Question 3
If the 11-digit number 5678x43267y is divisible by 72, then the value of $$\sqrt{5x + 8y}$$ is:
Solution
11-digit number 5678x43267y is divisible by 72.
It will be divisible by 9 and 8.
For the divisiblity by 8,
67y divisible by 8.
So value of y = 2
For the divisiblity by 9,
(5+6+7+8+x+4+3+2+6+7+y = 50 + x) divisible by 8.
So value of x = 54 - 50 = 4
$$\sqrt{5x + 8y}$$
= $$\sqrt{5\times 4 + 8\times 2}$$
= $$\sqrt{36}$$ = 6
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