1.

Which of the following statement is\are correct regarding the number x1001y?Statement 1: If the value of x and y is 1 then it is divisible by 11Statement 2: The divisibility by even number is dependent on YStatement 3: The divisibility by 3 is dependent on X and Y both1. Statement I and III2. Only Statement I3. Statement II and III4. All statements

Answer» Correct Answer - Option 4 : All statements

Given:

The given number is x1001y

Concept Used:

Divisibility rule

Calculation:

By the first statement, If the value of x and y is 1 then it is divisible by 11

∴ The number is 110011 which is divisible by 11

So, statement 1 is correct

By the second statement, the divisibility by even number is dependent on Y

∵ The divisibility by even number is checked by the last digit of the number

∴ The Y must be even to divide the whole digit by an even number

So, statement 2 is correct

By the third statement, the divisibility by 3 is dependent on X and Y both

∵ The divisibility by 3 is checked by the sum of all digits

So, statement 3 is correct

Hence, option (4) is correct



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