MARKS: 50

1>. Rohit can catch either the harbour line train or main line train from his nearest railway station kandala to reach his office. Both the trains have a frequency of 10 min. In the morning office Hours. The harbour line trains arrive evary 10 min. Starting from 5:00 a.m and the main line trains arrive at every 10 min. Starting from 5:02a.m.

2>. In a certain department store the position of Buyer, Cashier, Clerk, Floorwalkar & Manager are held, though not necessarily respectively, by Evans, Ames, Conroy, Davis amp; Buyer. The cashier & the manager were roommates in college. The Buyer is bachelor, Evans & Miss Ames have only business contacts with each other. Mrs. Conroy was greatly dosappointed when her husband told her that the manager had refuged to give him a raise. Davis is going to be the best man when the clerk & the cashier are married. What position does each person held?

3>. Tanveer and Kunal went down a descending escalator. The escalator was going down at a contant speed. Kunal walked down the steps and had to cover 50 steps to reach the bottom. Tanveer on the other hand, ran down the steps of the escalator and hence had to take 75 steps to reach The bottom. Actually, Tanveer took 3 steps in the same time, it took Kunal to take 1 step. How many steps would be visible when the escalator is stopped and not operating?

4>. In a four team foot-ball tournament, all the teams played each Other in three rounds of matches as shown in the Table - A. Some of The results of the tournament are shown in the Table - B. Using the Clues given below, please fill in the blank columns in the result Table - B (Goals for & Goals Against?).

Note : Two points for win, one point for draw & zero points for defeat are awarded.

Clues :

1. East zone won the tournament despite scoring one less goal than the runners-up.
2. North zone scored an odd number of goals in their first round Game.
3. South zone, who failed to score in their final match, were beaten by a two-goal margin in the first round.
4. East zone lost their match aginst west zone.
5. All four teams scored goals in the second round matches.
6. West zone scored the same number of goals against east zone as North zone scored aginst them.
7. East zone scored four goals in round two match.

   Table - A (Matches Played)

   Round 1

   North zone vs South zone
   West zone vs east zone.

   Round 2

   South zone vs West zone
   East zone vs North zone

   Round 3

   South zone vs East zone
   West zone vs North zone.

   Table - B (Results)

    

                 Played  Won Draw Lost Golas For Goals Against Points
    East Zone      3      -    -   -      ?           3           4
    North Zone     3      -    -   -      ?           ?           4
    West Zone      3      -    -   -      4           3           3
    South Zone     3      -    -   -      2           5           1
   

   5>. At six o'clock the wall clock struck 6 times. Checking with my Watch, I noticed that the time between the first & last strokes was 30 Seconds. How long will the clock take to stike 12 at mid night?

   Ans: 66 Seconds.

   6>. Please answer the questions with reference to the facts given below:-

   8 Marks

   1. The members of a certain tribe are divided into three castes:-
   Abhor, Dravid , & Magar castes.
   2. An abhor women cannot marry a dravid man.
   3. A magar man cannot marry a dravid women.
   4. A son takes the caste of his father, a daughter takes the caste of her mother.
   5. All marriages except those mentiond above are permitted.
   6. There are no children born out of wed-lock.

   Questions:-

   1) An abhor woman marries and has three children, all of whom are Members.

   i) If she were to be married to a magar man, they have no males.

   ii) If she were to be married to abhor man, they may have Male child.

   iii) If her fourth child is male, he may be a dravid.

   a) i only
   b) iii only
   c) i & ii only
   d) ii & iii only
   e) i , ii & iii

   2) It can be inferred from the condition described that a magar man

   i) cannot have a dravid grand mother.

   ii) Cannot have a dravid mother.

   iii) May have a abhor mother.

   a) i only
   b) ii only
   c) i & ii only
   d) ii & iii only
   e) i , ii & iii

   3) When two dravids are married, it is impossible for them to have

   i) Any female abhor descendents.

   ii) An abhor great-grand daughter.

   iii) An abhor grand daughter.

   a)i only
   b) iii only
   c) i & ii only
   d) ii & iii only
   e) i, ii & iii

   4) An abhor woman

   a) Can have a dravid grandson.
   b) Cannot have a magar son.
   c) Cannot have a magar grand son.
   d) Can have a magar daughter-in-law.
   e) Cannot have a dravid grand daughter.

   7>. In certain community, there are thousand married couples. Two thirds of the husbands who are taller than their wives are also heavier and three quarters of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?

   2 Marks

   8>. Both the Guptas and Sinhas have two young sons, whose ages are under Eleven. The names of the boys, whose ages rounded off to the nearest year are all different, are Rajesh, Praveen, Lalith and Prathap. Taking the ages of the boys only to the nearest year, the following statements are true:-

   Rajesh is three years younger than his brother is.
   Praveen is the oldest.
   Prathap is 5 years older than the younger Sinha's boy.
   Lalith is half as old as one of the Guptha's boys.
   The total ages of the boys in each family differ by the same amount today as they did five years ago.

   7 Marks

   9>. A long Division Problem:-

   7 Marks

    

        xx)xxxxxxxxx(xxxxxxx
           xx
         ------
           xxx
            xx
          ------
            xxx
             xx
          -------
              xx
              xx
           -------
              xxx
              xxx
            -------
            -------
   

   In the complete solution, there are four 5's. Find the missing digits.

   10>. Following services are operated by Asian airlines between the two are located in different countries with different time zones. As it is normally done, the time shown is the local time - viz IST & TST.

    

                          Regular Flight      Supersonic Flight
    Arrive Alexandria        17:10 TST            15:40 TST
    Depart Alexandria        20:50 TST            22:50 TST
    Arrived Rampur           23:40 IST
   

   Is the arrival time of supersonic flight into Rampur from Alexandria same as the Arrival time of the Regular flight, assuming each Service - Regular and Supersonic maintains its own constant speed of flight.

   Note: Don't answer for all the puzzules. 8 are the safe one.