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If X and Y are two multiples of 11 then which of the following statement is incorrect? Statement 1: √XY is divisible by 121 Statement 2: √X + Y is divisible by 11 Statement 3: √X/Y is divisible by 11

If X and Y are two multiples of 11 then which of the following statement is incorrect? Statement 1: √XY is divisible by 121 Statement 2: √X + Y is divisible by 11 Statement 3: √X/Y is divisible by 11 Correct Answer All statements are incorrect

Given:

X and Y is multiple of 11

Concept Used:

If the number is a multiple of given number, then the number is also divisible by the given number

Calculation:

It is given in the question that X and Y are multiples of 11

∴ X = 11a and Y = 11b

Now, let check first statement √XY is divisible by 121

∴ √XY = √11a × 11b = 11 √XY, which is divisible by 11 but not necessarily by 121

Now, let check second statement √X + Y is divisible by 11

∴ √X + Y = √11a + 11b = √11(a + b), which is not divisible by 11

Now, let check third statement √X/Y is divisible by 11

∴ √X/Y = √11a/11b = √(a/b), which is not divisible by 11

So, all three statements are incorrect

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