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Question

Select the statements that are true.


A

A number is divisible by 2, if its last (unit) four digits are divisible by 2.

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B

A number is divisible by 4, if the number formed by its last two digits is divisible by 4

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C

A number is divisible by 8, if the number formed by its last two digits is divisible by 8

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D

A number is divisible by 8, if the number formed by its last three digits is divisible by 8

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Solution

The correct options are
B

A number is divisible by 4, if the number formed by its last two digits is divisible by 4


D

A number is divisible by 8, if the number formed by its last three digits is divisible by 8



(i) A number is divisible by 2, if its last (unit) digit is divisible by 2 (e.g. 78, 50, 146, etc.)

(ii) A number is divisible by 4, if the number formed by its last two digits is divisible by 4.

e.g. 172 is divisible by 4 as the number 72 formed by its last two digits is divisible 4. Similarly, 392, 500, 29320, etc. are also divisible by 4.

(iii) A number is divisible by 8, if the number formed by its last three digits is divisible by 8. (e.g. 33176, 436000, etc)


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