onmobile at mnnit on 16th sep 2k5

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  • 8/10/2019 OnMobile at MNNIT on 16th Sep 2K5

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    irst Round Test Paper

    1. During Certain period in Poland, it was observed that when if it rains in the

    Afternoon then it clears in the Morning and if it rains in the Morning it clears inthe Afternoon. It never rained in morning and afternoon together. If during that

    period, it rained on 100 das and was clear on 1! Afternoons and "# Mornings.$ow man das were there altogether % Mar's(

    Ans: 106 Days

    ). *hree brothers ma'e following statement+

    A+ I have the 'e.+ I don-t have the 'e.

    C+ does not have the 'e.

    At least one brother is spea'ing truth and one brother is ling. ho has the'e% Mar's(

    Ans: C has the key.

    /. A lotter s. ),,22,000 was won b agroup of ten people. *he all had

    contributed different amounts while purchasing the lotter tic'ets. *he decided

    to divide the mone such that there is e3ual difference in winning amount amongthem in order of there contribution. 4or e5ample, if the higher contributor got 100

    upees , others got "0, !0, 0, 60, 20, #0, /0, )0 and 10. hat amount did the

    highest winner get, given that sum of the lowest three is e3ual to the sum of the

    highest two % Mar's(

    Ans: Rs. 34,50,000

    #. 4ind the Minimum number which has e5actl 10 distinct positive factors

    e5cluding the 1 and it self as a factor. 4or e5ample, ! has ) distinct factors + ) and

    #. &2 Mar's(

    Ans: 60

    5. A person traveled 6 hours with a ertain speed. !" he had taken 1 #inute less

    to do eah #ile, he would have $one 30 #iles "arther than he atually did.

    %ow "ar did he $o& '5 (arks)

    Ans: *0 #iles.

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    6 (ihael and +ohn are oth very lever. -hey know there are 16 ards as "ollows:

    %eart : A, , 4

    /pade : +, , 4, , 2, 3

    Dia#ond : ,,5,4, 6

    Clu : A, 5/usan draws one ard "ro# aove 16 ards and tells the nu#er to (ihael and

    the suit to +ohn then she asks the# i" they know whih ard it was.

    (ihael says: ! dont know whih ard it is.

    +ohn says: ! knew that you dont know.

    (ihael says: 7ow, ! know whih ard it is.

    +ohn says: 7ow, ! know it too.

    Do you know whih ard it was & ' (arks)

    Second Round Test Paper

    1 Iam a /!stor building.ihavewithme two glass balls.i 'now that if i throw the ball outof the window it will never brea' if the

    floor is lessthan 5 and itwill alwas brea'if the floor number

    is e3ual of greater than 5. assuming that i can reuse the balls which dont brea'.find 5 in a minimal number of throws%%

    Ans+ if stairs7100 ans is 1#8this 3uestion in 9: MA$;ogic is s3rt8num.of stairs?..for this s3rt value we need trial if s3rt8/!?76 around...for ever 6 steps u have to trial..

    ) there r @ number of persons..in a circle..ever one is having

    1 rupee than his predecessor...initiall the r having li'e this. @ow first person will give 1 rupee to second person.second person

    will give ) rupees8double? and third person / rupees..and so on..

    1,),/,#........ @ow u have to repeat the process till one person is having thrice

    the amount of the an other person..

    i.e if one person is having 1 rupee..if an other person is having / rupees ,we can stop the game..

    uestion+

    how man persons can pla% what is the minimum amount one can start the game%8inital

    amount?

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    Ans+ 2 persons and minimum amount is 1 rupee.8this iscorrect?

    or / persons and min amount ) rupees8give answer depends up on 3uestion and conditions.?

    /. one 3uestion on boats ..i.e upstream and down stream..

    3uestion is...one boat has to cross a river with down stream 10mBs and

    upstream 20mBs..after reaching shore..it reverses the direction and down stream is )0mBs..stillthe gave some data abt still and current..some

    thing....3uestion is not that much correct and accurate..

    but answer is ratio of still water+current water

    1+#8remember properl the ma change the ratios?ta'e care

    #.

    4our members r there A,,C,D...these four persons will undergone one murder in a building..the will murder another person.

    among four one is 'iller,one ishelper atleast two will spea' truth alwas..

    a+ if

    b+

    c+ d+ i am innocent.

    a,b,c will give two statements each..

    who is the 'iller%

    Ans+ b is 'iller...a is the helper83uestion is not clear and correct...give thelogic according tothe 3uestion and e5plain also how u got the answer.

    2.

    *he r two stations A and .one will start from A to at @oon.81)?

    second person will start from to A at )+00PM.ut both will meet

    at 2 minutes past #0cloc'..but both will arrive their destinations at the same time..now what is time the will reach the destinations.

    Ans+

    6+108not sure...better to solve on ur own? we dont have time..