, A Remainder Of 3 When Divided By 4, And A Remainder Of 9 When Divided By 10?