Question
In the number 862x4, if it is divisible by 56 and x > 5,
then what is the value of x?Solution
ATQ,
Check divisibility by 8 using last 3 digits: 2x4
Try x = 0 ⇒ 204 ÷ 8 = 25.5 (not divisible)
Try x = 3 ⇒ 234 ÷ 8 = 29.25 (not divisible)
Try x = 6 ⇒ 264 ÷ 8 = 33 (divisible)
Try x = 8 ⇒ 284 ÷ 8 = 35.5 (not divisible)
So only x = 6 makes it divisible
Since x > 5,
x = 6
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