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Pass percentage with marks short of or above the pass mark: find maximum marks

This type of question, asked 2 times: CDS 2 2016, CDS 2 2017. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2016

    19
    A candidate scoring x%x\% marks in an examination fails by aa marks, while another candidate who scores y%y\% marks gets bb marks more than the minimum required pass marks. What is the maximum marks for the examination ?

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  2. Question 2

    CDS 2 2017

    27
    A student has to secure 40% of marks to pass an examination. He gets only 45 marks and fails by 5 marks. The maximum marks are

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