Question

Which of the following number divides 7386071?

• A. 4
• B. 9
• C. 11
• D. 3

Answer 1

Answer:

D. 3

For a number to divisible by 4, last two digits of the number should be divisible by 4. But 71 is not divisible by 4. Hence the number is not divisible by 4. For a number to be divisible by 3, the sum of the digits should be divisible by 3. But, 7+3+8+6+0+7+1=32 is not divisible by 3. Hence the number is not divisible by 3. For a number to be divisible by 9, the sum of the digits should be divisible by 9. But, 7+3+8+6+0+7+1=32 is not divisible by 9. Hence the number is not divisible by 9. For a number to be divisible by 11, the difference between the sum of digits in odd places and the sum of digits in even places should be either 0 or a number divisible by 11. (7+8+0+1) – (3+6+7) = 0, which is divisible by 11. Hence the number is divisible by 11.