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If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?

  • 4 day
  • 10 day
  • 40 day
  • 100 day
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  • Shailendra Kishore 7 years ago

    According to Question ,
    CAT 100 : 4 : : 100 : X
    MICE 100 : 4

    CAT = 100:4(Less cat more days) Indirect
    Mice = 100:4 (Less mice less days) Direct

    In Direct proportion, ratio will same.
    but in Indirect proportion, ratio will exchange.

    So, CAT is Indirect then , ratio of CAT will be = 4:100

    CAT 4 : 100 : : 100 : X
    MICE 100 : 4

    Then solution is,
    X*4*100 = (100*100*4)

    then X = (100*100*4)/(100*4)

    Answer is 100 Days.

  • Om Prakash 8 years ago

    If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?
    Ans- This ques. can be solved by man day work. i.e- m1*d1*w2=m2*d2*w1
    here, 100*100*4=4*d2*100
    or d2=100 days.
    Therefore, 4 Cats would kills 4 mice in 100 days.