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Question

The number 19 + 91 is divisble by

A
19
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B
91
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C
Both 19 and 91
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D
11
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Solution

The correct option is D 11
We know that the number obtained by adding two numbers of the form "ab+ba" is always divisibe by 11.

ab + ba = (10×a+b) + (10×b + a) = (10+1)×a + (10+1)×b = 11a + 11b
= 11(a+b)⇒ This number is always divisible by 11.

So, option d is correct.

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