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 appropriate Medicine, Ailment D lasts longer than Ailment A.

  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: True


    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 appropriate Medicine, Ailment D lasts longer than Ailment A.
    Here, we have find whether the given statement is true or not.
    From the given statements we can say that,
    a. Line 4 states that Ailment A lasts for eight days.
    b. Line 6 states that Ailment D lasts for twice as long as Ailment B, thus sixteen days.
    c. Line 3 states that by taking Medicine C, the duration of Ailment D will be reduced by five days.
    So, it'll be eleven days.
    d. Line 5 states that Medicine B will half the duration of Ailment A; fraction numerator 8 over denominator 2 end fraction equals 4.
    Thus, it is correct that on taking appropriate Medicine, Ailment D lasts longer than Ailment A.
    Therefore, the conclusion is true.

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