Sequences Series : Sum of series

Question 2

The product of 6 positive numbers is 65, the sum of the 6 positive integers

1. Is definitely less than 65
2. Is definitely greater than 12
3. Is definitely less than 12
4. Cannot say anything about the sum of the 12 numbers

Correct Answer is Is definitely greater than 12. Choice (2)

Explanatory Answer

Product of 6 positive numbers, say a*b*c*d*e*f = 65 or

Arithmetic Mean > Geometric Mean or sum of the 6 numbers is greater than 2*6 = 12. Choice (2)

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AIEEE Math Problems, Practice Questions and Answers : Listed Topicwise

Sets, Relations & Functions		Permutation Combination		Sequences & Series
Limits, Continuity & Differentiability		Statistics & Probability		Trigonometry
Mathematical Reasoning