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

False

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

True

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

Open in App

Solution

The correct option is A
False

If a number is divisible by a number 'n', it is also divisible by the factors of 'n'.

Factors of 8 = 1, 2, 4, 8

Any number divisible by 8 will also be divisible by 4.

But vice-versa is not true. For example 20 is divisible by 4 but not divisible by 8

Suggest Corrections

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

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.

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.

(i) All numbers divisible by 4 are divisible by 8.

(ii) All numbers divisible by 8 are divisible by 4.

Join BYJU'S Learning Program

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

The correct option is A False If a number is divisible by a number 'n', it is also divisible by the factors of 'n'. Factors of 8 = 1, 2, 4, 8 Any number divisible by 8 will also be divisible by 4. But vice-versa is not true. For example 20 is divisible by 4 but not divisible by 8

The correct option is A
False

If a number is divisible by a number 'n', it is also divisible by the factors of 'n'.

Factors of 8 = 1, 2, 4, 8

Any number divisible by 8 will also be divisible by 4.

But vice-versa is not true. For example 20 is divisible by 4 but not divisible by 8