Quantitative Reasoning Geometry Online Test 1

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

2. 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?

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

4. 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?

5. In the following figure, find ∠ADC.

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

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

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

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

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

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

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