Medicine Potencies Dosage

XAT 2012 · Quantitative Ability & Data Interpretation · Medium · Arithmetic

A medical practitioner has created different potencies of a commonly used medicine by dissolving tablets in water and 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 50 ml 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

  1. A.

    2 and ≤ 3 tablets

  2. B.

    3 and ≤ 3.25 tablets

  3. C.

    3.25 and ≤ 3.5 tablets

  4. D.

    3.5 and ≤ 3.75 tablets

  5. E.

    3.75 and ≤ 4 tablets

Answer

B

Explanation

Potency kk has kk tablets per 50 ml.

  • 10 ml of Potency 1 = 1050×1=0.2\frac{10}{50} \times 1 = 0.2 tablets.
  • 15 ml of Potency 2 = 1550×2=0.6\frac{15}{50} \times 2 = 0.6 tablets.
  • 30 ml of Potency 4 = 3050×4=2.4\frac{30}{50} \times 4 = 2.4 tablets. Total dosage = 0.2+0.6+2.4=3.20.2 + 0.6 + 2.4 = 3.2 tablets. Since 3.23.2 lies in >3> 3 and ≤3.25\le 3.25, option B is correct.

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