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1 In the figure, point D divides side BC of triangle ABC into 1177
2 The sum of four consecutive odd numbers is equal to the sum 1171
3 If two integers are chosen at random out of the set {2, 5, 7, 8}, what 1160
4 During the month of April, the average temperatures on day n 1159
5 An isosceles triangle with one angle of 120° is inscribed in 1146
6 If the product of all the unique positive divisors of n, a p 1124
7 A box contains three pairs of blue gloves and two pairs of 1109
8 If [3(ab)^3 + 9(ab)^2 – 54ab] / [(a-1)(a + 2)] = 0, and a and b are bo 1090
9 Daniel is playing a dice game in which a dice is rolled 5 times 1090
10 Arrow AB which is a line segment exactly 5 units along with 1083
11 The function g(x) is defined for integers x such that if x 1078
12 Twenty meters of wire is available to fence off a flower bed in the 1067
13 A bus from city M is traveling to city N at a constant speed 1065
14 If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest 1059
15 There are 500 cars on a sales lot, all of which have either two doors 1058
16 In the x-y plane, point (p, q) is a lattice point if both p 1057
17 How many even 3 digit integers greater than 700 with 1056
18 How many numbers that are not divisible by 6 divide evenly 1040
19 If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte 1035
20 An integer between 1 and 300, inclusive, is chosen at random 1034
21 A list of numbers has six positive integers. Three of those integers 1028
22 How many values can the integer p=|x+3|-|x-3| assume? 1024
23 What is the probability of getting a sum of 8 or 14 when 1020
24 On a partly cloudy day, Derek decides to walk back from work 1019
25 A big cube is formed by rearranging the 160 coloured and 56 1009