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CAT 2025 Lesson : Lines & Triangles - Past Questions

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11. Past Questions

Question 1

Consider the triangle ABC shown in the following figure where BC = 12 cm, DB = 9 cm, CD = 6 cm and ∠\angleBCD = ∠\angleBAC. What is the ratio of the perimeter of the triangle ADC to that of the triangle BDC?

[CAT 2005]

79\dfrac{7}{9}
89\dfrac{8}{9}
69\dfrac{6}{9}
59\dfrac{5}{9}

Question 2

The internal bisector of an angle A in a triangle ABC meets the side BC at point D. AB = 4, AC = 3 and ∠\angleA = 60°\degree. Then what is the length of the bisector AD?
[CAT 2002]

232 \sqrt3
1237\dfrac{12 \sqrt3}{7}
1538\dfrac{15 \sqrt3}{8}
637\dfrac{6 \sqrt3}{7}

Question 3

An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD in degrees?
[CAT 2006]

75
90
120
135
150

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