Basic Geometrical Ideas

15. The number of line segments in the following figure is

  • (A) 5 
  • (B) 10         
  • (C) 15
  • (D) 20

14. Measures of the two angles between an hour and minute hands of a clock at 9 O’ clock are

  • (A) 60°, 300°        
  • (B) 270°, 90° 
  • (C) 75°, 285°        
  • (D) 30°, 330°

13. If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is

  • (A) 5 ½°      
  • (B) 7 ½°      
  • (C) 6 ½°      
  • (D) 7 ¼°  

12. The common part between the two angles BAC and DAB in the given figure is 

  

  • (A) Line AD 
  • (B) Line AB
  • (C) Point A only
  • (D) Point B only

11. The number of common points in the two angles marked in the following figure is

  • (A) 5 
  • (B) 7 
  • (C) 4 
  • (D) 6

10. The number of common points in the two angles marked in the given figure is

  • (A) 2 
  • (B) 3 
  • (C) 4 
  • (D) 5

9. The number of angles less than 180° in the given figure is

  • (A) 12
  • (B) 13         
  • (C) 14         
  • (D) 15

8. The number of triangles in the given figure is

  • (A) 7 
  • (B) 6
  • (C) 4 
  • (D) 5

7. In the given figure, ∠BAC = 90° and ADBC. The number of right triangles in the figure is

  • (A) 1 
  • (B) 2
  • (C) 3 
  • (D) 4

6. In the given figure, AB = BC and AD = BD = DC.  The number of isosceles triangles in the figure is

  • (A) 1 
  • (B) 2
  • (C) 3 
  • (D) 4

5. A polygon has a prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

  • (A) 4 
  • (B) 5 
  • (C) 7 
  • (D) 10

4. If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?

  • (A) One obtuse angle and one acute angle
  • (B) One right angle and one acute angle
  • (C) Two acute angles
  • (D) Two right angles

3. If the sum of two angles is greater than 180°, then which of the following is not possible for the two angles?

  • (A) One obtuse angle and one acute angle
  • (B) One reflex angle and one acute angle
  • (C) Two obtuse angles
  • (D) Two right angles

2. The number of triangles in the following figure is

  • (A) 10
  • (B) 12
  • (C) 13         
  • (D) 14

1. The number of obtuse angles in the following figure is

  • (A) 2 
  • (B) 3
  • (C) 4 
  • (D) 5

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