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Mensuration - Quant/Math - CAT 2013

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