A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29.
Pick:  A) 5  B) 4  C) 1  D) 0  E) can not be determined

Rationale: "sol . ( a ) number = 899 q + 63 , where q is quotient = 31 × 29 q + ( 58 + 5 ) = 29 [ 31 q + 2 ] + 5 ∴ remainder = 5 answer a"
Answer: A