If 25x8913 is divisible by 3, where x is single digit odd number and y – x = 1, then find the value of √(2xy). Options 2 √15 4 √15 3 √15 7 √15

First, we need to know that a number is divisible by 3 if the sum of its digits is divisible by 3.

The sum of the digits in the number 25x8913 is 2 + 5 + x + 8 + 9 + 1 + 3 = 28 + x.

For 28 + x to be divisible by 3, x must be 1 or 4 or 7. But the question states that x is an odd number, so x cannot be 4. Therefore, x must be 1 or 7.

The question also states that y - x = 1. If x is 1, then y must be 2. But y cannot be 2 because y is an odd number. Therefore, x must be 7 and y must be 8.

Finally, we need to find the value of √(2xy). Substituting x = 7 and y = 8, we get √(278) = √(112) = 4 √7.

But this is not one of the options. There seems to be a mistake in the question or the options.