Q18 of 42 Page 156

What is the smallest number you have to add to 100000 to get a multiple of 1234?

For the smallest number that needs to be added to 100000 to get multiple of 1234, we need to divide 100000 by 1234.

So, let us represent in division form,


100000 = (1234 × 81) + 46


By dividing 100000 by 1234, we get


Quotient = 81


Remainder = 46


Now, we need to find [Divider – Remainder] value,


Divider – Remainder = 1234 – 46


Divider – Remainder = 1188


Now, add 1188 to 100000, then divide by 1234.


100000 + 1188 = 101188


Now,


Thus, the smallest number need to be added to 100000 to get multiple of 1234 is 1188.


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