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    Mathematics
    Grade9
    Easy

    Question

    Ailment C lasts twice as long as Ailment D
    Taking Medicine A halves the duration of Ailment B
    Medicine C reduces the duration of Ailment D by five days
    Ailment A and B last for eight days
    Taking Medicine B halves the duration of Ailment A and C
    Ailment B lasts half the duration as Ailment D
    Ailment D lasts for 18 days.

    1. True    
    2. False    
    3. Insufficient Information    

    hintHint:

    Reasoning is drawing conclusions using statements and pictures. There are two types of reasonings they are deductive and inductive. In deductive reasoning we use facts, definitions and postulates to draw a conclusion. There are two laws under deductive reasoning they are Law of Detachment and Law of Syllogism. Here, we have to determine whether the drawn conclusion in the question is correct or not.

    The correct answer is: False

      In the question it is given that,
      Ailment C lasts twice as long as Ailment D
      Taking Medicine A halves the duration of Ailment B
      Medicine C reduces the duration of Ailment D by five days
      Ailment A and B last for eight days
      Taking Medicine B halves the duration of Ailment A and C
      Ailment B lasts half the duration as Ailment D
      Ailment D lasts for 18 days.
      Here, we have to find whether the given statement is true or false.
      From the given statements we can say that.
      a. Line 4 states that Ailment B lasts for eight days.
      b. Line 6 states that Ailment D lasts for twice as long as Ailment B, thus sixteen days.
      Therefore, this statement is false.

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