CAT Exam  >  CAT Questions  >   A number of points are marked on a plane and... Start Learning for Free
A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?
  • a)
    4
  • b)
    10
  • c)
    5
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A number of points are marked on a plane and are connected pair wise ...
nC2 = 10
n(n - 1) = 20
n = 5
Free Test
Community Answer
A number of points are marked on a plane and are connected pair wise ...
Understanding the problem
Given that a number of points are marked on a plane and connected pair wise by a line segment, and the total number of line segments is 10. We need to find out how many points are marked on the plane.

Solution
- Let's assume there are 'n' points marked on the plane.
- Each point is connected to every other point by a line segment.
- The number of line segments that can be formed by connecting 'n' points is given by the formula: nC2 = n(n-1)/2.
- According to the problem, the total number of line segments is 10.
- So, n(n-1)/2 = 10.
- Solving the equation, we get n(n-1) = 20.
- The possible pairs of 'n' that satisfy this equation are 5 and 4, with n = 5 being the number of points.
Therefore, the correct answer is option C
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer?
Question Description
A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer?.
Solutions for A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A number of points are marked on a plane and are connected pair wise by a line segment. How many points are marked on the plane if the total number of line segments is 10?a)4b)10c)5d)6Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev