cmi-entrance 2011 QA4

cmi-entrance · India · ugmath 3 marks Not Maths

Given positive real numbers $a _ { 1 } , a _ { 2 } , \ldots , a _ { 2011 }$ whose product $a _ { 1 } a _ { 2 } \cdots a _ { 2011 }$ is 1 , what can you say about their sum $S = a _ { 1 } + a _ { 2 } + \cdots + a _ { 2011 }$ ?
(A) $S$ can be any positive number.
(B) $1 \leq S \leq 2011$.
(C) $2011 \leq S$ and $S$ is unbounded above.
(D) $2011 \leq S$ and $S$ is bounded above.

Given positive real numbers $a _ { 1 } , a _ { 2 } , \ldots , a _ { 2011 }$ whose product $a _ { 1 } a _ { 2 } \cdots a _ { 2011 }$ is 1 , what can you say about their sum $S = a _ { 1 } + a _ { 2 } + \cdots + a _ { 2011 }$ ?\\
(A) $S$ can be any positive number.\\
(B) $1 \leq S \leq 2011$.\\
(C) $2011 \leq S$ and $S$ is unbounded above.\\
(D) $2011 \leq S$ and $S$ is bounded above.

Paper Questions

QA1 QA2 QA3 QA4 QA5 QA6 QA7 QB1 QB2 QB3 QB4 QB5 QB6 QB7 QB8 QB9 QC1 QC2 QC3