CAT Exam Numerical Ability

what is the mean proportion of (2 - sqrt3) and (26 - 16sqrt3)

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CAT Other Question

vessel is filed with liquid .3 parts water and 5 parts syrup.how much mixture drawn off and replaced with water .so that mixture contain half water and half syrup? 2 jars X and Y has Horlicks and water mixed in the ratio of 4:3 and 2:3, in what ratio must these combinations be combined to create a new combination containing half Horlicks and half water?