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Question

Aditya did not get a call from even a single college. What would be the maximum aggregate marks obtained by him?

A
181
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B
176
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C
184
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D
196
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Solution

The correct option is C 184
Since we have to maximize Aditya's marks, let us take the base values of 50 marks in each section and try to reduce that by minimum values to ensure he doesn't get any call. We notice that by reducing the marks obtained in section C to 41, we ensure colleges 1, 2, 3 & 5 are ruled out. Now for colleges 4 & 6, reducing the marks obtained in section D to 43 ensures that these colleges are also ruled out. Please note that we are reducing the score to 1 less than the minimum cutoff across all the colleges for that particular section.
In the other two sections A and B, Aditya may score 50 each. So, the maximum possible aggregate marks = 50 + 50 + 41 + 43 = 184

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