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Question

The sum of 437, 374 and 743 is divisible by 14.


A

True

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B

False

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Solution

The correct option is A

True


In 3 digit number abc
abc = 100 a + 10b + c

bca = 100 b + 10c + a

cab = 100 c + 10 a + b

On adding all three , we get . 111a + 111b + 111c

So 111( a+ b + c)

Here we have a = 4 , b = 3 and c = 7

111 ( 4 + 3 + 7 ) = 111 × 14

Hence the sum of given numbers is divisible by 14.


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