Question

2. Which of the following numbers are divisible by 11? (a) 2101 (b) 32571 (c) 35064 (d) 20833

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Answer 1

The following numbers are divisible by 11:

(a) 2101

(b) 32571

EXTRA INFORMATION:

If the number of digits is even, add the first and subtract the last digit from the rest. The result must be divisible by 11.

MARK AS BRAINLIEST, IF IT HELPS.

Answer 2

Answer:

• 2101  - divisible by 11
• 32571 - divisible by 11
• 35064 - is not divisible by 11
• 20833 - is not divisible by 11

Step-by-step explanation:

Rule: The divisibility by 11 rule states that if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11.

• 2101  

       Sum of even place digit = 1 + 1 = 2

       Sum of odd place digit = 2 + 0 = 2

       Here Sum of even place digit = Sum of odd place digit

      So, 2101 is divisible by 11.

• 32571  

        Sum of even place digit = 2 + 7 = 9

         Sum of odd place digit = 3 + 5 + 1 = 9

        Here Sum of even place digit = Sum of odd place digit

        So, 32571  is divisible by 11.

• 35064  

         Sum of even place digit = 5 + 6 = 11

         Sum of odd place digit = 3 + 0 + 4 = 7

          Here Sum of even place digit ≠ Sum of odd place digit

          So, 35064 is not divisible by 11.

• 20833

         Sum of even place digit = 0 + 3 = 3

         Sum of odd place digit = 2 + 8 + 3 = 13

         Here Sum of even place digit ≠ Sum of odd place digit

        So, 20833 is not divisible by 11.