CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Triangles

CAT Questions | CAT Geometry Questions | Polygons
× CAT Questions
CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Percents; Profits; SICI Speed & Time; Races Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Coordinate Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions Permutation Probability
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion
DI LR: Bar Graphs DI LR: Pie Charts DI LR: Multiple Graphs DI LR: Word Problems DI LR: Line Graphs DI LR: Sequencing DI LR: Grid Puzzles DI LR: Math Puzzles DI LR: Visualization DI LR: Other Patterns DI LR: CAT 2017 Cet DI LR: CAT 2017 Rural Survey DI LR: CAT 2017 Happiness DI LR: CAT 2017 Airlines DI LR: CAT 2017 Travel Route DI LR: CAT 2017 Food Delivery DI LR: CAT 2017 Square Layout DI LR: CAT 2017 Team Project DI LR: CAT 2017 Assets DI LR: CAT 2017 Pizza DI LR: CAT 2017 Electives DI LR: CAT 2017 Chess DI LR: CAT 2017 Dorms DI LR: CAT 2017 Tea DI LR: CAT 2017 Friends DI LR: CAT 2017 Security Scan
CAT Online Coaching
CAT Question MenuCAT Questions

The question is from the topic polygons. It discusses about the angles formed by diagnols in a polygon.CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems.

Question 45: The number of sides in a regular polygon is ‘T’ times the number of diagonals in it. What is the interior angle of this polygon in terms of T?

  1. 180 * \\frac{(T+2)}{(3T+2)}\\)
  2. 540 * \\frac{(T+2)}{(3T+2)}\\)
  3. 360 * \\frac{(T+2)}{(3T+2)}\\)
  4. 90 * \\frac{(T+2)}{(3T+2)}\\)

Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!

2IIM : Best Online CAT Coaching.

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!

Explanatory Answer

Method of solving this CAT Question from polygons: Knowing the relationship between number of sides and diagonals of a polygon would be useful.

Let the number of sides in the regular polygon be n.
Therefore, Number of diagonals = nC2 - n = \\frac{n(n-1)}{2}\\) - n = \\frac{n^2-3n}{2}\\)
Given, Number of sides = p x Number of diagonals
=> n = T * \\frac{n^2-3n}{2}\\)
=> n = \\frac{2}{T}\\) + 3
Interior angle = (n-2) * \\frac{180}{n}\\) + 3
= (\\frac{2}{T}\\)+ 3 - 2) * \\frac{180}{2/T + 3}\\)
= (\\frac{2}{T}\\) + 1) * \\frac{180}{2/T + 3}\\)
= 180 * \\frac{(T+2)}{(3T+2)}\\)

The question is " What is the interior angle of this polygon in terms of T?"

Hence, the answer is 180 * \\frac{(T+2)}{(3T+2)}\\)

Choice A is the correct answer.


CAT Preparation Online | CAT Geometry questions Videos On YouTube

Other useful sources for Geometry Question | Geometry Triangles Circles Quadrilaterals Sample Questions

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT

Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now