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Mensuration - Quant/Math - CAT 2010

  1. Algebra
  2. Progressions
  3. Averages
  4. Clocks and Calendars
  5. Data Sufficiency
  6. English Grammar
  7. Function
  8. Geometry
  9. Interest
  10. Mensuration
  11. Mixtures & Alligations
  12. Number System
  13. Percentages
  14. Permutation & Combination
  15. Pipes & Cisterns And Work & Time
  16. Probability
  17. Profit & Loss
  18. Races
  19. Ratio, Proportion
  20. Speed, Time & Distance
  21. Trigonometry
  22. Miscellaneous
  23. General Knowledge
Question 4 the day: June 24, 2003

The question for the day is from the topic of Mensuration.
If each interior angle of a regular polygon is 150 degrees, then it is

(1) Octagon (2) Decagon
(3) Dodecagon (4) Tetrahedron
Correct Answer - (3)

Solution:


The sum of the exterior angle and interior angle of a regular polygon is 3600.

As the measure of each interior angle is 1500, the measure of each exterior angle will be 300.

The number of sides of a regular polygon is given by the following relationship n = 360/exterior angle

As the value of each exterior angle is 300, the number of sides = 12.




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