Quantitative Reasoning Geometry Online Test 1

1. In a quadrilateral ABCD, ∠B=90^° and AD²=AB²+BC²+CD², then ∠ACD is equal to

2. A man goes 10 m due east and then 24 m due north. Find the distance from the starting point.

3. The number of tangents that can be drawn to two non-intersecting circles is?

4. The Qutab Minar casts a shadow 150 m long at the same time when the Vikas Minar casts a shadow of 120 m long on the ground. If the height of the Vikas Minar is 80 m, then the height of the Qutab Minar is?

5. How many sides a regular polygon has with its interior angle eight times its exterior angle?

6. In the following figure, find ∠ADC.

7. The sum of the interior angles of a polygon is 1620^°.  The number of sides of the polygon are?

8. In a triangle ABC, ∠A= x^°, ∠B= y^° and ∠C =(y+20)^°. If 4x-y=10, then the triangle is?

9. An angle is equal to 1/3 rd of its supplement. Find its measure

10. The circumference of a triangle is always the point of intersection of the

11. The perimeters of two similar triangle ABC and PQR are 36 cm and 24 cm respectively. If PQ=10 cm, then the length of AB is?

12. If 5π/6 is the measure of each interior angle of a regular convex polygon, then it must be a