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Statement I : 220 and 284 are amicable numbers.
Statement II :If $^{a} {|_{b c}, (a, b) = 1, t h e n^{a} |}_{c}$ , where a, b, c $\in$ N

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A is true adn B is false

Both A and B are true

A is false and B is true

Both A and B are false

answer is A.

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Detailed Solution

Amicable numbers: Two numbers are said to be amicable if the sum of the divisors of first number, excluding itself is equal to the second number and vice versa.

Sum of divisors of 284 (except 284) $= 1 + 2 + 4 + 71 + 142 = 220$

Sum of divisors of 220 ( except 220 ) $= 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110$

$= 284$

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