State true or false.

The numbers 1184 and 1210 are known as amicable numbers.

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True

False

answer is A.

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Detailed Solution

Given the numbers 1184 and 1210 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 1184 and 1210 are amicable numbers.
Then,
Divisor of 1184 = 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592,
Sum of the divisors = 1210
Similarly divisor of 1210 = 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605
Sum of the divisors = 1184
Here, the sum of the proper divisions of 1184 equals to 1210 and what is even more interesting is the sum of the proper devisers of 1210 equals 1184.
So the numbers (1184, 1210) are called amicable numbers.
Therefore, the given statement is true.
Hence 1 is the correct option.

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