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

False, True

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

False, False

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

True, True

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

True, False

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

Open in App

Solution

The correct option is A
False, True

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.

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

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.

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.

Join BYJU'S Learning Program

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

The correct option is A False, True 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.

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

The correct option is A
False, True

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.