Each of the ten students was allowed to improve his/her score in exactly one paper of choice with the objective of maximizing his/her final score, Everyone scored 100 in the paper in which he or she chose to improve. After that, the topper among the ten students was:

Ram

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Agni

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Pritam

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Dipan

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Solution

The correct option is D Dipan
Let us increase the score in one of the sujbects of the following candidates.
$\begin{matrix} L e a s t S c o r e s & C o n t r i b u t i o n i n n e t s c o r e & F i n a l S c o r e R a m & 94 i n g r o u p o f 2 & 3 i n g r o u p o f 5 & 96.1 + 0.6 = 96.7 A g n i & 82 i n g r o u p o f 2 & 9 i n g r o u p o f 5 & 94.3 + 1.8 = 96.1 P r i t a m & 83 i n g r o u p o f 2 & 8.5 i n g r o u p o f 5 & 93.9 + 1.7 = 95.6 D i p a n & 95 i n g r o u p o f 1 & 5 i n g r o u p o f 5 & 96 + 1 = 97.0 \end{matrix}$
So, Dipan will end with a highest total.

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