INFOSYS – 02 June 2002   1. I bought a suit and sold it for 10% profit. If i had bought it for 10% less and sold it for 20% profit, i would have sold it for 25np less. Find the actual cost? (4 Marks)   2. x power 1/3 - x power 1/9 = 60. Find the value of x? (4 Marks)   3. Three squares are chosen at random in a chess board. Find the probability that the chosen squares form a diagonal. (6 Marks)   4. There are two stations A and B 99Kms apart. At each other station in between them, there is a sign post indicating the distance from A & B.    On how many posts, there are only two digits. (E.g. 33, 66) (6 Marks)   5. Allen, Betty, C, Gim, Ohio are a professional dancer, Oracle Professional, Harpic player and one is in waiting.    He got married. Now, if only the Oracle Professional speaks truth,    Given some conditions:    A : B is not a Professional dancer    B :    C : G is not Oracle Professional    G :    O : I will marry    Find the professions of each. (6 Marks)   6. Two dice are thrown. The numbers shown on the dice are not added but multiplied.    Some conditions are given    I           II       3 less than first throw    III     2 less than half of I    IV    V    Find the scores of these five throws. (8 Marks)   7. There are two families Smiths and H family. and four children Rohan, Praveen, Praneeth, and Latif.    Some relation between their ages is given    1) Praneeth is the oldest    2) Youngest of H family is 2 years less than the youngest of Smiths family.    3)    4)    Find their ages (8 Marks)   8. T, U, V, W, X, Y, Z are the persons available. Out of them, 5 persons should be chosen.    1) T will not work with X    2) If V is there, X should also be there    3) If U is there, Y should also be there    4)    5)    Four questions are given on their arrangement (Multiple Choice Questions) (8 Marks)   Total Marks : 50 Total Time   : 60 mins   And One Essay. – 15mins