A number is divisible by 27 if it is divisible by both 3 and 9. True or false ?

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Solution

$When a number is divisible by 27, then it must be divisible by 3 and 9 . The given statement is true .$

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Question 81

In the following question, state whether the given statement is true (T) or false (F).

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

Q. Write (T) for true and (F) for false against each of the following statements:
(i) If a number is divisible by 4, it must be divisible by 8.
(ii) If a number is divisible by 8, it must be divisible by 4.
(iii) If a number divides the sum of two numbers exactly, it must exactly divide the numbers separately.
(iv) If a number is divisible by both 9 and 10, it must be divisible by 90.
(v) A number is divisible by 18 if it is divisible by both 3 and 6.
(vi) If a number is divisible by 3 and 7, it must be divisible by 21.
(vii) The sum of two consecutive odd numbers is always divisible by 4.
(viii) If a number divides two numbers exactly, it must divide their sum exactly.

Q. State true or false:

If a number is divisible by

3

, it must be divisible by

9

Question 84

In the following question, state whether the given statement is true (T) or false (F).
If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.

Q. Which of the following statements are true?

(i) If a number is divisible by 3, it must be divisible by 9.
(ii) If a number is divisible by 9, it must be divisible by 3.
(iii) If a number is divisible by 4, it must be divisible by 8.
(iv) If a number is divisible by 8, it must be divisible by 4.
(v) A number is divisible by 18, if it is divisible by both 3 and 6.
(vi) If a number is divisible by both 9 and 10, it must be divisible by 90.
(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
(viii) If a number divides three numbers exactly, it must divide their sum exactly.
(ix) If two numbers are co-prime, at least one of them must be a prime number
(x) The sum of two consecutive odd numbers is always divisible by 4.

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A number is divisible by 27 if it is divisible by both 3 and 9. True or false ?

When a number is divisible by 27, then it must be divisible by 3 and 9.The given statement is true.

$When a number is divisible by 27, then it must be divisible by 3 and 9 . The given statement is true .$