There is a number 8*20 which if multiplied by 6, the product is divisible by 8. the digit replacing * mark is?
Answers
* can take any digit if 8*20 multiplied by 6, Divisible by 8
Step-by-step explanation:
There is a number 8*20 which if multiplied by 6,
=> 8N20 * 6
= ABC20
where C is unit digit of 6N + 1
product is divisible by 8.
=> ABC20 is divisible by 8
Divisibility rule of 8 - last 3 digits sould be divisible by 8
C20 Divisible by 8
Hence C can be
1 , 3 , 5 , 7 , 9
6N + 1 unit Digit will be
1 if N = 0 , 5
3 if N = 2 , 7
5 if N = 4 , 9
7 if N = 1 , 6
9 if N = 3 , 8
Hence all Digits are possible
So N or * can take any digit
Another way
8*20 multiplied by 6 and divided by 8
= 6/8
= 2 * 3 /(2 * 4)
= 3 / 4
Hence if 8*20 is divisible by 4 then multiplied by 6 wouls also be divisible by 8
8*20 is divisible by 4 as 20 is divisible by 4
Hence * can take any digit
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