**Question:**

If the product of n positive integers is n^{n}, then their sum is:

**Option A):**

A negative integer**Option B):**

Never less than n^{2}**Option C):**

Equal to n+(1/n)**Option D):**

Equal to n

**Correct Answer is Option B):**

Never less than n^{2}

**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 = 3^{3}. This can also be written as n^{n} 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.