A no. leaves a remainder 3 on division by 14, and leaves a remainder k on division by 35. How many possiblevalues can k take?	Pick
A) 3
B) 5
C) 8
D) 9
E) 10
A number leaves a remainder of 3 on division by 14, or it can be written as 14n + 3   On division by 70, the possible remainders can be 3, 17 (3 + 14), 31 (3 + 28), 45 (3 + 42), or 59 (3 + 56). The number can be of the form   70n + 3   70n + 17   70n + 31   70n + 45   70n + 59   Now, we need to divide this number by 35   70n + 3 divided by 35, the remainder will be 3.   70n + 17 divided by 35, the remainder will be 17.   70n + 31 divided by 35, the remainder will be 31.   70n + 45 divided by 35, the remainder will be 10.   70n + 59 divided by 35, the remainder will be 24.   On division by 35, the possible remainders are 3, 17, 31, 10 or 24. There are 5 possible remainders   Correct Answer: 5   5
<result>B</result>
A no. leaves a remainder 3 on division by 14, and leaves a remainder k on division by 35. How many possiblevalues can k take?