Question : The number 2918245 is divisible by which of the following numbers?
Option 1: 3
Option 2: 11
Option 3: 12
Option 4: 9
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Correct Answer: 11
Solution :
Given number = 2918245
Divisibility rule for 3: A number is completely divisible by 3 if the sum of its digits is divisible by 3.
Here, 2 + 9 + 1 + 8 + 2 + 4 + 5 = 31, which is not divisible by 3
⇒ The given number will not be divisible by 12 and 9 either.
Divisibility rule for 11: The difference between the sum of digits at the odd position and the sum of digits at the even position in a number is 0 or 11.
⇒ (2 + 1 + 2 + 5) – (9 + 8 + 4)
= 10 – 21
= –11, which is divisible by 11.
Hence, the correct answer is 11.
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