Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 63
In a regular polygon, any interior angle exceeds the exterior angle by 120 degrees. Then, the number of diagonals of this polygon is
Correct Answer: 54
Solution
The sum of the interior angles of a polygon of 'n' sides is given by $$\left(2n-4\right)\times\ 90$$, and the sum of the exterior angles of a polygon is 360 degrees.
So, the difference between them will be 120 * n
=> $$\left(2n-4\right)90-360=120n$$
=> 60n = 720 => n = 12.
We know that the number of diagonals of a regular polygon is nC2 - n = 12C2 - 12 = 66 - 12 = 54.
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 35+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Linear Equations QuestionsCAT Percentages QuestionsCAT Profit And Loss QuestionsCAT Probability, Combinatorics QuestionsCAT Time Speed Distance Questions
CAT DILR Questions | LRDI Questions For CAT
CAT DI with connected data sets QuestionsCAT Venn Diagrams QuestionsCAT Table with Missing values QuestionsCAT Puzzles QuestionsCAT Routes And Networks Questions
