For n positive integers, if their product is nn, then what will be their sum?
(A)
Equal to n+(1/n)
(B)
Equal to n
(C)
A negative integer
(D)
Never less than n2
Answer: (D)
Explanation:
Clearly, since the given integers are positive, their sum can\’t be negative.
Also, since the numbers are all integers their sum can\’t be a fraction.
Let\’s take 1, 3 and 9. The product of these three integers is 27 = 33.
This can also be written as nn where n=3.
As we can see, the sum of these 3 integers is not equal to 3.
Therefore, we are left with the fourth option.
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