State true or false.

The numbers 220 and 284 are known as amicable numbers.

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True

False

answer is A.

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Detailed Solution

Given the numbers 220 and 284 are known as amicable numbers.
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number.
As it is given that the numbers 220 and 284 are amicable numbers.
Then,
Divisor of 220 = 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110,
Sum of the divisors = 284
Similarly divisor of 284 = 1, 2, 4, 71, 142
Sum of the divisors = 220
Here, the sum of the proper divisions of 220 equals to 284 and what is even more interesting is the sum of the proper devisers of 284 equals 220.
So the numbers (220, 284) are called amicable numbers.
Therefore, the given statement is true.
Hence 1 is the correct option.

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