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Which digits should come in place of and if the number 62684 is divisible by both 8 and 5?

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Daniellloyd686 ∙

Lvl 1
∙ 8y ago
Updated: 4/28/2022

Sol.

Since the given number is divisible by 5, so 0 or 5 must come in place of $. But, a

number ending with 5 is never divisible by 8. So, 0 will replace $.

Now, the number formed by the last three digits is 4*0, which becomes divisible by 8, if

* is replaced by 4.

Hence, digits in place of * and $ are 4 and 0 respectively.

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∙ 8y ago
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Which digits should come in place of and if the no 62684 is divisible by both 8 and 5?

For a number to be divisible by both 8 and 5 then : 1) the final digit must be zero (as a multiple of 5 ending in 5 is not divisible by 8) 2) As 1000 is divisible by 8 then only the last 3 digits of the number need to be checked to confirm if it is divisible by 8. 680 ÷ 8 = 85. Therefore the number has to be changed to 62680 to be divisible by both 8 and 5. Therefore, replace the digit 4 in 62684 with 0.


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