Q. If $n_{1},\ n_{2},\ n_{3},\ldots,\ n_{100}$ are positive real numbers such that $n_{1} + n_{2} + n_{3} + ... + n_{100} = 20$ And $k = n_{1}\left( n_{2} + n_{3} + n_{4} \right)\left( n_{5} + n_{6} + ... + n_{9} \right)\left( n_{10} + ... + n_{16} \right)\ldots\left( .. + n_{100} \right),$ then $k$ belongs to
A) (0, 100]
B) (0, 128]
C) [0, 144]
D) None of these
Explanation
The correct answer is Option D: None of these.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.