State whether the following statement is True or False
All the numbers which are divisible by $4$ must also be divisible by $8$ .

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
Checking if a number is divisible by $4$ , then it is divisible by $8$ or not:
The multiples of $4$ which are not the multiples of $8$ are always not divisible by $8$
For example: $4, 12, 20, 28, 36, 44, 52, 60$ etc.
Hence, all the numbers which are divisible by $4$ may or may not be divisible by $8$ .
Hence, the given statement is False.

Suggest Corrections

Similar questions

State whether true or false:

If a number is divisible by 4, it must be divisible by 8.

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.

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

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.

Join BYJU'S Learning Program

State whether the following statement is True or FalseAll the numbers which are divisible by 4 must also be divisible by 8.

State whether the following statement is True or False
All the numbers which are divisible by $4$ must also be divisible by $8$ .