When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 14?
Choose the correct answer
A) 7  B) 21  C) 34  D) 8  E) 55
So the number given is N = 143Q + 45   If this number is divided by 13, the remainder would be R[(143Q + 45)/13]   Since 143 is divisible by 13 , the product 143Q gives no remainder   This means the remainder of 45/13 should be the remainder of the entire number N   which is 6   To make it divisible by 13 , the smallest number that can be added = 14 - 6= 
<gadget id="calculator">14 - 6</gadget>
<output>8</output>
8   Correct Option : 8
<result>D</result>
When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 14?