All the numbers that are divisible by 8 are also divisible by 4 and 2.

True

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False

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Solution

The correct option is A
True

If a number is divisible by any number, then the number will be divisible by its factors.
4 and 2 are the factors of 8 ; hence any number divisible by 8 will be divisible by 4 and 2
For example. consider the number 4032 is divisible by 8

Last 2 digit is divisible by 4 and hence the number is divisible by 4
It is an even number and hence the number is divisible by 2.
Therefore any number divisible by 8 will be divisible by 2 and 4.

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Similar questions

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

(ii) All numbers divisible by 8 are 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.

Q. How many

8

's are there in the following number series which are exactly divisible by its immediately preceding number and also divisible by immediately succeeding number ?

824517284842282698454832843183

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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