Forget the conventional way to solve DS questions.
We will solve this DS question using the variable approach.DS question with 3 variables and 1 Equation: Let the original condition in a DS question contain 3 variables and 1 Equation. Now, 3 variables and 1 Equation would generally require 2 more equations to give us the value of the variables.
We know that each condition would usually give us an equation, and since we need 2 more equations to match the number of variables and equations in the original condition, the equal number of equations and variables should logically lead to answer C.
To master the Variable Approach, visit
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Let’s apply the 3 steps suggested previously. [Watch lessons on our website to master these 3 steps]
Step 1 of the Variable Approach: Modifying and rechecking the original condition and the question.Let us give variable to each entity: Books(B) ; Videos(V) and Board Games(C).We have to find the value of 'V'
=> Given that 'B + V + C = 360'.
Second and the third step of Variable Approach: From the original condition, we have 3 variables (B, V and C) and 1 Equation( B + V + C = 360). To match the number of variables with the number of equations, we need 2 equations. Since conditions (1) and (2) will provide 1 equation each, C would most likely be the answer.Let’s take a look at both condition together.Condition(1) tells us that the number of books that the charity collected was 40 percent of the total number of books, videos, and board games that the charity collected.Condition(2) tells us that the number of books that charity collected was 66 2/3 percent of the total number of videos and board games that charity collected.=> B = \(\frac{40}{100}\) * 360 = 144
=> 144 = \(\frac{200 }{ 300}\) * (V+G)
=> V + G = 144 * \(\frac{3 }{ 2}\) = 216
But we cannot solve for the unique value of 'V'
Since the answer is not unique, both the conditions combined are not sufficient by CMT 2.Both conditions (1) and (2) combined are not sufficient.So, E is the correct answer.Answer: E