Latest UPSC Aptitude Question SOLUTION: A polygon has 44 diagonals. Find the number of its sides

• Placement Papers
• /
• UPSC
• /
• Category

UPSC Question Papers:

(#M40085879) UPSC Category question Keep an EYE

A polygon has 44 diagonals. Find the number of its sides

Asked In UPSC Jaspalsingh Parmar (9 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (2)   (0) Submit Your Solution

Read Solution (1) :

habeebullah  (5 years ago)

nC2 - n = 44 (given), then

½ n (n - 1) - n = 44

n^2 - n - 2 n = 88

n^2 - 3 n - 88 = 0

Solving the quadratic, we have

n^2 - 11 n + 8 n - 88 = 0

(n - 11) (n + 8) = 0

Since, n = -8 is not applicable, hence the polygon in question must have 11 number of sides to it

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.