Placement Papers - Infosys

INFOSYS PAPER - 16 OCT 2005

1.In a lunch hour staff in the company              had a race. Dennis beat Jim.
            Samantha was beat by Lousie and Jim in that order. Jack beat Jim.              Jack was not first. Who won the race.
            Ans : Dennis
           
            2.A ten digit number whose first digit is the number of ones, second              digit is the number of twos, third digit is the number of threes,              fourth digit is the number of fours, fifth digit is the number of              fives, sixth digit is the number of sixes, seventh digit is the              number of sevens, eight digit is the number of eights, ninth digit              is the number of nines and tenth digit is the number of zeros. what              is that digit.
           
            3,There was a burglary in a diamond shop. three thieves were              arrested, Smith,J,D. All the three blamed that " one of the other              two stole the diamonds. I didnt do it ".Atlast the police found out              that J was lying and that only one of them robbed. Who is tat.
           
            4..A lady goes for shopping. She bought some shoestrings. 4 times              the number of shoestrings, she bought pins and 8 times she bought              handkerchiefs. And she paid number of coins in the same as the              number of items she bought in each. How many handkerchiefs did she              buy.
           
            5.If one-fifth of a hive of bees flew to the badamba flower,              one-third flew to the slandbara, three times the difference of these              two numbers flew to an arbour, and one bee continued to fly about,              attracted on each side by the fragrant Ketaki and Malati, what was              the total number of bees ?
           
            6.Three couples were playing golf. A,B,C are the wives names and              X,Y,Z are the husbands names but not in order. The winner of the              game is the one who has the least number of points.
           
            (i) A,B,C,X got points as 104,102,100,94 respectively.
            (ii) Y and X got 96 and 98 but dont know who got what because their              names were not put in the scoreboard.
            (iii) X's wife bet Y's wife.
           
            Find who is married to who.
           
            7.If a large cube painted red from out side , if it cut into 125              equal part by six straight lines, then how many cubes were there              with
           
            (a) no face painted
            (b) only one face painted
            (c) only two faces painted
            (d) three faces painted
           
            What is the probability that the 125 cubes taken at random is red.
           
            8.Jack went for shopping to five stores. In each store he spent Rs.1              more than half of what was left from the previous purchase. How much              money he had when he entered the first store.
           
            9.A man enquires a person about the past 5 days temperatures at 12              noon in that region. The other replies that he doesn't remember the              actual figures but there was a different temperature on each day and              that their product gives 12. Assuming the temperature to the nearest              degree what are the temperatures on the five days?
           
            Ans: -1,-2,1,2,3
           
            Approach:
           
            We know that the smallest two integers that can give a product of 12              is 3*4 which is spilt up as 2*2*3. But no temperature is the              same...hence use -2 instead of 2. Now the product becomes -12.              Choose the other temperatures such that value of the product does              not change but only the sign changes. So naturally, the other two              options are -1 and 1.
           
            10.One eight mark question.