Question

replace * by the smallest number so that the given number is divisible by the number mentioned :
817*67 by 11

Answer 1

2 is the number. then 817267÷11=74297

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Answer 2

Answer:

smallest number that can replace * in a number is 2

Step-by-step explanation:

817*67 by 11

Find the value of *

The complete number must be divisible by 11, so we can apply divisibility rule of 11 to find out the smallest number.

A number is said to be divisible by 11 if the difference of the sum of its even place and odd place is 0 or 11 or multiple of 11

817*67

Sum of even places = 1 + * + 7

Sum of odd places = 8 + 7 + 6 = 21

Difference = ( 21 - (8 + *)

= 13 - * = 0 or 11

13 - * = 11

* = 2

Hence the smallest number that can replace * in a number is 2