Problemset

No. Problem Tag
143 In the picture gear 1 has 8 teeth, gear 2 has 24 t... Combinatorics
142 N=8 x (8888........88); where there are k times 8 ... Algebra
141 A man has infinite number of red, violet, white, g... Combinatorics
140 How many regular polygons are possible that the su... Geometry
139 If the numbers from 1 to 100 are written.... Combinatorics
138 Suppose Elina bought a pen at 10 taka.....
137 A triangle is inscribed in a circle with radius of... Geometry
136 Suppose two numbers x and y are each chosen such..... Probability
135 5
134 4
133 3
132 2
131 1
130 5
129 4
128 3
127 2
126 1
125 5
124 4
123 3
122 2
121 1
120 5
119 4
118 3
117 2
116 5
115 4
114 3
113 2
112 1
111 5
110 4
109 3
108 2
107 1
106 5
105 4
104 3
103 2
102 1
101 4
100 3
99 2
98 1
96 5
95 4
94 A number N has three digits when expressed in base...
93 2
92 1
91 5
90 Three fair six-sided dice are rolled. What is the ...
89 3
88 Central High School is competing against Northern ...
87 1
86 5 Probability
85 4
84 3
83 2
82 1
81 4
80 3
79 2
78 1
77 4
76 3
75 4
73 2
71 5
70 3
69 2
68 1
67 A set of teams held a round-robin tournament in wh...
66 One of Michael’s responsibilities in organizing th...
65 At a gathering of 30 people, there are 20 people w...
64 Eight people are sitting around a circular table, ...
63 Zou and Chou are practicing their
62 Five men and nine women stand equally spaced aroun...
61 When Jon Stewart walks up stairs he takes one or t...
60 5
59 3
58 4
57 3
56 3
55 2
54 1
53 Five men and nine women stand equally spaced aroun...
52 Eight people are sitting around a circular table, ...
51 At a gathering of 30 people, there are 20 people w...
50 How many positive cubes divide
49 When Jon Stewart walks up stairs he takes one or t...
48 The 5x5 grid shown contains a collection of square...
47 Henry's Hamburger Haven offers its hamburgers with...
46 Let S be the set of permutations of the sequence 1...
45 Pat is to select six cookies from a tray containin...
44 Four distinct circles are drawn in a plane. What i...
43 An auditorium with 20 rows of seats has 10 seats i...
42 How many different patterns can be made by shading...
41 There are 120 seats in a row. What is the fewest n...