Question

If 42573k is divisible by 72 then what is the value of k?

Answer 1

42573k:- 72

72)42573k(5913

360

_______

657

648

__________

0093

72

______

21K

216

______

0000

hence k=6

Answer 2

If 42573k is divisible by 72, then value of k is 6

Solution:

Given that,

42573k is divisible by 72

To find: value of k

Divisibility rule of 72 : number must be divisible 9 and 8 both

k cannot be 1 , 3 , 5 , 7 , 9 , since unit digit cannot be odd in order to be divisible by 8

Now, we have

2 , 4 , 6 , 8

When, k = 2

425732 = 4 + 2 + 5 + 7 + 3 + 2 = 23 = not divisible by 9

When, k = 4

425734 = 4 + 2 + 5 + 7 + 3 + 4 = 25 = not divisible by 9

When, k = 6

425736 = 4 + 2 + 5 + 7 + 3 + 6 = 27 = divisible by 9

When, k = 8

425738 = 4 + 2 + 5 + 7 + 3 + 8 = 29 = not divisible by 9

Thus, the value of k must be 6

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