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
Taking Medicine B will reduce the duration of Ailment C by twelve 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
    Taking Medicine B will reduce the duration of Ailment C by twelve days.
    Here, we have to find whether the given statement is true or false.
    From the given statements we can say that,
    a. Line 1 states that Ailment C lasts twice as long as Ailment D, which line 6 states is twice as long as Ailment B. Line 4 states that Ailment B lasts for 8 days
    b. Therefore, Ailment C lasts for 8×2×2=32 days.
    c. Line 5 states that Medicine B will half the duration of Ailment C. Thus,fraction numerator 32 over denominator 2 end fraction equals 16.
    So, Medicine B will reduce the ailment duration by 16 days, not 12 and as such this statement is false.
    Therefore, the conclusion in false.

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