Answer:
See Explanation
Step-by-step explanation:
Given
Arun = ¼
Varun = ⅙
Required
Determine the possible initial number of chocolate
The question requires options to work with which are missing; however, I'll explain how to solve and also list out possible options to make use of.
The question says Arjun gave out fractions of his chocolate without breaking an of them; this means that he gave out whole chocolate (i.e. whole number)
So, to solve this, we multiply the fraction given to Arun and Varun.
Any of the options that results in non decimal integer answers the question.
Take for instance, the options are:
a) 8 b) 15 c) 20 d) 48
Option A: 8
Arun = ¼ * 8 = 2
Varun = ⅙ * 8 = 1.33
Option B: 15
Arun = ¼ * 15 = 3.75
Varun = ⅙ * 15 =2.5
Option C: 20
Arun = ¼ * 20 = 5
Varun = ⅙ * 20 = 3.33
Option D: 48
Arun = ¼ * 48 = 13
Varun = ⅙ * 48 = 8
Option D answers the question because other options resulted in decimals for either Arun or Varun or both of them.