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Q.

Among the following, not a pair of amicable numbers is

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a

(220, 284)

b

(500, 566)

c

(284, 184)

d

(420, 496)

answer is A, C, D.

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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  

(284, 184), (420, 496) and (500, 566) are  not a pair of amicable numbers .

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