Write the contrapositive of the following statement "If a number is divisble by 9, then it is divisible by 3"

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Solution

Contrapositive of a statement means if p then q is if not q then not p.

Hence contrapositive of the statement "If a number is divisible by 9, then it is divisible by 3" is
If a number is not divisible by 3, then it is not divisible by 9.

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Similar questions

Write the contrapositive of the statement. 'If a number is divisible by 9, then it is divisible by 3,?

Write down the converse and contrapositive of the following:

If a positive integer n is divisible by 9, then the sum of its digits is divisible by 9.

x + 3 = 9

x = 6

Write the contrapositive of the following statement.
'If x is prime number, then x is odd'.

Which of the following statements are true?

(a) If a number is divisible by 3, it must be divisible by 9.

(b) If a number is divisible by 9, it must be divisible by 3.

(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.

(e) If two numbers are co-primes, at least one of them must be prime.

(f) All numbers which are divisible by 4 must also be divisible by 8.

(g) All numbers which are divisible by 8 must also be divisible by 4.

(h) If a number exactly divides two numbers separately, it must exactly divide their sum.

(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

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