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Quiz Begins Here

Q #1
⏰ :

CAT Geometry: Obtuse Triangles - Integers


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x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z.



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Q #2
⏰ :

CAT Geometry: Isosceles Triangles - Integers


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How many isosceles triangles with integer sides are possible such that sum of two of the side is 12?



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Q #3
⏰ :

CAT Geometry: Triangles - Area


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Sides of a triangle are 6, 10 and x for what value of x is the area of the ? the maximum?

 


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Q #4
⏰ :

CAT Geometry: Equilateral triangle and circle


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Two circles are placed in an equilateral triangle as shown in the figure. What is the ratio of the area of the smaller circle to that of the equilateral triangle

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Q #5
⏰ :

CAT Geometry: Triangles - Perimeter


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Perimeter of a ? with integer sides is equal to 15. How many such triangles are possible?

 


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