Divisibility

A number is divisible by 6 if it is divisible by

Which of the following statements are true? If a number divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number id divisible by 8,it must be divisible by 4. A number is divisible by 18, if it is divisible by both 3 and 6. If a number divisible by both 9 and 10, it must be divisible by 90.

If a number is divisible both by 2 and 3, then it is divisible by 12.

If a number is divisible by 2 and 3, then it is also divisible by 6.

The number 311311311311311311311 is neither divisible by 3 nor by 11 divisible by 11 but not by 3 divisible by 3 but not by 11 divisible by both 3 and 11

Property 1 If a number is divisible by another number then it is divisible by each of the factors of that number.If abc are three natural numbers such that a is divisible by b and b is divisible by c then a is divisible by c also.

Which of the following statements are true? If a number is divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

Assertion: The number 9020814' is divisible by 11. Reason: A number is divisible by 11, if the sum of its digits is divisible by 11.