A number of the form 5834*24 is divisible by
8. The lowest possible value of * is
Answers
Answer :
The given number is 5834*24
Let, * be the x ,
the number become 5834x24
=> Divisibility rule of 8 : alternate adding and subtracting the digits , and if the result is multiple of 8 , then the original number is the multiple of 8.
=> ( 5 + 3 + x + 4 ) - ( 8 + 4 + 2 )
= x -2
=> x - 2 = 8
=> x = 10
=> 10 is the least value must be given to * so that the number 583424 is divisible by 8
Answer:
The lowest possible value of * is 0.
Given:
a number 5834*24
To find:
The lowest possible value of *
Solution:
the divisibility rule of 8:
if the last three digits of a number are divisible by 8, then the entire number is divisible by 8.
to find the lowest possible value of *, we need to substitute the values in 5834*24 in increasing order.
- putting the smallest number in place of *, i.e. 0
let 5834024 be divisible by 8.
now since 024 is divisible by 8, therefore, 5834024 will also be divisible by 8.
5834024 / 8 = 729,253.
Hence, 0 is the lowest possible value of *.
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