Forget the conventional way to solve DS questions.
We will solve this DS question using the variable approach.DS question with 1 variable: Let the original condition in a DS question contain 1 variable. Now, 1 variable would generally require 1 equation for us to be able to solve for the value of the variable.We know that each condition would usually give us an equation and Since we need 1 equation to match the numbers of variables and equations in the original condition,the logical answer is D. The answer could be A, B or D, but the default answer will be D.
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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.We have to find value of 'n'.Second and the third step of Variable Approach: From the original condition, we have 1 variable (n).To match the number of variables with the number of equations, we need 1 equation. Since conditions (1) and (2) will provide 1 equation each, D would most likely be the answer.Let’s take a look at each condition.Condition(1) tells us that 0 < n < 1.Since the answer is not unique, condition(1) is notsufficient by CMT 2.Condition(2) tells us that \(7/16\) is \(3/8\) more than n.=> \(\frac{7}{16}\) = \(\frac{3}{8}\) + n
=> n = \(\frac{7}{16}\) - \(\frac{3}{ 8}\) = \(\frac{1}{16}\)
Since the answer is unique, condition(2) is sufficient by CMT 2.So, B is the correct answer.Answer: B