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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Question : The number 5769116 is divisible by which of the following numbers?
Option 1: 4
Option 2: 5
Option 4: 6
Question : The number 1254216 is divisible by which of the following numbers?
Option 1: 5
Option 3: 16
Option 4: 8
Question : Which of the following numbers is divisible by 11?
Option 1: 5214341
Option 2: 5648741
Option 3: 6598321
Option 4: 2378965
Question : $3^{50}+9^{26}+27^{18}+9^{28}+9^{29}$ is divisible by which of the following integers?
Option 1: 11
Option 3: 7
Option 4: 2
Question : How many numbers from 1 to 430 are divisible by 7 and 11 both?
Option 3: 9
Option 4: 7
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