QA – Placement Quizzes | Progressions | Question 9
If the product of n positive integers is nn, then their sum is:
(A) A negative integer
(B) Equal to n
(C) Equal to n+(1/n)
(D) Never less than n2
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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