All numbers which are divisible by 4 must also be divisible by 8. (True or False)

True

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False

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Solution

The correct option is B False
Let us take some numbers that are divisible by $4$ and check whether they are divisible by $8$ or not
For example: $36$ is divisible by $4$ but is not divisible by $8$
Similarly, $12, 20, 28$ are divisible by $4$ but are not divisible by $8$
Hence, the given statement is False.

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Similar questions

All numbers divisible by 4 must also be divisible by 8 and all numbers divisible by 8 must also be divisible by 4

Choose the correct option regarding the accuracy of the given statements:
Statement 1: All numbers divisible by 4 must also be divisible by 8
Statement 2: All numbers divisible by 8 must also be divisible by 4

If a number is divisible by 10, then it must also be divisible by 2. State true or false.

Question 85

In the following question, state whether the given statement is true (T) or false (F).
All numbers which are divisible by 4, may not be divisible by 8.

Question 1

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.
(c) If a number is divisible by 18, it must be divisible by both 3 and 6.
(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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All numbers which are divisible by 4 must also be divisible by 8. (True or False)

The correct option is B FalseLet us take some numbers that are divisible by 4and check whether they are divisible by 8 or notFor example: 36 is divisible by 4 but is not divisible by 8Similarly, 12,20,28 are divisible by 4 but are not divisible by 8Hence, the given statement is False.