JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-44
question_answer
If a, b, c, d, e are positive real numbers such that \[a+b+c+d+e=15\] and\[a{{b}^{2}}{{c}^{3}}{{d}^{4}}{{e}^{5}}={{(120)}^{3}}\cdot (50),\]then the value of \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}+\,{{d}^{2}}+{{e}^{2}}\] is