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

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

False, True

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False, False

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True, True

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True, False

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Solution

The correct option is A
False, True

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

Factors of 8 are 1, 2, 4 and 8

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

But, vice-versa is not true.

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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

Q. Find the sum of

(i) the first 15 multiples of 8

(ii) the first 40 positive integers divisible by (a) 3 (b) 5 (c) 6.

(iii) all 3 − digit natural numbers which are divisible by 13.

(iv) all 3 − digit natural numbers, which are multiples of 11.

(v) all 2 − digit natural numbers divisible by 4.

(vi) first 8 multiples of 3.

Find the sum of
(i) the first 15 multiples of 8
(ii) the first 40 positive integers divisible by (a) 3 (b) 5 (c) 6.
(iii) all 3-digit natural numbers, which are divisible by 13.
(iv) all 3-digit natural numbers, which are multiples of 11.
(v) all 2-digit natural numbers divisible by 4.

Q. Find the sum of all natural numbers not exceeding

1000

, which are divisible by

4

but not by

8

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

The correct option is A False, True If a number is divisible by a number 'n', it is divisible by the factors of 'n' as well. Factors of 8 are 1, 2, 4 and 8 Any number divisible by 8 will also be divisible by 4. But, vice-versa is not true.

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

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

The correct option is A
False, True

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

Factors of 8 are 1, 2, 4 and 8

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

But, vice-versa is not true.