Question : An 11-digit number 7823326867X is divisible by 18. What is the value of X?
Option 1: 6
Option 2: 4
Option 3: 8
Option 4: 2
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Correct Answer: 2
Solution : Given: 7823326867X is divisible by 18. So, it is divisible by 2 and 9 as well. For it to be divisible by 2, X can be 0, 2, 4, 6, 8 Sum of digits = 52 + X For it to be divisible by 9, X can be 2 from the available options as 52 + X = 54, which is divisible by 9. Hence, the correct answer is 2.
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Question : A 9-digit number $846523X7Y$ is divisible by 9 and $Y - X = 6$. Find the value of $\sqrt{2X+4Y}$.
Question : If the 8-digit number 123456xy is divisible by 8, then the total possible pairs of (x, y) are:
Question : In a 7-digit number 89476*2, what is the smallest possible value of * such that the number is divisible by 8?
Question : If $x-\frac{1}{x}=5, x \neq 0$, then what is the value of $\frac{x^6+3 x^3-1}{x^6-8 x^3-1} ?$
Question : If the five-digit number 235xy is divisible by 3,7 and 11, then what is the value of (3x - 4y)?
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