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Q.

Which of the following is the perfect number?


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a

6

b

7

c

8

d

9  

answer is A.

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Detailed Solution

Given numbers are 6, 7, 8 and 9.
A number is called a perfect number if by adding all the positive divisors of the number (except itself), the result is the number itself.
6 is the first perfect number. Its divisors (other than the number itself: 6) are 1,2 and 3 and 1+2+3=6.
7 is not a perfect number. Its divisors (other than the number itself: 7) is 1 and 1≠7.
8 is not a perfect number. Its divisors (other than the number itself: 8) are 1,2 and 4 and 1+2+4=7≠8.
9 is not a perfect number. Its divisors (other than the number itself: 9) are 1 and 3 and 1+3=4≠9.
Hence, the correct option is 1.
 
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