CHALLENGER-1

           (1)         X / |X| < X. Which of the following must be true about integer X? X is not equal to 0. 

                           A. X > 1              B. X > -1         C. |X| < 1         D. |X| = 1                 E.|X|^2 > 1

               (2)                If each term in the sum a1+a2+a3...+an is either 7 or 77 and the sum is 350, which of the                                                    following could be n? 

                               A. 38              B. 39       C. 40        D. 41                 E. 42

                              

            (3)  Among 200 people 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30   of people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?------------------

           (4)       Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel    to the x-axis. The x and y coordinates of P, Q and R are to be integers that satisfy the inequalities 
-4 <= x <= 5 and 6 <= y <= 16. How many different triangles with these properties could be                                                      constructed? 

                                A. 110             B. 1100       C. 9900       D. 10,000                 E. 12,100

           (5).          There are two set each with the number 1, 2, 3, 4, 5, 6. If randomly choose one number from each   set, what is the probability that the product of the 2 numbers is divisible by 4?