CAT
Exam
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90degree
or concave if the internal angle is 270degree
.If the number of convex corners in such a polygon is 25, the number of concave corners must be??
Read Solution (Total 3)
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- 25-4= 21 concave corners must be thesre.
- 12 years agoHelpfull: Yes(3) No(2)
- 21 concave corners must be there.
- 12 years agoHelpfull: Yes(2) No(1)
- 90(25) + 270(n-25) = (n-2)*180.
25 + 3(n-25) = (n-2)*2.
3n - 50 = 2n-4
n = 46.
Hence, the required number of corners must be 46 - 25 = 21. - 8 years agoHelpfull: Yes(1) No(0)
CAT Other Question
Euclid has a triangle in mind. Its longest side has length 20 and another of its sides has length 10.Its area is 80. What is the exact length of its third side?
Consider the sets T = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3, … , 96. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, …)?