Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to 120 nConsider

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The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

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Latest KVPY Aptitude Question SOLUTION: Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to 120º. Consider the one with maximum possible area. Its area is

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(#M40027302) KVPY question Mental Ability-2010 Keep an EYE

Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to 120º.
Consider the one with maximum possible area. Its area is

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