## Q)). Which of the following numbers must be added to 5678 to give a remainder 35 when divided by 460?

a) 980

b) 618

c) 955

d) 797

Answers

Let the number added to 5678 be x to give a remainder 35 and quotient k when divided by 460.

Dividend = divisor × quotient + remainder

So, 5678 + x = 460k + 35

or, 5643 + x = 460k

So 5643 + x must be divisible by 460

Analyzing from the options, we get on adding **797** to 5643, the number 6440 is divisible by 460.