There are n equally spaced points 1, 2, ...... n marked on the circumference of a circle. If the point 15 is directly opposite to the point 49, then the total number of points is
Explanation
Concept:
Consider n equally spaced points 1, 2, ...... 12 marked on the circumference of a circle.
Number of points on Rightside = (Difference of directly opposite point) - 1 = (12 - 6) - 1 = 5
Number of points on Leftside = (Difference of directly opposite point) - 1 = (12 - 6) - 1 = 5
Total number of points = Rightside points + Leftside points + directly opposite points = 5 + 5 + 2 = 12points
Calculation:
Directly opposite points are 49 and 15
Difference of directly opposite point = 49 - 15 = 34
Number of points on Rightside = 34 - 1 = 33
Number of points on Leftside = 34 - 1 = 33
Total number of points = 33 + 33 + 2 = 68
