Xavier Aptitude Test 2012 Paper

Question : 72 of 85

Marks: +1, -0

A medical practitioner has created different potencies ofa commonly used medicine by dissolving tablets in waterand using the resultant solution.
Potency 1 solution: When 1 tablet is dissolved in 50 ml, the entire 50 ml is equivalent to one dose.
Potency 2 solution : When 2 tablets are dissolved in 50 ml, the entire some of this solution is equivalent to 2 doses. ....and so on.
This way he can give fractions of tablets based on the intensity of infection and the age of the patient.
For a particular patient, he administers 10 ml of potency 1, 15 ml of potency 2 and 30 ml of potency 4. The dosage administered to the patient is equivalent to

> 2 and ≤ 3 tablets
> 3 and ≤ 3.25 tablets
> 3.25 and ≤ 3.5 tablets
> 3.5 and ≤ 3.75 tablets
> 3.75 and ≤ 4 tablets

Validate

Solution:

(b) 50 ml of potency 1 solution is equivalent to 1 tablet, 50 ml of potency 2 solution is equivalent to 2 tablets and so on.
Hence, 10 ml of potency 1 solution is equivalent to

=\ {10}/{50}= {1}/{5}

tablet
Similarly, 15

{ml}

of potency 2 solution and 30

\ {ml}

of potency 4 solution corresponds to

\ {15}/{50} \× 2

and

{30}/{50} \× 4

tablets respectively.
Hence the required dosage is

=\ {1}/{5}+\ {3}/{5}+\ {12}/{5}=3.2

tablets

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