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Question

The integers 1,2,.. 40 are written on a blackboard. The following operation is then repeated 39 times; in each repetition, any two numbers, say a and b, currently on the blackboard, are erased and a new number a+b-1 is written. What is the number left on the board at the end?


A
820
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B
821
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C
781
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D
819
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E
780
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Solution

The correct option is C 781
Option (C) is the correct answer. Check the video for the approach.

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