Geometry

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ABCD is an cyclic quadrilateral such that ∠ADB = 36º, ∠DBA = 45º and ∠DAC = 22º. Find the value of ∠DCA and ∠DCB?



46º and 56º
no
45º and 81º
yes
40º and 84º
no
54º and 81º
no
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Ratio of the areas of a square and a circle is 14:99. What is the ratio of the perimeter of the square to the circumference of circle?
44:69
no
14:33
yes
88:21
no
Can not be determined
no
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A big rectangular plot of area 4320 m2 is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot?
160 m x 27 m
no
240 m x 18 m
no
120 m x 36 m
yes
135 m x 32 m
no
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The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true?
C = S = T
no
C > S > T
yes
C < S < T
no
S < C < T
no
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