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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 |
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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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