# If a number is divided by 223 the remainder is 79. If the same number is divided by 179 it gives a quotient 315. Find the remainder

 [ A ]    113 [ B ]    117 [ C ]    129 [ D ]    133
 Answer : Option A Explanation : Let the number be NThen,N=223k+79Again , 179x315=56385If 56385 is divided by 233,We get 252 as quotient and 189 as remainder.So,Reqd remainder = 79 +(223-189)=79+34=113