Question

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

Answer 1

ans is 797,

If you need of remainder 35, while dividing a number by 460. The Unit place of that number must be 5. So 5678+797= 6475
6475/460 gives reminder 35

Answer 2

Answer:

The required number is 337.

Step-by-step explanation:

To find : Which number must be added to 5678 to give a remainder of 35 when divided by 460?

Solution :

The dividend = 5678

The divisor = 460

The Remainder = 35

We know, $\text{Dividend} = \text{Divisor}\times \text{Quotient} + \text{Remainder}$

$5678+x=460\times y+35$

We assume y=13 because 5678 divide by 460 is 12.34 mean 5678 is completely divisible by 460 into 12.

For remainder to be 35 we need to multiply 460 by 13.

$5678+x=460\times 13+35$

$5678+x=5980+35$

$5678+x=6015$

$x=6015-5678$

$x=337$

Therefore, The required number is 337.